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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Cardiovasc. Med.</journal-id>
<journal-title>Frontiers in Cardiovascular Medicine</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Cardiovasc. Med.</abbrev-journal-title>
<issn pub-type="epub">2297-055X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fcvm.2023.1103250</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Cardiovascular Medicine</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Risk factors for heart, cerebrovascular, and kidney diseases: evaluation of potential side effects of medications to control hypertension, hyperglycemia, and hypercholesterolemia</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes"><name><surname>Nawata</surname><given-names>Kazumitsu</given-names></name>
<xref ref-type="corresp" rid="cor1">&#x002A;</xref><uri xlink:href="https://loop.frontiersin.org/people/1728200/overview"/></contrib>
</contrib-group>
<aff><addr-line>Hitotsubashi Institute for Advanced Study (HISA)</addr-line>, <institution>Hitotsubashi University</institution>, <addr-line>Kunitachi</addr-line>, <country>Japan</country></aff>
<author-notes>
<fn fn-type="edited-by"><p><bold>Edited by:</bold> Xiao Huang, Second Affiliated Hospital of Nanchang University, China</p></fn>
<fn fn-type="edited-by"><p><bold>Reviewed by:</bold> Takahiko Nagamine, Sunlight Brain Research Center, Japan Nagwa Ali Sabri, Ain Shams University, Egypt Ibrahim C. Haznedaroglu, Hacettepe University Hospital, T&#x00FC;rkiye</p></fn>
<corresp id="cor1"><label>&#x002A;</label><bold>Correspondence:</bold> Kazumitsu Nawata <email>kn1016abc@gmail.com</email></corresp>
</author-notes>
<pub-date pub-type="epub"><day>02</day><month>06</month><year>2023</year></pub-date>
<pub-date pub-type="collection"><year>2023</year></pub-date>
<volume>10</volume><elocation-id>1103250</elocation-id>
<history>
<date date-type="received"><day>18</day><month>01</month><year>2023</year></date>
<date date-type="accepted"><day>22</day><month>05</month><year>2023</year></date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2023 Nawata.</copyright-statement>
<copyright-year>2023</copyright-year><copyright-holder>Nawata</copyright-holder><license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract><sec><title>Background</title>
<p>Heart disease (HD), cerebrovascular disease (CBD), and kidney disease (KD) are serious diseases worldwide. These diseases constitute the leading causes of death worldwide and are costly to treat. An analysis of risk factors is necessary to prevent these diseases.</p>
</sec><sec><title>Data and Methods</title>
<p>Risk factors were analyzed using data from 2,837,334, 2,864,874, and 2,870,262 medical checkups obtained from the JMDC Claims Database. The side effects of medications used to control hypertension (antihypertensive medications), hyperglycemia (antihyperglycemic medications), and hypercholesterolemia (cholesterol medications), including their interactions, were also evaluated. Logit models were used to calculate the odds ratios and confidence intervals. The sample period was from January 2005 to September 2019.</p>
</sec><sec><title>Results</title>
<p>Age and history of diseases were found to be very important factors, and the risk of having diseases could be almost doubled. Urine protein levels and recent large weight changes were also important factors for all three diseases and made the risks 10&#x0025;&#x2013;30&#x0025; higher, except for KD. For KD, the risk was more than double for individuals with high urine protein levels. Negative side effects were observed with antihypertensive, antihyperglycemic, and cholesterol medications. In particular, when antihypertensive medications were used, the risks were almost doubled for HD and CBD. The risk would be triple for KD when individuals were taking antihypertensive medications. If they did not take antihypertensive medications and took other medications, these values were lower (20&#x0025;&#x2013;40&#x0025; for HD, 50&#x0025;&#x2013;70&#x0025; for CBD, and 60&#x0025;&#x2013;90&#x0025; for KD). The interactions between the different types of medications were not very large. When antihypertensive and cholesterol medications were used simultaneously, the risk increased significantly in cases of HD and KD.</p>
</sec><sec><title>Conclusion</title>
<p>It is very important for individuals with risk factors to improve their physical condition for the prevention of these diseases. Taking antihypertensive, antihyperglycemic, and cholesterol medications, especially antihypertensive medications, may be serious risk factors. Special care and additional studies are necessary to prescribe these medications, particularly antihypertensive medications.</p>
</sec><sec><title>Limitations</title>
<p>No experimental interventions were performed. As the dataset was comprised of the results of health checkups of workers in Japan, individuals aged 76 and above were not included. Since the dataset only contained information obtained in Japan and the Japanese are ethnically homogeneous, potential ethnic effects on the diseases were not evaluated.</p>
</sec>
</abstract>
<kwd-group>
<kwd>heart disease</kwd>
<kwd>cerebrovascular disease</kwd>
<kwd>kidney disease</kwd>
<kwd>side effects of medications</kwd>
<kwd>antihypertensive medications</kwd>
</kwd-group><counts>
<fig-count count="7"/>
<table-count count="7"/><equation-count count="29"/><ref-count count="80"/><page-count count="0"/><word-count count="0"/></counts><custom-meta-wrap><custom-meta><meta-name>section-at-acceptance</meta-name><meta-value>Cardiovascular Pharmacology and Drug Discovery</meta-value></custom-meta></custom-meta-wrap>
</article-meta>
</front>
<body><sec id="s1" sec-type="intro"><label>1.</label><title>Introduction</title>
<p>Heart disease (HD), cerebrovascular disease (CBD), and kidney disease (KD) are serious diseases. Ischemic HD (IHD), stroke (a type of CBD), and KD were the leading, second-leading, and tenth-leading causes of deaths globally in 2019, respectively (<xref ref-type="bibr" rid="B1">1</xref>). The World Health Organization (WHO) estimated (<xref ref-type="bibr" rid="B1">1</xref>) that IHD caused 8.9 million or 16&#x0025; of the world&#x0027;s total deaths, stroke caused 6.2 million deaths, approximately 11&#x0025; of the total deaths, and the deaths caused by KD totaled 1.3 million in 2019.</p>
<p>In the United States, HD, CBD (stroke), and KD were the leading, fifth leading, and tenth-leading causes of death in 2020. They caused 696,962 (20.6&#x0025;), 160,264 (4.7&#x0025;), and 52,547 (1.6&#x0025;) deaths, respectively (percentages of total deaths are listed in parentheses) (<xref ref-type="bibr" rid="B2">2</xref>).</p>
<p>In Japan, HD, CBD, and KD were the second-, fourth-, and eighth-leading causes of death in 2020 (<xref ref-type="bibr" rid="B3">3</xref>). They caused 205,596 (15.0&#x0025;), 102,978 (7.5&#x0025;), and 26,948 (2.0&#x0025;) deaths in 2020, respectively (percentages of total deaths are listed in parentheses). The medical expenditures in fiscal year 2019 (<xref ref-type="bibr" rid="B4">4</xref>) were 2.09 trillion yen for HD, 1.83 trillion yen for CBD, and 1.66 trillion yen for KD, respectively. These medical expenditures accounted for 12.6&#x0025; of the total Japanese national medical expenditure of 44.39 trillion yen.</p>
<p>The American Heart Association (AHA) (<xref ref-type="bibr" rid="B5">5</xref>) described the risk factors for coronary HD. The major risk factors are classified into three categories: (i) non-modifiable risk factors that cannot be changed; (ii) modifiable risk factors that can be modified, treated, or controlled; and (iii) other factors that contribute to HD risks. Non-modifiable risk factors include age, sex, and heredity (including race). Modifiable risk factors include tobacco smoking, high blood cholesterol, total cholesterol, triglycerides, high blood pressure or hypertension, physical inactivity, obesity, being overweight, and diabetes. Other factors included stress, alcohol consumption, diet, and nutrition. Centers for Disease Control and Prevention (CDC) (<xref ref-type="bibr" rid="B6">6</xref>) described that the risk factors for HD and stroke are high blood pressure, low-density lipoprotein (LDL) cholesterol, diabetes, smoking and secondhand smoke exposure, obesity, unhealthy diet, and physical inactivity.</p>
<p>High blood pressure (BP) or hypertension is considered a major risk factor for HD or cardiovascular disease (CVD). Fuchs and Whelton (<xref ref-type="bibr" rid="B7">7</xref>) noted that hypertension had the strongest evidence of causation among the risk factors for CVD. The American College of Cardiology (ACC), AHA, and other organizations (<xref ref-type="bibr" rid="B8">8</xref>) presented a new guideline (the 2017ACC/AHA guideline) for hypertension in 2017. Under the new guideline, the criteria for hypertension lowered to 130/80&#x2005;mmHg (SBP&#x2009;&#x2265;&#x2009;130 or DBP&#x2009;&#x2265;&#x2009;80&#x2005;mmHg) from 140/90&#x2005;mmHg (SBP&#x2009;<inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM1"><mml:mo>&#x2265;</mml:mo></mml:math></inline-formula><sub>&#x2009;</sub>140 or DBP&#x2009;<inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM2"><mml:mo>&#x2265;</mml:mo></mml:math></inline-formula>&#x2009;90&#x2005;mmHg) of the JNC7 guideline settled in 2003 (<xref ref-type="bibr" rid="B9">9</xref>). Nawata (<xref ref-type="bibr" rid="B10">10</xref>) reported that 14.0&#x0025; and 38.0&#x0025; were classified as having hypertension according to the 140/90 and 130/90&#x2005;mmHg criteria, respectively. Muntner et al. (<xref ref-type="bibr" rid="B11">11</xref>) mentioned that the 2017 ACC/AHA guideline would increase medication use and reduce the prevalence of CVD.</p>
<p>Many studies have analyzed the relationship between high BP or hypertension [especially high systolic BP (SBP)] and HD or CVD (<xref ref-type="bibr" rid="B12">12</xref>&#x2013;<xref ref-type="bibr" rid="B23">23</xref>). Although most of these studies indicated that hypertension is a risk factor for HD and CVD, some questioned the relationship between them (<xref ref-type="bibr" rid="B13">13</xref>, <xref ref-type="bibr" rid="B18">18</xref>&#x2013;<xref ref-type="bibr" rid="B20">20</xref>, <xref ref-type="bibr" rid="B22">22</xref>, <xref ref-type="bibr" rid="B23">23</xref>).</p>
<p>Risk factors for CBD (stroke) are classified as non-modifiable and modifiable factors. The American Stroke Association (ASA) (<xref ref-type="bibr" rid="B24">24</xref>) stated that nonmodifiable risk factors include age, family history, race, gender, prior stroke history, transient ischemic attack (TIA), and heart attack. Modifiable risk factors include high BP, smoking, diabetes, diet, physical inactivity, obesity, high blood cholesterol, artery disease, peripheral artery disease, atrial fibrillation, and sickle cell disease. Various studies have been conducted on CBD (<xref ref-type="bibr" rid="B25">25</xref>&#x2013;<xref ref-type="bibr" rid="B31">31</xref>). In case of CBD, long-term rehabilitation frequently becomes a serious problem in addition to prevention, detections, and treatment (<xref ref-type="bibr" rid="B25">25</xref>, <xref ref-type="bibr" rid="B26">26</xref>, <xref ref-type="bibr" rid="B30">30</xref>).</p>
<p>Furthermore, CDC (<xref ref-type="bibr" rid="B32">32</xref>) described diabetes and high BP as two important risk factors for chronic KD (CKD). HD, obesity, family history of CKD, inherited kidney disorders, past kidney damage, and older age were other risk factors. The American Kidney Fund (<xref ref-type="bibr" rid="B33">33</xref>) mentioned that diabetes is a leading risk factor, and high BP and race or ethnicity are other important risk factors. The Kidney Foundation of Canada (<xref ref-type="bibr" rid="B34">34</xref>) also mentioned that diabetes, high BP, and a family history of KD are risk factors. Since KD, especially CKD, is a serious global burden (<xref ref-type="bibr" rid="B35">35</xref>), many studies on its risk factors (<xref ref-type="bibr" rid="B36">36</xref>&#x2013;<xref ref-type="bibr" rid="B40">40</xref>) and treatment procedures have been conducted (<xref ref-type="bibr" rid="B41">41</xref>&#x2013;<xref ref-type="bibr" rid="B46">46</xref>). CKD is a costly disease to treat. Liyanage et al. (<xref ref-type="bibr" rid="B42">42</xref>) reported that &#x201C;renal replacement therapy (RRT), through either dialysis or renal transplantation, is a lifesaving yet high-cost treatment for people with end-stage kidney disease.&#x201D; Although the results of cost-effectiveness analyses (<xref ref-type="bibr" rid="B47">47</xref>&#x2013;<xref ref-type="bibr" rid="B51">51</xref>) suggest that renal transplantation is more efficient than dialysis, few renal transplantations have been performed in Japan. The number of kidney transplantations in the United States (<xref ref-type="bibr" rid="B52">52</xref>) was 23,642 in 2020. In contrast, the numbers in Japan (<xref ref-type="bibr" rid="B53">53</xref>) were 216 and 127 in the fiscal years 2019 and 2020, respectively, and the number of dialysis patients (<xref ref-type="bibr" rid="B54">54</xref>) was 347,641 at the end of 2020. Nawata and Kimura (<xref ref-type="bibr" rid="B55">55</xref>) reported that the medical cost of an individual with KD was 14.5 times higher than that of an individual without KD.</p>
<p>In the present study, the risk factors for HD, CBD, and KD were analyzed using the JMDC Claims Database (<xref ref-type="bibr" rid="B56">56</xref>), which includes 13,157,681 medical checkups performed on 3,233,271 individuals in Japan. The side effects of medications to control hypertension (antihypertensive medications), hyperglycemia (antihyperglycemic medications), and hypercholesterolemia (cholesterol medications) on these diseases were also evaluated.</p>
</sec>
<sec id="s2"><label>2.</label><title>Data, design of the study and models</title>
<sec id="s2a"><label>2.1.</label><title>Data</title>
<p>In Japan, most employees aged 40 years or older undergo mandatory medical check-ups at least once a year under the Industrial Safety and Health Act. Younger employees and their family members may voluntarily undergo medical checkups. The JMDC Claims Database is a nationwide health information database that collects data from various health insurance societies and includes 13,157,681 medical check-ups obtained from 3,233,271 individuals from January 2005 to September 2019. The database contains various health information, including HD, CBD, and KD histories.</p>
</sec>
<sec id="s2b"><label>2.2.</label><title>Design of the study and models</title>
<p>In this study, not only conventional risk factors but also the effects of antihypertensive, antihyperglycemic, and cholesterol medications were analyzed using logit (logistic regression) models.</p>
<p>In the rest of the paper, taking antihypertensive medications is referred to as &#x201C;with antihypertensive medications&#x201D; and not taking medications is referred to as &#x201C;without antihypertensive medications.&#x201D; This phrasing is similarly used for the other medications. <xref ref-type="table" rid="T1">Table&#x00A0;1</xref> shows the percentages of observations with histories of HD, CBD, and KD classified as with and without medications. The percentages having disease histories of individuals with medications are several times larger than those without medications, as shown in &#x201C;Ratio (a/b)&#x201D; and &#x201C;95&#x0025; CI&#x201D; [95&#x0025; confidence intervals (CIs) are calculated using the formula given in Appendix A]. For HD history, the ratio of the percentages is 6.88 with a 95&#x0025; CI of 6.82&#x2013;6.94 between individuals with and without BP medications.</p>
<table-wrap id="T1" position="float"><label>Table 1</label>
<caption><p>Percentages of observations having HD, CBD, and HD histories by taking medications or not.</p></caption>
<table frame="hsides" rules="groups">
<colgroup>
<col align="left"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th valign="top" align="left">Disease</th>
<th valign="top" align="center">Mean (a)</th>
<th valign="top" align="center">SD</th>
<th valign="top" align="center">Obs.</th>
<th valign="top" align="center">Mean (b)</th>
<th valign="top" align="center">SD</th>
<th valign="top" align="center">Obs.</th>
<th valign="top" align="center">Ratio (a/b)</th>
<th valign="top" align="center">95&#x0025; CI</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center" colspan="3">With antihypertensive medications</td>
<td valign="top" align="center" colspan="3">Without antihypertensive medications</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">HD</td>
<td valign="top" align="center">7.37&#x0025;</td>
<td valign="top" align="center">26.13&#x0025;</td>
<td valign="top" align="center">11,80,666</td>
<td valign="top" align="center">1.07&#x0025;</td>
<td valign="top" align="center">10.30&#x0025;</td>
<td valign="top" align="center">93,07,991</td>
<td valign="top" align="center">6.88</td>
<td valign="top" align="center">6.82&#x2013;6.94</td>
</tr>
<tr>
<td valign="top" align="left">CBD</td>
<td valign="top" align="center">3.91&#x0025;</td>
<td valign="top" align="center">19.39&#x0025;</td>
<td valign="top" align="center">11,80,246</td>
<td valign="top" align="center">0.45&#x0025;</td>
<td valign="top" align="center">6.66&#x0025;</td>
<td valign="top" align="center">93,08,321</td>
<td valign="top" align="center">8.78</td>
<td valign="top" align="center">8.67&#x2013;8.90</td>
</tr>
<tr>
<td valign="top" align="left">KD</td>
<td valign="top" align="center">1.29&#x0025;</td>
<td valign="top" align="center">11.28&#x0025;</td>
<td valign="top" align="center">11,55,359</td>
<td valign="top" align="center">0.14&#x0025;</td>
<td valign="top" align="center">3.78&#x0025;</td>
<td valign="top" align="center">91,93,796</td>
<td valign="top" align="center">9.00</td>
<td valign="top" align="center">8.79&#x2013;9.21</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center" colspan="3">With antihyperglycemic medications</td>
<td valign="top" align="center" colspan="3">Without antihyperglycemic medications</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">HD</td>
<td valign="top" align="center">7.45&#x0025;</td>
<td valign="top" align="center">26.25&#x0025;</td>
<td valign="top" align="center">348,781</td>
<td valign="top" align="center">1.59&#x0025;</td>
<td valign="top" align="center">12.49&#x0025;</td>
<td valign="top" align="center">10,13,5861</td>
<td valign="top" align="center">4.70</td>
<td valign="top" align="center">4.64&#x2013;4.76</td>
</tr>
<tr>
<td valign="top" align="left">CBD</td>
<td valign="top" align="center">3.23&#x0025;</td>
<td valign="top" align="center">17.68&#x0025;</td>
<td valign="top" align="center">348,628</td>
<td valign="top" align="center">0.75&#x0025;</td>
<td valign="top" align="center">8.64&#x0025;</td>
<td valign="top" align="center">10,13,5931</td>
<td valign="top" align="center">4.30</td>
<td valign="top" align="center">4.21&#x2013;4.38</td>
</tr>
<tr>
<td valign="top" align="left">KD</td>
<td valign="top" align="center">1.34&#x0025;</td>
<td valign="top" align="center">11.49&#x0025;</td>
<td valign="top" align="center">341,206</td>
<td valign="top" align="center">0.23&#x0025;</td>
<td valign="top" align="center">4.84&#x0025;</td>
<td valign="top" align="center">10,00,3946</td>
<td valign="top" align="center">5.70</td>
<td valign="top" align="center">5.52&#x2013;5.88</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center" colspan="3">With cholesterol medications</td>
<td valign="top" align="center" colspan="3">Without cholesterol medications</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">HD</td>
<td valign="top" align="center">8.11&#x0025;</td>
<td valign="top" align="center">27.30&#x0025;</td>
<td valign="top" align="center">794,335</td>
<td valign="top" align="center">1.26&#x0025;</td>
<td valign="top" align="center">11.16&#x0025;</td>
<td valign="top" align="center">96,90,936</td>
<td valign="top" align="center">6.42</td>
<td valign="top" align="center">6.36&#x2013;6.48</td>
</tr>
<tr>
<td valign="top" align="left">CBD</td>
<td valign="top" align="center">3.52&#x0025;</td>
<td valign="top" align="center">18.42&#x0025;</td>
<td valign="top" align="center">793,993</td>
<td valign="top" align="center">0.62&#x0025;</td>
<td valign="top" align="center">7.83&#x0025;</td>
<td valign="top" align="center">96,91,190</td>
<td valign="top" align="center">5.70</td>
<td valign="top" align="center">5.64&#x2013;5.76</td>
</tr>
<tr>
<td valign="top" align="left">KD</td>
<td valign="top" align="center">1.01&#x0025;</td>
<td valign="top" align="center">10.00&#x0025;</td>
<td valign="top" align="center">783,142</td>
<td valign="top" align="center">0.21&#x0025;</td>
<td valign="top" align="center">4.59&#x0025;</td>
<td valign="top" align="center">95,62,642</td>
<td valign="top" align="center">4.79</td>
<td valign="top" align="center">4.73&#x2013;4.85</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="table-fn1"><p>SD, standard deviation; Obs., no. of observations; HD, heart disease; CBD, cerebrovascular disease; KD, kidney disease; 95&#x0025; CI, 95&#x0025; confidence interval calculated from the formulas in Appendix A.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>However, we cannot say that taking medications increases the probability of developing diseases from these facts. If an individual once had these diseases, the medications would be continuously prescribed for treatment and recurrence prevention purposes afterward. Therefore, causality problems (i.e., diseases are causes, and prescriptions of medications are results) must be considered in the analysis. The following methods were used to avoid causality problems.</p>
<p>For the analysis of HD, individuals who had HD history data at both years t and t&#x2009;&#x002B;&#x2009;1, no HD history at year t (&#x201C;without HD history&#x201D; hereafter), and had data (either positive or negative) concerning HD at year t&#x2009;&#x002B;&#x2009;1 (i.e., the following year) were selected, and the same selection methods were used for CBD and KD. Logit (logistic regression) models were used for the analysis.</p>
<p>Define:
<list list-type="simple">
<list-item>
<p><inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM3"><mml:mi>H</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:math></inline-formula> (dummy variable) is 1 if an individual has a HD history at year t and 0 otherwise,</p></list-item>
<list-item>
<p><inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM4"><mml:mi>C</mml:mi><mml:mi>B</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:math></inline-formula> (dummy variable) is 1 if an individual has a CBD history at year t and 0 otherwise, and</p></list-item>
<list-item>
<p><inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM5"><mml:mi>K</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:math></inline-formula> (dummy variable) is 1 if an individual has a KD history at year t and 0 otherwise.</p></list-item>
</list>We use the following three models in which <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM6"><mml:mi>H</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM7"><mml:mi>C</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM8"><mml:mi>K</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mspace width="thickmathspace" /></mml:mrow></mml:msub></mml:math></inline-formula> are the dependent variables.</p>
<p>The basic design of the model is the models given by<disp-formula id="disp-formula1"><label>(1)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="DM1"><mml:mi>P</mml:mi><mml:mo stretchy="false">[</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mrow><mml:mo fence="false" stretchy="false">|</mml:mo></mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">]</mml:mo><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mrow><mml:mi mathvariant="normal">&#x039B;</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msubsup><mml:mi>x</mml:mi><mml:mi>t</mml:mi><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msubsup><mml:mi>&#x03B2;</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:math></disp-formula>where <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM9"><mml:msub><mml:mi>y</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:math></inline-formula> is a variable representing a disease history, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM10"><mml:mrow><mml:mi mathvariant="normal">&#x039B;</mml:mi></mml:mrow></mml:math></inline-formula> is the distribution function of the logistic distribution given by <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM11"><mml:mrow><mml:mi mathvariant="normal">&#x039B;</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x03C9;</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:mi mathvariant="normal">exp</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x03C9;</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mspace width="thickmathspace" /><mml:mo>+</mml:mo><mml:mspace width="thickmathspace" /><mml:mrow><mml:mi mathvariant="normal">exp</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x03C9;</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mfrac></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM12"><mml:msub><mml:mi>x</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:math></inline-formula> is a vector of covariates at t. It may be possible to extend the model to <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM13"><mml:mrow><mml:mi mathvariant="normal">&#x039B;</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:munderover><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mn>0</mml:mn></mml:mrow><mml:mi>k</mml:mi></mml:munderover><mml:mo>&#x2061;</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msubsup><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. However, this model is not practical. As <italic>k</italic> increases, (i) the number of observations decreases, (ii) the number of parameters increases, (iii) since most covariates take the same or similar values at t-1, t-2,&#x2026;t-<italic>k</italic>, multicollinearity becomes a serious problem, and (iv) the portion of individuals stayed in the same company for long years increases; that may cause a sample selection bias.</p>
<p>Nawata (<xref ref-type="bibr" rid="B23">23</xref>, <xref ref-type="bibr" rid="B57">57</xref>) evaluated the risk factors of HD and CBD; however, the histories of other diseases and interactions of medications were not considered. Since some individuals simultaneously take two or more different types of medications, interactions between medications are very important issues to consider. Their effects were also evaluated in these models. The following models (Models A, B and C) were considered in the analysis.</p>
<p>Basic model:<disp-formula id="disp-formula52"><label>(2)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="DM2"><mml:mtable rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mrow><mml:mi>P</mml:mi><mml:mo stretchy="false">[</mml:mo><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo fence="false" stretchy="false">|</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mo stretchy="false">]</mml:mo><mml:mo>=</mml:mo><mml:mrow><mml:mi mathvariant="normal">&#x039B;</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>A</mml:mi><mml:mi>g</mml:mi><mml:mi>e</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mi>F</mml:mi><mml:mi>e</mml:mi><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>e</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mi>t</mml:mi><mml:mn>1</mml:mn></mml:mrow><mml:mspace width="2em" /></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mspace width="thinmathspace" /><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>5</mml:mn></mml:msub><mml:mi>B</mml:mi><mml:mi>M</mml:mi><mml:mi>I</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>6</mml:mn></mml:msub><mml:mi>S</mml:mi><mml:mi>B</mml:mi><mml:mi>P</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>7</mml:mn></mml:msub><mml:mi>D</mml:mi><mml:mi>B</mml:mi><mml:mi>P</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>8</mml:mn></mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">&#x005F;</mml:mi><mml:mi>S</mml:mi><mml:mi>u</mml:mi><mml:mi>g</mml:mi><mml:mi>a</mml:mi><mml:mi>r</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>9</mml:mn></mml:msub><mml:mi>H</mml:mi><mml:mi>b</mml:mi><mml:mi>A</mml:mi><mml:mn>1</mml:mn><mml:mi>c</mml:mi></mml:mrow><mml:mspace width="2em" /></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mspace width="thinmathspace" /><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>10</mml:mn></mml:mrow></mml:msub><mml:mi>H</mml:mi><mml:mi>D</mml:mi><mml:mi>L</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>11</mml:mn></mml:mrow></mml:msub><mml:mi>L</mml:mi><mml:mi>D</mml:mi><mml:mi>L</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msub><mml:mi>T</mml:mi><mml:mi>r</mml:mi><mml:mi>i</mml:mi><mml:mi>g</mml:mi><mml:mi>l</mml:mi><mml:mi>y</mml:mi><mml:mi>c</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi><mml:mi>i</mml:mi><mml:mi>d</mml:mi><mml:mi>e</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>13</mml:mn></mml:mrow></mml:msub><mml:mi>A</mml:mi><mml:mi>L</mml:mi><mml:mi>T</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>14</mml:mn></mml:mrow></mml:msub><mml:mi>A</mml:mi><mml:mi>S</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mspace width="2em" /></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mspace width="thinmathspace" /><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>15</mml:mn></mml:mrow></mml:msub><mml:mi>G</mml:mi><mml:mi>G</mml:mi><mml:mi>P</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>16</mml:mn></mml:mrow></mml:msub><mml:mi>U</mml:mi><mml:mi mathvariant="normal">&#x005F;</mml:mi><mml:mi>S</mml:mi><mml:mi>u</mml:mi><mml:mi>g</mml:mi><mml:mi>a</mml:mi><mml:mi>r</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>17</mml:mn></mml:mrow></mml:msub><mml:mi>U</mml:mi><mml:mi mathvariant="normal">&#x005F;</mml:mi><mml:mo movablelimits="true" form="prefix">Pr</mml:mo><mml:mi>o</mml:mi><mml:mi>t</mml:mi><mml:mi>e</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>18</mml:mn></mml:mrow></mml:msub><mml:mi>S</mml:mi><mml:mi>m</mml:mi><mml:mi>o</mml:mi><mml:mi>k</mml:mi><mml:mi>e</mml:mi></mml:mrow><mml:mspace width="2em" /></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mspace width="thinmathspace" /><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>19</mml:mn></mml:mrow></mml:msub><mml:mi>A</mml:mi><mml:mi>l</mml:mi><mml:mi>c</mml:mi><mml:mi>o</mml:mi><mml:mi>h</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi><mml:mi 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/></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mspace width="thinmathspace" /><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>29</mml:mn></mml:mrow></mml:msub><mml:mi>S</mml:mi><mml:mi>l</mml:mi><mml:mi>e</mml:mi><mml:mi>e</mml:mi><mml:mi>p</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>30</mml:mn></mml:mrow></mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">&#x005F;</mml:mi><mml:mi>B</mml:mi><mml:mi>P</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>31</mml:mn></mml:mrow></mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">&#x005F;</mml:mi><mml:mi>G</mml:mi><mml:mi>l</mml:mi><mml:mi>u</mml:mi><mml:mi>cos</mml:mi><mml:mo>&#x2061;</mml:mo><mml:mi>e</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>32</mml:mn></mml:mrow></mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">&#x005F;</mml:mi><mml:mi>C</mml:mi><mml:mi>h</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi><mml:mi>e</mml:mi><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi></mml:mrow><mml:mspace width="2em" /></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mspace width="thinmathspace" /><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>33</mml:mn></mml:mrow></mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">&#x005F;</mml:mi><mml:mi>B</mml:mi><mml:mi>P</mml:mi><mml:mi mathvariant="normal">&#x0026;</mml:mi><mml:mi>G</mml:mi><mml:mi>L</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>34</mml:mn></mml:mrow></mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">&#x005F;</mml:mi><mml:mi>B</mml:mi><mml:mi>P</mml:mi><mml:mi mathvariant="normal">&#x0026;</mml:mi><mml:mi>C</mml:mi><mml:mi>H</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>35</mml:mn></mml:mrow></mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">&#x005F;</mml:mi><mml:mi>G</mml:mi><mml:mi>L</mml:mi><mml:mi mathvariant="normal">&#x0026;</mml:mi><mml:mi>C</mml:mi><mml:mi>H</mml:mi></mml:mrow><mml:mspace width="2em" /></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mspace width="thinmathspace" /><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>36</mml:mn></mml:mrow></mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">&#x005F;</mml:mi><mml:mi>B</mml:mi><mml:mi>P</mml:mi><mml:mi mathvariant="normal">&#x0026;</mml:mi><mml:mi>G</mml:mi><mml:mi>L</mml:mi><mml:mi mathvariant="normal">&#x0026;</mml:mi><mml:mi>C</mml:mi><mml:mi>H</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>37</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mn>38</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mspace width="2em" /></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>Model A (HD model):<disp-formula id="disp-formula2"><label>(3)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="DM3"><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>H</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>H</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>C</mml:mi><mml:mi>B</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mspace width="thinmathspace" /><mml:mrow><mml:mi mathvariant="normal">and</mml:mi></mml:mrow><mml:mspace width="thinmathspace" /><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>K</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:math></disp-formula>Model B (CBD model):<disp-formula id="disp-formula3"><label>(4)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="DM4"><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>C</mml:mi><mml:mi>B</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:mi>B</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>H</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mspace width="thinmathspace" /><mml:mrow><mml:mi mathvariant="normal">and</mml:mi></mml:mrow><mml:mspace width="thinmathspace" /><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>K</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:math></disp-formula>Model C (KD model):<disp-formula id="disp-formula4"><label>(5)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="DM5"><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>K</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>K</mml:mi><mml:mi>D</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>H</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mspace width="thinmathspace" /><mml:mrow><mml:mi mathvariant="normal">and</mml:mi></mml:mrow><mml:mspace width="thinmathspace" /><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:mi>B</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:math></disp-formula>All covariates are values at t, and the subscript <italic>t</italic> is omitted in the covariates except <italic>HD<sub>t</sub>, CBD<sub>t</sub></italic>, and <italic>HD<sub>t</sub></italic>. The definitions of variables other than disease history are as follows:
<list list-type="simple">
<list-item>
<p><italic>Age</italic> (age of an individual),</p></list-item>
<list-item>
<p><italic>Female</italic> (dummy variable) is 1 if female and 0 if male,</p></list-item>
<list-item>
<p><italic>Family</italic> (dummy variable) is 1 if a family member and 0 otherwise,</p></list-item>
<list-item>
<p><italic>t1</italic> (time trend) year &#x2013; 2004,</p></list-item>
<list-item>
<p><italic>BMI</italic> (body mass index) weight (kg)/[height (m)]<sup>2</sup>,</p></list-item>
<list-item>
<p><italic>SBP</italic> (systolic blood pressure) mmHg,</p></list-item>
<list-item>
<p><italic>DBP</italic> (diastolic blood pressure) mmHg,</p></list-item>
<list-item>
<p><italic>B_Sugar</italic> (blood sugar) mg/dl,</p></list-item>
<list-item>
<p><italic>HbA1c</italic> (hemoglobin A1c) &#x0025;,</p></list-item>
<list-item>
<p><italic>HDL</italic> (high-density lipoprotein cholesterol) mg/dl,</p></list-item>
<list-item>
<p><italic>LDL</italic> (low-density lipoprotein cholesterol) mg/dl,</p></list-item>
<list-item>
<p><italic>Triglyceride</italic> (serum triglyceride level) mg/dl,</p></list-item>
<list-item>
<p><italic>ALT</italic> (alanine aminotransferase) units per liter (U/L),</p></list-item>
<list-item>
<p><italic>AST</italic> (aspartate aminotransferase) U/L,</p></list-item>
<list-item>
<p><italic>GGP</italic> (&#x03B3;-glutamyl transferase) U/L,</p></list-item>
<list-item>
<p><italic>U_Sugar</italic> (urine sugar; integers of 1&#x2013;5) is 1 if undetected, 2 if around 50&#x2005;mg/dl, 3 if around 100&#x2005;mg/dl, 4 if around 250&#x2005;mg/dl, and 5 if around 500&#x2005;mg/dl or over,</p></list-item>
<list-item>
<p><italic>U_Protein</italic> (urine protein; integers of 1&#x2013;5) is 1 if undetected, 2 if around 15&#x2005;mg/dl, 3 if around 30&#x2005;mg/dl, 4 if around 100&#x2005;mg/dl, and 5 if 250&#x2005;mg/dl or over,</p></list-item>
<list-item>
<p><italic>Smoke</italic> (dummy variable) is 1 if with smoking habit and 0 otherwise,</p></list-item>
<list-item>
<p><italic>Alcohol_Freq</italic> (frequency of alcohol intake; integer 0&#x2013;2) is 0 if never, 1 if sometimes, and 2 if every day,</p></list-item>
<list-item>
<p><italic>Alcohol_Amount</italic> (amount of alcohol intake; integer 0&#x2013;3) is 0 if none, 1 if drinking less than 180&#x2005;ml of Japanese sake wine (with an alcohol percentage of about 15&#x0025;) or equivalent alcohol per day when drinking, 2 if drinking 180&#x2013;360&#x2005;ml, 3 if drinking 360&#x2013;540&#x2005;ml, and 4 if drinking 540&#x2005;ml or more,</p></list-item>
<list-item>
<p><italic>Weight_1</italic> (dummy variable) is 1 if weight changed by 3&#x2005;kg or more in a year and 0 otherwise</p></list-item>
<list-item>
<p><italic>Weight_20</italic> (dummy variable) is 1 if weight increased by 10&#x2005;kg or more from age 20 and 0 otherwise,</p></list-item>
<list-item>
<p><italic>Eat_Fast</italic> (dummy variable) is 1 if eating faster than other people and 0 otherwise,</p></list-item>
<list-item>
<p><italic>Late_Supper</italic> (dummy variable) is 1 if eating supper within two hours of bedtime three times or more in a week and 0 otherwise,</p></list-item>
<list-item>
<p><italic>No_Breakfast</italic> (dummy variable) is 1 if not eating breakfast three times or more in a week and 0 otherwise,</p></list-item>
<list-item>
<p><italic>Exercise</italic> (dummy variable) is 1 if exercising for 30&#x2005;min or more twice or more in a week for more than a year and 0 otherwise,</p></list-item>
<list-item>
<p><italic>Activity</italic> (dummy variable) is 1 if performing physical activities (walking or equivalent) for one hour or more daily and 0 otherwise,</p></list-item>
<list-item>
<p><italic>Speed</italic> (dummy variable) is 1 if walking faster than other people of a similar age and the same gender and 0 otherwise, and</p></list-item>
<list-item>
<p><italic>Sleep</italic> (dummy variable) is 1 if sleeping well and 0 otherwise.</p></list-item>
</list>In addition to these variables, the following dummy variables representing medication use were used to evaluate the side effects of medications.
<list list-type="simple">
<list-item>
<p><italic>M_BP</italic> (dummy variable) is 1 if taking antihypertensive medications to control BP only (not taking other types of medications) and 0 otherwise,</p></list-item>
<list-item>
<p><italic>M_Glucose</italic> (dummy variable) is 1 if taking antihyperglycemic medications to control glucose (including insulin injections) only and 0 otherwise,</p></list-item>
<list-item>
<p><italic>M_Cholestrol</italic> (dummy variable) is 1 if taking cholesterol medications to control cholesterol (including triglycerides) only and 0 otherwise,</p></list-item>
<list-item>
<p><italic>M_ BP &#x0026; GL</italic> (dummy variable) is 1 if taking two types of medications (antihypertensive and antihyperglycemic medications) and 0 otherwise,</p></list-item>
<list-item>
<p><italic>M_ BP &#x0026; CH</italic> (dummy variable) is 1 if taking two types of medications (antihypertensive and cholesterol medications) and 0 otherwise,</p></list-item>
<list-item>
<p><italic>M_ GL &#x0026; CH</italic> (dummy variable) is 1 if taking two types of medications (antihyperglycemic and medications) and 0 otherwise, and</p></list-item>
<list-item>
<p><italic>M_ BP &#x0026; GL &#x0026; CH</italic> (dummy variable) is 1 if taking three types of medications (antihypertensive, antihyperglycemic, and cholesterol medications) and 0 otherwise.</p></list-item>
</list>The estimation is done by the following steps. First, observations with <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM14"><mml:msub><mml:mi>y</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mn>0</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM15"><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mn>0</mml:mn><mml:mspace width="thinmathspace" /><mml:mrow><mml:mi mathvariant="normal">or</mml:mi></mml:mrow><mml:mspace width="thinmathspace" /><mml:mn>1</mml:mn><mml:mspace width="thickmathspace" /></mml:math></inline-formula> are selected where <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM16"><mml:msub><mml:mi>y</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:math></inline-formula> is a variable representing a disease history. Then the observations with missing values of covariates are excluded. 2,837,334 (0:99.452&#x0025;; 1:0.558&#x0025;), 2,864,874 (0:99.771&#x0025;; 1:0.299&#x0025;) and 2,870,262 (0:99.876&#x0025;; 1:0.120&#x0025;) observations satisfy these criteria for Models A, B and C, respectively. The logit models are estimated using these observations. The design of the study is summarized in <xref ref-type="fig" rid="F1">Figure&#x00A0;1</xref>. The summary of the covariates of 2,795,932 observations used in all models is given in <xref ref-type="table" rid="T2">Table&#x00A0;2</xref>. <xref ref-type="table" rid="T7">Table 7</xref> in Appendix B is the list of abbreviations used in the study.</p>
<fig id="F1" position="float"><label>Figure 1</label>
<caption><p>Flow chart of the study. NA, not available.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="fcvm-10-1103250-g001.tif"/>
</fig>
<table-wrap id="T2" position="float"><label>Table 2</label>
<caption><p>Summary of covariates.</p></caption>
<table frame="hsides" rules="groups">
<colgroup>
<col align="left"/>
<col align="center"/>
<col align="center"/>
<col align="left"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th valign="top" align="left">Variable</th>
<th valign="top" align="center">Average</th>
<th valign="top" align="center">SD</th>
<th valign="top" align="center">Variable</th>
<th valign="top" align="center"/>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>Age</italic></td>
<td valign="top" align="center">47.65</td>
<td valign="top" align="center">9.48</td>
<td valign="top" align="left"><italic>Eeat_Fast</italic></td>
<td valign="top" align="center">1:32.5&#x0025;; 0:67.5&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Female</italic></td>
<td valign="top" align="center">0.38</td>
<td valign="top" align="center">0.04</td>
<td valign="top" align="left"><italic>Late_Super</italic></td>
<td valign="top" align="center">1:32.3&#x0025;; 0:67.7&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Family</italic></td>
<td valign="top" align="center">0.22</td>
<td valign="top" align="center">0.05</td>
<td valign="top" align="left"><italic>No_Breakfast</italic></td>
<td valign="top" align="center">1:17.9&#x0025;; 0:82.1&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>t1</italic></td>
<td valign="top" align="center">11.01</td>
<td valign="top" align="center">2.05</td>
<td valign="top" align="left"><italic>Exercise</italic></td>
<td valign="top" align="center">1:21.5&#x0025;; 0:78.5&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>BMI</italic></td>
<td valign="top" align="center">22.95</td>
<td valign="top" align="center">3.64</td>
<td valign="top" align="left"><italic>Activity</italic></td>
<td valign="top" align="center">1:34.9&#x0025;; 0:65.1&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>SBP</italic></td>
<td valign="top" align="center">119.82</td>
<td valign="top" align="center">16.21</td>
<td valign="top" align="left"><italic>Speed</italic></td>
<td valign="top" align="center">1:45.1&#x0025;; 0:54.9&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>DBP</italic></td>
<td valign="top" align="center">74.40</td>
<td valign="top" align="center">11.81</td>
<td valign="top" align="left"><italic>Weight_1</italic></td>
<td valign="top" align="center">1:26.0&#x0025;; 0:74.0&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>B_Sugar</italic></td>
<td valign="top" align="center">95.42</td>
<td valign="top" align="center">18.13</td>
<td valign="top" align="left"><italic>Weight_20</italic></td>
<td valign="top" align="center">1:35.1&#x0025;; 0:64.9&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>HbA1C</italic></td>
<td valign="top" align="center">5.54</td>
<td valign="top" align="center">0.60</td>
<td valign="top" align="left"><italic>Sleep</italic></td>
<td valign="top" align="center">1:59.0&#x0025;; 0:41.0&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>HDL</italic></td>
<td valign="top" align="center">63.48</td>
<td valign="top" align="center">16.80</td>
<td valign="top" align="left"><italic>M_BP</italic></td>
<td valign="top" align="center">1:6.94&#x0025;; 0:93.06&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>LDL</italic></td>
<td valign="top" align="center">121.92</td>
<td valign="top" align="center">30.84</td>
<td valign="top" align="left"><italic>M_Glucose</italic></td>
<td valign="top" align="center">1:1.12&#x0025;; 0:98.88&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Triglyceride</italic></td>
<td valign="top" align="center">108.14</td>
<td valign="top" align="center">85.86</td>
<td valign="top" align="left"><italic>M_Cholestrol</italic></td>
<td valign="top" align="center">1:3.59&#x0025;; 0:96.41</td>
</tr>
<tr>
<td valign="top" align="left"><italic>ALT</italic></td>
<td valign="top" align="center">23.22</td>
<td valign="top" align="center">17.71</td>
<td valign="top" align="left"><italic>M_BP&#x0026;GL</italic></td>
<td valign="top" align="center">1:0.77&#x0025;; 0:99.23&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>AST</italic></td>
<td valign="top" align="center">22.27</td>
<td valign="top" align="center">10.53</td>
<td valign="top" align="left"><italic>M_BP&#x0026;CH</italic></td>
<td valign="top" align="center">1:2.46&#x0025;; 0:97.54&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>GGP</italic></td>
<td valign="top" align="center">38.08</td>
<td valign="top" align="center">45.04</td>
<td valign="top" align="left"><italic>M_Gl&#x0026;Ch</italic></td>
<td valign="top" align="center">0:0.55&#x0025;; 99.45&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>U_Sugar</italic></td>
<td valign="top" align="center" colspan="2">1:97.88&#x0025;; 2:0.45&#x0025;; 3:0.52&#x0025;; 4:0.38&#x0025;; 5:0.76&#x0025;</td>
<td valign="top" align="left"><italic>M_BP&#x0026;GL&#x0026;CH</italic></td>
<td valign="top" align="center">0:0.70&#x0025;; 1:99.30&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>U_Protein</italic></td>
<td valign="top" align="center" colspan="2">1:89.63&#x0025;; 2:7.62&#x0025;; 3:2.23&#x0025;; 4:0.51&#x0025;; 5:0.12&#x0025;</td>
<td valign="top" align="left"><italic>HD<sub>t</sub></italic></td>
<td valign="top" align="center">1: 0.64&#x0025;; 0:99.36&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Smoke</italic></td>
<td valign="top" align="center" colspan="2">1:25.7&#x0025;; 0:74.3&#x0025;</td>
<td valign="top" align="left"><italic>CBD<sub>t</sub></italic></td>
<td valign="top" align="center">1:0.29&#x0025;; 0:99.7&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Drink_Freq</italic></td>
<td valign="top" align="center" colspan="2">1:40.69&#x0025;; 1:34.06&#x0025;; 2:25.25&#x0025;</td>
<td valign="top" align="left"><italic>KD<sub>t</sub></italic></td>
<td valign="top" align="center">1:0.08&#x0025;; 0:99.92&#x0025;</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Drink_Amount</italic></td>
<td valign="top" align="center" colspan="2">0:40.69&#x0025;; 1:22.14&#x0025;; 2:22.78&#x0025;; 3:10.62&#x0025;; 4:3.77&#x0025;</td>
<td valign="top" align="left">No. of observation</td>
<td valign="top" align="center">2,795,932</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="table-fn2"><p>SD, standard deviation.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s3"><label>3.</label><title>Results of estimation</title>
<p>The estimation results of Model A (HD model) are presented in <xref ref-type="table" rid="T3">Table&#x00A0;3</xref>. The gross percentage of HD patients in the following year was 0.55&#x0025; among individuals without HD history. The estimate of <italic>Age</italic> was positive, and its <italic>t</italic>-value was quite large and significant at any reasonable significance level. The estimates for <italic>Female, Family</italic>, and <italic>t1</italic> were negative and significant at the 1&#x0025; level. The estimates for <italic>HbA1c, AST, U_Protein</italic>, and <italic>Weight_1</italic> were positive and significant at the 1&#x0025; level. The estimates of <italic>HDL, LDL, ALT,</italic> and <italic>Sleep</italic> were negative and significant at the 1&#x0025; level. The estimates of <italic>CBD<sub>t</sub></italic> and <italic>KD<sub>t</sub></italic> were positive and significant at any reasonable level. The estimates of all dummy variables that represent medication use were positive, and their t-values were quite large and significant at any reasonable significance level. In particular, when antihypertensive medications were included, the estimated values were 0.657, 0.595, 0.793, and 0.784 for <italic>M_BP</italic>, <italic>M_BP&#x0026;GL, M_BP&#x0026;CH</italic>, and <italic>M_BP&#x0026;GL&#x0026;CH</italic>, respectively. These values were much larger than those obtained without antihypertensive medications.</p>
<table-wrap id="T3" position="float"><label>Table 3</label>
<caption><p>Results of estimation: model A (HD model).</p></caption>
<table frame="hsides" rules="groups">
<colgroup>
<col align="left"/>
<col align="center"/>
<col align="center"/>
<col align="left"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th valign="top" align="left">Variable</th>
<th valign="top" align="center">Estimate</th>
<th valign="top" align="center">SE</th>
<th valign="top" align="center">Variable</th>
<th valign="top" align="center">Estimate</th>
<th valign="top" align="center">SE</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>Constant</italic></td>
<td valign="top" align="center">&#x2212;7.21115</td>
<td valign="top" align="center">0.13026</td>
<td valign="top" align="left"><italic>Drink_Amount</italic></td>
<td valign="top" align="center">0.01947</td>
<td valign="top" align="center">0.01043</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Age</italic></td>
<td valign="top" align="center">0.03694</td>
<td valign="top" align="center">0.00106</td>
<td valign="top" align="left"><italic>Eat_Fast</italic></td>
<td valign="top" align="center">0.01469</td>
<td valign="top" align="center">0.01760</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Female</italic></td>
<td valign="top" align="center">&#x2212;0.27278</td>
<td valign="top" align="center">0.02796</td>
<td valign="top" align="left"><italic>Late_Super</italic></td>
<td valign="top" align="center">0.03265</td>
<td valign="top" align="center">0.01835</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Family</italic></td>
<td valign="top" align="center">&#x2212;0.09015</td>
<td valign="top" align="center">0.03156</td>
<td valign="top" align="left"><italic>No_Breakfast</italic></td>
<td valign="top" align="center">0.02964</td>
<td valign="top" align="center">0.02285</td>
</tr>
<tr>
<td valign="top" align="left"><italic>t1</italic></td>
<td valign="top" align="center">&#x2212;0.00073</td>
<td valign="top" align="center">0.00414</td>
<td valign="top" align="left"><italic>Exercise</italic></td>
<td valign="top" align="center">0.00139</td>
<td valign="top" align="center">0.02043</td>
</tr>
<tr>
<td valign="top" align="left"><italic>BMI</italic></td>
<td valign="top" align="center">0.00394</td>
<td valign="top" align="center">0.00303</td>
<td valign="top" align="left"><italic>Activity</italic></td>
<td valign="top" align="center">0.00866</td>
<td valign="top" align="center">0.01814</td>
</tr>
<tr>
<td valign="top" align="left"><italic>SBP</italic></td>
<td valign="top" align="center">&#x2212;0.00083</td>
<td valign="top" align="center">0.00082</td>
<td valign="top" align="left"><italic>Speed</italic></td>
<td valign="top" align="center">&#x2212;0.01543</td>
<td valign="top" align="center">0.01691</td>
</tr>
<tr>
<td valign="top" align="left"><italic>DBP</italic></td>
<td valign="top" align="center">0.00007</td>
<td valign="top" align="center">0.00116</td>
<td valign="top" align="left"><italic>Weight_1</italic></td>
<td valign="top" align="center">0.17872</td>
<td valign="top" align="center">0.01864</td>
</tr>
<tr>
<td valign="top" align="left"><italic>B_Sugar</italic></td>
<td valign="top" align="center">0.00026</td>
<td valign="top" align="center">0.00060</td>
<td valign="top" align="left"><italic>Weight_20</italic></td>
<td valign="top" align="center">0.03715</td>
<td valign="top" align="center">0.02014</td>
</tr>
<tr>
<td valign="top" align="left"><italic>HbA1C</italic></td>
<td valign="top" align="center">0.07146</td>
<td valign="top" align="center">0.01901</td>
<td valign="top" align="left"><italic>Sleep</italic></td>
<td valign="top" align="center">&#x2212;0.12984</td>
<td valign="top" align="center">0.01670</td>
</tr>
<tr>
<td valign="top" align="left"><italic>HDL</italic></td>
<td valign="top" align="center">&#x2212;0.00360</td>
<td valign="top" align="center">0.00063</td>
<td valign="top" align="left"><italic>M_BP</italic></td>
<td valign="top" align="center">0.65683</td>
<td valign="top" align="center">0.02505</td>
</tr>
<tr>
<td valign="top" align="left"><italic>LDL</italic></td>
<td valign="top" align="center">&#x2212;0.00125</td>
<td valign="top" align="center">0.00028</td>
<td valign="top" align="left"><italic>M_Glucose</italic></td>
<td valign="top" align="center">0.23162</td>
<td valign="top" align="center">0.06673</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Triglyceride</italic></td>
<td valign="top" align="center">&#x2212;0.00010</td>
<td valign="top" align="center">0.00010</td>
<td valign="top" align="left"><italic>M_Cholesterol</italic></td>
<td valign="top" align="center">0.34615</td>
<td valign="top" align="center">0.03741</td>
</tr>
<tr>
<td valign="top" align="left"><italic>ALT</italic></td>
<td valign="top" align="center">&#x2212;0.00293</td>
<td valign="top" align="center">0.00078</td>
<td valign="top" align="left"><italic>M_BP&#x0026;GL</italic></td>
<td valign="top" align="center">0.59542</td>
<td valign="top" align="center">0.06273</td>
</tr>
<tr>
<td valign="top" align="left"><italic>AST</italic></td>
<td valign="top" align="center">0.00306</td>
<td valign="top" align="center">0.00103</td>
<td valign="top" align="left"><italic>M_BP&#x0026;CH</italic></td>
<td valign="top" align="center">0.79275</td>
<td valign="top" align="center">0.03484</td>
</tr>
<tr>
<td valign="top" align="left"><italic>GGP</italic></td>
<td valign="top" align="center">0.00023</td>
<td valign="top" align="center">0.00019</td>
<td valign="top" align="left"><italic>M_Gl&#x0026;CH</italic></td>
<td valign="top" align="center">0.25487</td>
<td valign="top" align="center">0.08759</td>
</tr>
<tr>
<td valign="top" align="left"><italic>U_Sugar</italic></td>
<td valign="top" align="center">&#x2212;0.02111</td>
<td valign="top" align="center">0.01747</td>
<td valign="top" align="left"><italic>M_BP&#x0026;GL&#x0026;CH</italic></td>
<td valign="top" align="center">0.78428</td>
<td valign="top" align="center">0.06004</td>
</tr>
<tr>
<td valign="top" align="left"><italic>U_Protein</italic></td>
<td valign="top" align="center">0.09283</td>
<td valign="top" align="center">0.01441</td>
<td valign="top" align="left"><italic>CDB<sub>t</sub></italic></td>
<td valign="top" align="center">0.54084</td>
<td valign="top" align="center">0.05167</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Smoke</italic></td>
<td valign="top" align="center">&#x2212;0.02748</td>
<td valign="top" align="center">0.01956</td>
<td valign="top" align="left"><italic>KD<sub>t</sub></italic></td>
<td valign="top" align="center">0.53458</td>
<td valign="top" align="center">0.10516</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Drink_Freq</italic></td>
<td valign="top" align="center">&#x2212;0.02622</td>
<td valign="top" align="center">0.015537</td>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">Log likelihood</td>
<td valign="top" align="center" colspan="2">&#x2212;96,464.1</td>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left" colspan="3">No. of observations, 0:28,21,785; 1:15,549; total:28,37,334</td>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="table-fn3"><p>SE, standard error.</p></fn>
</table-wrap-foot>
</table-wrap>
<p><xref ref-type="table" rid="T4">Table&#x00A0;4</xref> shows the results of the estimation of Model B (CBD model). The gross percentage of those with CBD in the following year was 0.23&#x0025;. The estimate of <italic>Age</italic> was positive, and its <italic>t</italic>-value was quite large and significant at any reasonable significance level. The estimates for <italic>DBP, GGP, U_Protein</italic>, and <italic>Weight_1</italic> were positive and significant at the 1&#x0025; level. In contrast, the estimates of <italic>Speed</italic> and <italic>Sleep</italic> were negative and significant at the 1&#x0025; level and that of <italic>LDL</italic> was significant at the 5&#x0025; level. The estimates of <italic>HD<sub>t</sub></italic> and <italic>KD<sub>t</sub></italic> were positive and significant at any reasonable level. The estimates of all dummy variables that represent medication use were positive, and their <italic>t</italic>-values were quite large and significant at any reasonable significance level. In particular, when antihypertensive medications were used, the estimated values were much higher than those without antihypertensive medications.</p>
<table-wrap id="T4" position="float"><label>Table 4</label>
<caption><p>Results of estimation: model B (CBD model).</p></caption>
<table frame="hsides" rules="groups">
<colgroup>
<col align="left"/>
<col align="center"/>
<col align="center"/>
<col align="left"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th valign="top" align="left">Variable</th>
<th valign="top" align="center">Estimate</th>
<th valign="top" align="center">SE</th>
<th valign="top" align="center">Variable</th>
<th valign="top" align="center">Estimate</th>
<th valign="top" align="center">SE</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Constant</td>
<td valign="top" align="center">&#x2212;8.67888</td>
<td valign="top" align="center">0.20214</td>
<td valign="top" align="left"><italic>Drink_Amount</italic></td>
<td valign="top" align="center">&#x2212;0.01498</td>
<td valign="top" align="center">0.01655</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Age</italic></td>
<td valign="top" align="center">0.04091</td>
<td valign="top" align="center">0.00165</td>
<td valign="top" align="left"><italic>Eat_Fast</italic></td>
<td valign="top" align="center">&#x2212;0.01409</td>
<td valign="top" align="center">0.02728</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Female</italic></td>
<td valign="top" align="center">&#x2212;0.06045</td>
<td valign="top" align="center">0.04223</td>
<td valign="top" align="left"><italic>Late_Super</italic></td>
<td valign="top" align="center">0.05067</td>
<td valign="top" align="center">0.02847</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Family</italic></td>
<td valign="top" align="center">&#x2212;0.07564</td>
<td valign="top" align="center">0.04677</td>
<td valign="top" align="left"><italic>No_Breakfast</italic></td>
<td valign="top" align="center">0.06453</td>
<td valign="top" align="center">0.03529</td>
</tr>
<tr>
<td valign="top" align="left"><italic>t1</italic></td>
<td valign="top" align="center">0.00191</td>
<td valign="top" align="center">0.00640</td>
<td valign="top" align="left"><italic>Exercise</italic></td>
<td valign="top" align="center">0.00229</td>
<td valign="top" align="center">0.03153</td>
</tr>
<tr>
<td valign="top" align="left"><italic>BMI</italic></td>
<td valign="top" align="center">&#x2212;0.00850</td>
<td valign="top" align="center">0.00467</td>
<td valign="top" align="left"><italic>Activity</italic></td>
<td valign="top" align="center">&#x2212;0.00531</td>
<td valign="top" align="center">0.02803</td>
</tr>
<tr>
<td valign="top" align="left"><italic>SBP</italic></td>
<td valign="top" align="center">0.00153</td>
<td valign="top" align="center">0.00123</td>
<td valign="top" align="left"><italic>Speed</italic></td>
<td valign="top" align="center">&#x2212;0.07967</td>
<td valign="top" align="center">0.02613</td>
</tr>
<tr>
<td valign="top" align="left"><italic>DBP</italic></td>
<td valign="top" align="center">0.00754</td>
<td valign="top" align="center">0.00176</td>
<td valign="top" align="left"><italic>Weight_1</italic></td>
<td valign="top" align="center">0.21776</td>
<td valign="top" align="center">0.02856</td>
</tr>
<tr>
<td valign="top" align="left"><italic>B_Sugar</italic></td>
<td valign="top" align="center">&#x2212;0.00009</td>
<td valign="top" align="center">0.00091</td>
<td valign="top" align="left"><italic>Weight_20</italic></td>
<td valign="top" align="center">0.05532</td>
<td valign="top" align="center">0.03104</td>
</tr>
<tr>
<td valign="top" align="left"><italic>HbA1C</italic></td>
<td valign="top" align="center">0.01128</td>
<td valign="top" align="center">0.02943</td>
<td valign="top" align="left"><italic>Sleep</italic></td>
<td valign="top" align="center">&#x2212;0.11694</td>
<td valign="top" align="center">0.02574</td>
</tr>
<tr>
<td valign="top" align="left"><italic>HDL</italic></td>
<td valign="top" align="center">&#x2212;0.00417</td>
<td valign="top" align="center">0.00097</td>
<td valign="top" align="left"><italic>M_BP</italic></td>
<td valign="top" align="center">0.63846</td>
<td valign="top" align="center">0.03817</td>
</tr>
<tr>
<td valign="top" align="left"><italic>LDL</italic></td>
<td valign="top" align="center">&#x2212;0.00089</td>
<td valign="top" align="center">0.00043</td>
<td valign="top" align="left"><italic>M_Glucose</italic></td>
<td valign="top" align="center">0.38296</td>
<td valign="top" align="center">0.10121</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Triglyceride</italic></td>
<td valign="top" align="center">&#x2212;0.00003</td>
<td valign="top" align="center">0.00015</td>
<td valign="top" align="left"><italic>M_Cholesterol</italic></td>
<td valign="top" align="center">0.50811</td>
<td valign="top" align="center">0.05367</td>
</tr>
<tr>
<td valign="top" align="left"><italic>ALT</italic></td>
<td valign="top" align="center">&#x2212;0.00243</td>
<td valign="top" align="center">0.00128</td>
<td valign="top" align="left"><italic>M_BP&#x0026;GL</italic></td>
<td valign="top" align="center">0.76571</td>
<td valign="top" align="center">0.09117</td>
</tr>
<tr>
<td valign="top" align="left"><italic>AST</italic></td>
<td valign="top" align="center">0.00037</td>
<td valign="top" align="center">0.00188</td>
<td valign="top" align="left"><italic>M_BP&#x0026;CH</italic></td>
<td valign="top" align="center">0.79048</td>
<td valign="top" align="center">0.05148</td>
</tr>
<tr>
<td valign="top" align="left"><italic>GGP</italic></td>
<td valign="top" align="center">0.00091</td>
<td valign="top" align="center">0.00027</td>
<td valign="top" align="left"><italic>M_GL&#x0026;CH</italic></td>
<td valign="top" align="center">0.48364</td>
<td valign="top" align="center">0.12565</td>
</tr>
<tr>
<td valign="top" align="left"><italic>U_Sugar</italic></td>
<td valign="top" align="center">0.01009</td>
<td valign="top" align="center">0.02549</td>
<td valign="top" align="left"><italic>M_BP&#x0026;GL&#x0026;CH</italic></td>
<td valign="top" align="center">0.77506</td>
<td valign="top" align="center">0.08914</td>
</tr>
<tr>
<td valign="top" align="left"><italic>U_Protein</italic></td>
<td valign="top" align="center">0.12026</td>
<td valign="top" align="center">0.02103</td>
<td valign="top" align="left"><italic>HD<sub>t</sub></italic></td>
<td valign="top" align="center">0.76338</td>
<td valign="top" align="center">0.05129</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Smoke</italic></td>
<td valign="top" align="center">&#x2212;0.01538</td>
<td valign="top" align="center">0.03050</td>
<td valign="top" align="left"><italic>KD<sub>t</sub></italic></td>
<td valign="top" align="center">0.77583</td>
<td valign="top" align="center">0.13258</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Drink_Freq</italic></td>
<td valign="top" align="center">&#x2212;0.00789</td>
<td valign="top" align="center">0.024118</td>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">Log likelihood</td>
<td valign="top" align="center" colspan="2">&#x2212;44,642.38</td>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left" colspan="3">No. of observations, 0:28,58,341; 1:6,533; total:28,64,874</td>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="table-fn4"><p>SE, standard error.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>The estimated results for Model C (KD model) are listed in <xref ref-type="table" rid="T5">Table&#x00A0;5</xref>. The percentage of patients with KD in the following year was 0.12&#x0025;. Again, the estimate of <italic>Age</italic> was positive and its <italic>t</italic>-value was quite large and significant at any reasonable significance level. The estimate of <italic>t1</italic> was positive and significant at the 1&#x0025; level, while that of <italic>Female</italic> was negative and significant at the 5&#x0025; level. The estimates of <italic>U_Protein</italic> and <italic>Weight_1</italic> were positive and significant at the 1&#x0025; level, and those of <italic>U_Sugar</italic> and <italic>Late_Supper</italic> were significant at the 5&#x0025; level. The estimates of <italic>BMI, HbA1c, ALT, Smoke, Drink_Freq</italic>, and <italic>Activity</italic> were negative and significant at the 1&#x0025; level. The estimates of <italic>HD<sub>t</sub></italic> and <italic>CBD<sub>t</sub></italic> were positive and significant at any reasonable significance level. As in the previous two models, the estimates of all dummy variables that represent medication use were positive and significant at any reasonable significance level. Especially, for the variables with antihypertensive medications, the estimates of <italic>M_BP</italic>, <italic>M_BP&#x0026;GL</italic>, <italic>M_BP&#x0026;CH</italic>, and <italic>M_BP&#x0026;GL&#x0026;CH</italic> were 1.01, 1.17, 1.30, and 1.27, respectively. These estimates were almost twice as large as those obtained without antihypertensive medications.</p>
<table-wrap id="T5" position="float"><label>Table 5</label>
<caption><p>Results of estimation: model C (KD model).</p></caption>
<table frame="hsides" rules="groups">
<colgroup>
<col align="left"/>
<col align="center"/>
<col align="center"/>
<col align="left"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th valign="top" align="left">Variable</th>
<th valign="top" align="center">Estimate</th>
<th valign="top" align="center">SE</th>
<th valign="top" align="center">Variable</th>
<th valign="top" align="center">Estimate</th>
<th valign="top" align="center">SE</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Constant</td>
<td valign="top" align="center">&#x2212;7.09070</td>
<td valign="top" align="center">0.28123</td>
<td valign="top" align="left"><italic>Drink_Amount</italic></td>
<td valign="top" align="center">&#x2212;0.03316</td>
<td valign="top" align="center">0.02348</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Age</italic></td>
<td valign="top" align="center">0.01446</td>
<td valign="top" align="center">0.00221</td>
<td valign="top" align="left"><italic>Eeat_Fast</italic></td>
<td valign="top" align="center">0.05439</td>
<td valign="top" align="center">0.03726</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Female</italic></td>
<td valign="top" align="center">&#x2212;0.12230</td>
<td valign="top" align="center">0.05595</td>
<td valign="top" align="left"><italic>Late_Super</italic></td>
<td valign="top" align="center">0.07855</td>
<td valign="top" align="center">0.03895</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Family</italic></td>
<td valign="top" align="center">&#x2212;0.07391</td>
<td valign="top" align="center">0.06166</td>
<td valign="top" align="left"><italic>No_Breakfast</italic></td>
<td valign="top" align="center">&#x2212;0.02130</td>
<td valign="top" align="center">0.04847</td>
</tr>
<tr>
<td valign="top" align="left"><italic>t1</italic></td>
<td valign="top" align="center">0.07559</td>
<td valign="top" align="center">0.00933</td>
<td valign="top" align="left"><italic>Exercise</italic></td>
<td valign="top" align="center">0.04383</td>
<td valign="top" align="center">0.04408</td>
</tr>
<tr>
<td valign="top" align="left"><italic>BMI</italic></td>
<td valign="top" align="center">&#x2212;0.02806</td>
<td valign="top" align="center">0.00637</td>
<td valign="top" align="left"><italic>Activity</italic></td>
<td valign="top" align="center">&#x2212;0.12714</td>
<td valign="top" align="center">0.03911</td>
</tr>
<tr>
<td valign="top" align="left"><italic>SBP</italic></td>
<td valign="top" align="center">&#x2212;0.00323</td>
<td valign="top" align="center">0.00171</td>
<td valign="top" align="left"><italic>Speed</italic></td>
<td valign="top" align="center">&#x2212;0.06937</td>
<td valign="top" align="center">0.03615</td>
</tr>
<tr>
<td valign="top" align="left"><italic>DBP</italic></td>
<td valign="top" align="center">0.00366</td>
<td valign="top" align="center">0.00241</td>
<td valign="top" align="left"><italic>Weight_1</italic></td>
<td valign="top" align="center">0.18840</td>
<td valign="top" align="center">0.03912</td>
</tr>
<tr>
<td valign="top" align="left"><italic>B_Sugar</italic></td>
<td valign="top" align="center">&#x2212;0.00240</td>
<td valign="top" align="center">0.00128</td>
<td valign="top" align="left"><italic>Weight_20</italic></td>
<td valign="top" align="center">&#x2212;0.01114</td>
<td valign="top" align="center">0.04348</td>
</tr>
<tr>
<td valign="top" align="left"><italic>HbA1C</italic></td>
<td valign="top" align="center">&#x2212;0.20325</td>
<td valign="top" align="center">0.04227</td>
<td valign="top" align="left"><italic>Sleep</italic></td>
<td valign="top" align="center">&#x2212;0.04469</td>
<td valign="top" align="center">0.03538</td>
</tr>
<tr>
<td valign="top" align="left"><italic>HDL</italic></td>
<td valign="top" align="center">&#x2212;0.00223</td>
<td valign="top" align="center">0.00132</td>
<td valign="top" align="left"><italic>M_BP</italic></td>
<td valign="top" align="center">1.01100</td>
<td valign="top" align="center">0.05304</td>
</tr>
<tr>
<td valign="top" align="left"><italic>LDL</italic></td>
<td valign="top" align="center">&#x2212;0.00054</td>
<td valign="top" align="center">0.00059</td>
<td valign="top" align="left"><italic>M_Glucose</italic></td>
<td valign="top" align="center">0.56749</td>
<td valign="top" align="center">0.15760</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Triglyceride</italic></td>
<td valign="top" align="center">0.00097</td>
<td valign="top" align="center">0.00017</td>
<td valign="top" align="left"><italic>M_Cholesterol</italic></td>
<td valign="top" align="center">0.47914</td>
<td valign="top" align="center">0.08520</td>
</tr>
<tr>
<td valign="top" align="left"><italic>ALT</italic></td>
<td valign="top" align="center">&#x2212;0.00769</td>
<td valign="top" align="center">0.00192</td>
<td valign="top" align="left"><italic>M_BP&#x0026;GL</italic></td>
<td valign="top" align="center">1.17028</td>
<td valign="top" align="center">0.12414</td>
</tr>
<tr>
<td valign="top" align="left"><italic>AST</italic></td>
<td valign="top" align="center">0.00249</td>
<td valign="top" align="center">0.00271</td>
<td valign="top" align="left"><italic>M_BP&#x0026;CH</italic></td>
<td valign="top" align="center">1.30465</td>
<td valign="top" align="center">0.06793</td>
</tr>
<tr>
<td valign="top" align="left"><italic>GGP</italic></td>
<td valign="top" align="center">&#x2212;0.00111</td>
<td valign="top" align="center">0.00048</td>
<td valign="top" align="left"><italic>M_Gl&#x0026;CH</italic></td>
<td valign="top" align="center">0.65557</td>
<td valign="top" align="center">0.20017</td>
</tr>
<tr>
<td valign="top" align="left"><italic>U_Sugar</italic></td>
<td valign="top" align="center">0.07924</td>
<td valign="top" align="center">0.03394</td>
<td valign="top" align="left"><italic>M_BP&#x0026;GL&#x0026;CH</italic></td>
<td valign="top" align="center">1.27707</td>
<td valign="top" align="center">0.11667</td>
</tr>
<tr>
<td valign="top" align="left"><italic>U_Protein</italic></td>
<td valign="top" align="center">0.80420</td>
<td valign="top" align="center">0.01704</td>
<td valign="top" align="left"><italic>HD<sub>t</sub></italic></td>
<td valign="top" align="center">0.45206</td>
<td valign="top" align="center">0.07604</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Smoke</italic></td>
<td valign="top" align="center">&#x2212;0.15869</td>
<td valign="top" align="center">0.04313</td>
<td valign="top" align="left"><italic>CBD<sub>t</sub></italic></td>
<td valign="top" align="center">0.45799</td>
<td valign="top" align="center">0.10089</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Drink_Freq_F1</italic></td>
<td valign="top" align="center">&#x2212;0.11585</td>
<td valign="top" align="center">0.034854</td>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">Log likelihood</td>
<td valign="top" align="center" colspan="2">&#x2212;25,006.4</td>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left" colspan="3">No. of observations, 0:28,66,809; 1:3,453; total:28,70,262</td>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="table-fn5"><p>SE, standard error.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4" sec-type="discussion"><label>4.</label><title>Discussion</title>
<p><xref ref-type="table" rid="T6">Table&#x00A0;6</xref> summarizes the significant covariates other than disease histories and variables that represent taking medications in Models A (HD model), B (CBD model), and C (KD model). As expected, <italic>Age</italic> is a very important variable affecting these diseases. As shown in <xref ref-type="fig" rid="F2">Figure&#x00A0;2</xref>, the odds ratios (ORs) comparing individuals aged 50&#x2013;70 years were 2.09 with a 95&#x0025; confidence interval (CI) of 2.01&#x2013;2.18 for HD, 2.27 with a 95&#x0025; CI of 2.12&#x2013;2.41 for CBD, and 1.34 with a 95&#x0025; CI of 1.22&#x2013;1.45 for KD. Although Nawata (<xref ref-type="bibr" rid="B23">23</xref>) evaluated the risk factors for HD, the ORs and CIs were not evaluated. Since the probabilities of having these diseases in the next year are small, OR and CI are approximately equal to the probability ratio (PR) and its CI (<xref ref-type="bibr" rid="B57">57</xref>). The risk of HD and CBD in individuals aged 70 years is more than twice as large as those of individuals aged 50 years. The increase in risk was relatively small for KD. Female is significant at the 1&#x0025; level in Model A but not significant at the 5&#x0025; level in other models.</p>
<fig id="F2" position="float"><label>Figure 2</label>
<caption><p>Odds ratios and 95&#x0025; confidence intervals of <italic>Age</italic> (Age 50 vs. Age 70) in three models.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="fcvm-10-1103250-g002.tif"/>
</fig>
<table-wrap id="T6" position="float"><label>Table 6</label>
<caption><p>Significant variables and the signs of estimates in three models.</p></caption>
<table frame="hsides" rules="groups">
<colgroup>
<col align="left"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th valign="top" align="left" rowspan="2"/>
<th valign="top" align="center" colspan="2">Model A (HD model)</th>
<th valign="top" align="center" colspan="2">Model B (CBD model)</th>
<th valign="top" align="center" colspan="2">Model C (KD model)</th>
</tr>
<tr>
<th valign="top" align="center">Positive</th>
<th valign="top" align="center">Negative</th>
<th valign="top" align="center">Positive</th>
<th valign="top" align="center">Negative</th>
<th valign="top" align="center">Positive</th>
<th valign="top" align="center">Negative</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>Age</italic></td>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left"><italic>Female</italic></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left"><italic>Family</italic></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn6">&#x002A;&#x002A;</xref></td>
</tr>
<tr>
<td valign="top" align="left"><italic>t1</italic></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left"><italic>BMI</italic></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left"><italic>HbA1c</italic></td>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
</tr>
<tr>
<td valign="top" align="left"><italic>HDL</italic></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left"><italic>LDL</italic></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn6">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left"><italic>ALT</italic></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
</tr>
<tr>
<td valign="top" align="left"><italic>AST</italic></td>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left"><italic>GGP</italic></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn6">&#x002A;&#x002A;</xref></td>
</tr>
<tr>
<td valign="top" align="left"><italic>U_Protein</italic></td>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left"><italic>U_Sugar</italic></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn6">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left"><italic>Late_Supper</italic></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left"><italic>Activity</italic></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
</tr>
<tr>
<td valign="top" align="left"><italic>Weight_1</italic></td>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left"><italic>Sleep</italic></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"><xref ref-type="table-fn" rid="table-fn7">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="table-fn6"><label>&#x002A;</label>
<p>Significant at the 5&#x0025; level.</p></fn>
<fn id="table-fn7"><label>&#x002A;&#x002A;</label>
<p>Significant at the 1&#x0025; level.</p></fn>
</table-wrap-foot>
</table-wrap>
<p><italic>Weight_1</italic> (recent weight change) and <italic>U_Protein</italic> (urine protein level) were significant at the 1&#x0025; level in all models and were considered important variables. <xref ref-type="fig" rid="F3">Figure&#x00A0;3</xref> shows the ORs and 95&#x0025; CIs of these variables for the models. For the dummy variable, the OR was calculated by comparing 0 and 1. For <italic>U_Protein</italic>, the majority of the values were 1 or 2, so the OR was calculated by comparing <italic>U_Protein</italic>&#x2009;&#x003D;&#x2009;1 and 2. For HD, the ORs of <italic>U_Protein</italic> and <italic>Weight_1</italic> (95&#x0025; CI) were 1.10 (1.0&#x2013;1.13) and 1.20 (1.15&#x2013;1.24.) For CBD, the ORs were1.13 (1.08&#x2013;1.17) and 1.24 (1.17&#x2013;1.31). For KD, the ORs were 2.23 (2.20&#x2013;2.31) and 1.21 (1.11&#x2013;1.30). <italic>Weight_1</italic> increased the risk by approximately 20&#x0025; for all diseases. <italic>U_Protein</italic> increased the risk by about 10&#x0025; for HD and CD; however, it doubled the risk for KD. <italic>U_Protein</italic> is a risk factor with obvious mechanisms assumed (<xref ref-type="bibr" rid="B58">58</xref>) and people with high urine protein levels should recognize this fact, and special attention is necessary.</p>
<fig id="F3" position="float"><label>Figure 3</label>
<caption><p>Odds ratios and 95&#x0025; confidence intervals of <italic>U_Protein</italic> and <italic>Weight_1</italic> in three models.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="fcvm-10-1103250-g003.tif"/>
</fig>
<p>Another interesting finding is that among BP levels (<italic>SBP</italic> and <italic>DBP</italic>), only <italic>DBP</italic> in the CBD model was significant, and the estimates were not significant in the other models. This may raise questions regarding the 2017ACC/AHA guideline, which lowered the hypertensive criterion.</p>
<p><xref ref-type="fig" rid="F4">Figure&#x00A0;4</xref> shows the ORs and 95&#x0025; CIs for the variables of a history of other diseases. In the HD model, the ORs were 1.72 (1.54&#x2013;1.89) and 1.71 (1.35&#x2013;2.06) for <italic>CBD<sub>t</sub></italic> and <italic>KD<sub>t</sub></italic>. In the CBD model, the ORs were 2.15 (1.93&#x2013;2.36) and 2.17 (1.61&#x2013;2.74) for <italic>HD<sub>t</sub></italic> and <italic>KD<sub>t</sub></italic>. In the KD model, the ORs were 1.57 (1.34&#x2013;1.81) and 1.58 (1.27&#x2013;1.89) for <italic>HD<sub>t</sub></italic> and <italic>CBD<sub>t</sub></italic>. The risk of having CBD for individuals with HD and KD histories was especially high, more than double of those without disease histories, and special care is necessary for them (<xref ref-type="bibr" rid="B57">57</xref>).</p>
<fig id="F4" position="float"><label>Figure 4</label>
<caption><p>Odds ratios and 95&#x0025; confidence intervals of disease histories (<italic>HD<sub>t</sub>, CBD<sub>t</sub></italic> and <italic>KD<sub>t</sub></italic>) in three models.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="fcvm-10-1103250-g004.tif"/>
</fig>
<p>All medications (antihypertensive, antihyperglycemic, and cholesterol-lowering) increased the risk of all three diseases. <xref ref-type="fig" rid="F5">Figures&#x00A0;5</xref>&#x2013;<xref ref-type="fig" rid="F7">7</xref> show ORs and 95&#x0025; CIs, respectively. People often take two or three types of medications, and seven different variables are separately shown in the figures. These variables were divided into two groups. One group was treated with antihypertensive medications (i.e., M_BP, <italic>M_BP&#x0026;GL, M_BP&#x0026;CH,</italic> and <italic>M_BP&#x0026;GL&#x0026;CH</italic>), and the other was without antihypertensive medications (i.e., <italic>M_GL, M_CH</italic>, and <italic>M_GL&#x0026;CH</italic>). In the HD model, the ORs (95&#x0025; CI) were 1.93 (1.83&#x2013;2.02), 1.81 (1.59&#x2013;2.04), 2.21 (2.06&#x2013;2.36), and 2.19 (1.93&#x2013;2.45) for <italic>M_BP, M_BP&#x0026;GL, M_BP&#x0026;CH</italic>, and <italic>M_BP&#x0026;GL&#x0026;CH</italic>, respectively. In contrast, the ORs were 1.26 (1.10&#x2013;1.43), 1.41 (1.31&#x2013;1.52), and 1.29 (1.07&#x2013;1.51) for <italic>M_GL, M_CH,</italic> and <italic>M_GL&#x0026;CH</italic>. In the former group, the risks associated with antihypertensive medications were almost double compared with those without medications. In the latter group, the increments were much smaller, approximately 25&#x0025;&#x2013;40&#x0025;.</p>
<fig id="F5" position="float"><label>Figure 5</label>
<caption><p>Odds ratios and 95&#x0025; confidence intervals of medications in the HD model.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="fcvm-10-1103250-g005.tif"/>
</fig>
<fig id="F6" position="float"><label>Figure 6</label>
<caption><p>Odds ration and 95&#x0025; confidence interval of medications in the CBD model.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="fcvm-10-1103250-g006.tif"/>
</fig>
<fig id="F7" position="float"><label>Figure 7</label>
<caption><p>Odds ratios and 95&#x0025; confidence intervals of medications in the KD model.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="fcvm-10-1103250-g007.tif"/>
</fig>
<p>In the CBD model, the ORs (95&#x0025; CI) were 1.89 (1.75&#x2013;2.04), 2.15 (1.77&#x2013;2.53), 2.20 (1.98&#x2013;2.43), and 2.17 (1.79&#x2013;2.55) for <italic>M_BP, M_BP&#x0026;GL, M_BP&#x0026;CH,</italic> and <italic>M_BP&#x0026;GL&#x0026;CH</italic>, respectively. In contrast, the ORs were 1.47 (1.18&#x2013;1.86), 1.66 (1.49&#x2013;1.84), and 1.62 (1.22&#x2013;2.02) for <italic>M_GL, M_CH,</italic> and <italic>M_GL&#x0026;CH</italic>. In the former group, the risks associated with medications were almost double compared to those without medication, as in the case of heart disease. In the latter group, the increments were about 50&#x0025;&#x2013;65&#x0025;. The results of this study suggest that antihypertensive medications increase the risks of HD and CBD, and the statement of Muntner et al. (<xref ref-type="bibr" rid="B11">11</xref>) is not supported.</p>
<p>Concerning the KD model, the ORs (95&#x0025; CI) were 2.75 (2.46&#x2013;3.93), 3.22 (2.44&#x2013;4.01), 3.69 (3.20&#x2013;4.18), and 3.59 (2.77&#x2013;4.41) for <italic>M_BP, M_BP&#x0026;GL, M_BP&#x0026;CH,</italic> and <italic>M_BP&#x0026;GL&#x0026;CH,</italic> respectively. In contrast, the ORs were 1.76 (1.22&#x2013;2.31), 1.61 (1.35&#x2013;1.88), and 1.93 (1.17&#x2013;2.68) for <italic>M_GL, M_CH,</italic> and <italic>M_GL&#x0026;CH</italic>. In the KD mode1, although the CIs were larger, the increments in the risks seem much higher than those of the previous two diseases. The risks triple (or increase more) in the first group. The increments were about 60&#x0025;&#x2013;70&#x0025; in the second group. Especially in the first group, even the lower bounds of the 95&#x0025; CIs, the risks become 2.4&#x2013;3.2 times larger than those without medications. This may imply that the negative effects of antihypertensive medications are much more serious in patients with KD.</p>
<p>The interactions between medications are important issues when individuals use two or more different types of medications. In the models without antihypertensive medications, the 95&#x0025; CIs of <italic>M_GL</italic> and <italic>M_CH</italic> overlapped with the CI of <italic>M_GL&#x0026;CH</italic>, and no significant interaction effect was observed. However, when antihypertensive and cholesterol medications were used simultaneously (<italic>M_ BP &#x0026; CH</italic>), the risks were significantly higher (i.e., the 95&#x0025; CIs did not overlap) than those using only antihypertensive medications (<italic>M_BP</italic>) in the HD and KD models.</p>
<p>Not only are the values of estimates of antihypertensive medications much higher than those of the other medications but the use of antihypertensive medications is also higher than that of other medications (antihypertensive medications: 11.18&#x0025;, antihyperglycemic medications: 3.21&#x0025;, and cholesterol medications: 7.46&#x0025;). Here, we mainly discuss antihypertensive medications. For possible interpretations of the positive estimates, see Nawata (<xref ref-type="bibr" rid="B23">23</xref>).</p>
<p>Although there are some alternative therapies such as renal denervation (<xref ref-type="bibr" rid="B59">59</xref>), prescribing antihypertensive medications is a major therapy for hypertension. Over 200 drugs are available globally (<xref ref-type="bibr" rid="B60">60</xref>). Jackson and Bellamy (<xref ref-type="bibr" rid="B61">61</xref>) classified these medications into two group. One group is being those which directly or indirectly block the renin&#x2013;angiotensin system (RAS) and the other group works through non-RAS pathways. The first group includes angiotensin-converting enzyme inhibitors (ACEIs), angiotensin-converting enzyme inhibitors, angiotensin receptor antagonists and direct renin inhibitors. The second group consists of adrenoceptor antagonists (<inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM17"><mml:mi>&#x03B2;</mml:mi></mml:math></inline-formula>-blockers, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM18"><mml:mi>&#x03B1;</mml:mi></mml:math></inline-formula>-blockers), calcium channel blockers, diuretics (thiazides, loop, potassium sparing/aldosterone antagonist), vasodilators, centrally acting agents, and ganglion block.</p>
<p>Laurent (<xref ref-type="bibr" rid="B62">62</xref>) also classified the medications into <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM19"><mml:mi>&#x03B2;</mml:mi></mml:math></inline-formula>-blockers, diuretics, ACEIs, angiotensin II receptor blockers (ARBs), calcium-channel blockers, and other classes. Although the information of individual prescription records is not available, ACIs and ARAs are most widely used antihypertensive medications in Japan (<xref ref-type="bibr" rid="B63">63</xref>). RAS is a regulator of blood volume, electrolyte balance, and systemic vascular resistance. For summaries of RAS in the management of hypertension, see Fountain et al. (<xref ref-type="bibr" rid="B64">64</xref>) and Lange-Jacobs et al. (<xref ref-type="bibr" rid="B65">65</xref>). RAS is an extreme complex system in playing hypertension, and the understanding of RAS has expanded tremendously over the last few decades (<xref ref-type="bibr" rid="B65">65</xref>). Crifciler and Haznedarouglu (<xref ref-type="bibr" rid="B66">66</xref>) outlined intersections of circulating and local angiotensin systems in the vascular pathobiological microenvironment of central nervous system.</p>
<p>Since antihypertensive medications are widely used, their mechanisms of action, effectiveness, proper usage methods, and side effects have been widely studied (<xref ref-type="bibr" rid="B67">67</xref>&#x2013;<xref ref-type="bibr" rid="B76">76</xref>). Lithell (<xref ref-type="bibr" rid="B67">67</xref>) reported that &#x201C;both <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="IM20"><mml:mi>&#x03B2;</mml:mi></mml:math></inline-formula>-blockers and thiazide diuretics worsened insulin resistance and deteriorated lipoprotein metabolism. &#x2026;These data may explain the unexpectedly high incidence of diabetes among hypertensive patients and the poor effect on risk for coronary heart disease in intervention trials.&#x201D; Santos et al. (<xref ref-type="bibr" rid="B68">68</xref>) did systematic reviews to identify the possible pharmacogenetic implications for RAS-blocker medications in the hypertension-CKD scenario. They described that studies focusing on CKD were scarce. The CDC (<xref ref-type="bibr" rid="B77">77</xref>) and International Diabetes Foundation (<xref ref-type="bibr" rid="B78">78</xref>) described KD as a serious diabetes complication.</p>
<p>Marcum and Fried (<xref ref-type="bibr" rid="B79">79</xref>) mentioned that antihypertensive medications are frequently used in older adults with CKD, and the most common adverse drug events (ADEs) with antihypertensive use include acute kidney injury and antihypertensives, which may lead to medication errors and ADEs. Even in the Systolic Blood Pressure Intervention Trial (SPRINT) (<xref ref-type="bibr" rid="B16">16</xref>), which was heavily weighted in the 2017ACC/AHA guideline, it was admitted that &#x201C;Rates of serious adverse events of hypotension, syncope, electrolyte abnormalities, and acute kidney injury or failure, &#x2026;, were higher in the intensive-treatment group than in the standard-treatment group.&#x201D; They also reported the percentages of the serious adverse events in both groups. These findings are consistent with the results of the present study. Although Ptinopoulou et al. (<xref ref-type="bibr" rid="B80">80</xref>) wrote that &#x201C;it is now common knowledge that adequate blood pressure control is the most important factor for the preservation of renal function, so every drug that effectively lowers hypertension is believed to be renoprotective,&#x201D; the findings of the paper do not support this statement. The risks of hypertensive medications were three times or more higher than those without medications for KD. Any medication may have negative side effects. In particular, the risk of KD is much higher for individuals taking antihypertensive medications. These medications must be prescribed with caution to minimize any negative side effect, and further studies are needed on the risks of antihypertensive medications.</p>
<p>We obtained slightly different results from those of previous studies. One possible reason might be a sample selection bias. In this study, we analyzed the general population. In other studies, special individuals with a high risk of diseases were analyzed. The rate of having heart diseases in the next year is about 0.5&#x0025;. If the sample size is 10 thousand, the expected number of new patients is just 50 per year and it is sometimes difficult to get statistically significant results. In the SPRINT (<xref ref-type="bibr" rid="B16">16</xref>), they selected 9,361patients (4,678: intensive treatment; 4,683: standard treatment) at high risk for cardiovascular events. They admitted that &#x201C;The lack of generalizability to populations&#x2009;&#x2026;&#x2009;is a limitation.&#x201D; Over 2.8 million observations were used in the study and the generalizability problem might be improved. For the theoretical details, see Nawata and Kimura (<xref ref-type="bibr" rid="B19">19</xref>).</p>
</sec>
<sec id="s5" sec-type="conclusions"><label>5.</label><title>Conclusion</title>
<p>In this study, the risk factors for heart, cerebrovascular, and kidney diseases (HD, CBD, and KD) were analyzed using data from 2,837,334, 2,864,874, and 2,870,262 medical checkups obtained from the JMDC claims database. The data of individuals who had no history of each disease at year t and had information in the following year were analyzed using the logit models. Among the health-related information, age was a very important risk factor. The histories of other types of diseases were also very important factors, and the risks of HD, CBD, and KD would increase when individuals had histories of other diseases.</p>
<p>Among other factors, urine protein levels and recent large weight changes were very important for all three diseases. For KD, the risk would be more than double for individuals with high urine protein levels, and these individuals should be aware of this fact to prevent KD.</p>
<p>The side effects of the medications, including interactions, were also evaluated. Taking antihypertensive medications increased the risk of disease. The negative side effects were especially severe when individuals were taking antihypertensive drugs. Antihypertensive medications are widely used. Although the 2017ACC/AHA guideline lowered the hypertensive criterion, special care and additional studies are necessary to prescribe these medications, particularly antihypertensive medications so as to minimize the negative side effects of medications.</p>
<p>As the dataset comprises the health checkups of workers in Japan, it does not include individuals aged 76 and above. Age is a very important factor in these diseases, and the risk of these diseases increases with age. Although no precise data are not available, it is indicated that adequate care and consideration should be given to antihypertensive medications for the elderly. It is also necessary to collect data on older adults. The dataset only contained information obtained in Japan. The Japanese are ethnically homogeneous, and potential ethnic effects on the diseases are not evaluated. This might be an advantage to examine factors such as effects of medications because underlying genetic influences might be small. However, we may get different results in other countries, and that is a limitation of this study. Further studies are needed for generalization of this study. These will be the subjects of future studies.</p>
</sec>
</body>
<back>
<sec id="s7" sec-type="data-availability"><title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: JMDC Claims Database <ext-link ext-link-type="uri" xlink:href="https://www.jmdc.co.jp/en/jmdc-claims-database/">https://www.jmdc.co.jp/en/jmdc-claims-database/</ext-link>.</p>
</sec>
<sec id="s20"><title>Ethics statement</title>
<p>This study was approved by the Institutional Review Board of Hitotsubashi University.</p>
</sec>
<sec id="s8" sec-type="author-contributions"><title>Author contributions</title>
<p>The author confirms being the sole contributor of this work and has approved it for publication.</p>
</sec>
<ack><title>Acknowledgments</title>
<p>This study is part of the research project &#x201C;Basic research for exploring the ideal medical intervention after the advent of the new coronavirus&#x201D; at the Research Institute of Economy, Trade and Industry (RIETI). The JMDC Claims Database was purchased by RIETI from the JMDC Cooperation for the project. The author would like to thank project leader Yoichi Sekizawa for his helpful cooperation. The author would also like to thank reviewers for thier helpful comments and suggestions.</p>
</ack>
<sec id="s9" sec-type="COI-statement"><title>Conflict of interest</title>
<p>The author declares that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="disclaimer"><title>Publisher&#x0027;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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<app-group><app><title>APPENDIX</title>
<p>Appendix A. Confidence intervals</p>
<p>The confidence interval of the ratio of the two estimators is calculated using the following formula:<disp-formula id="disp-formula5"><label>(A.1)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="DM6"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:mover><mml:mi>a</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:mover><mml:mi>b</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow></mml:mfrac></mml:mrow><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:mover><mml:mi>a</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:mover><mml:mi>b</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow></mml:mfrac></mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mrow><mml:mo>&#x22C5;</mml:mo></mml:mrow><mml:mrow><mml:mo>&#x2212;</mml:mo></mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:mover><mml:mi>a</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow><mml:mi>b</mml:mi></mml:mfrac></mml:mrow><mml:mo>+</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:mover><mml:mi>a</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow><mml:mi>b</mml:mi></mml:mfrac></mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mi>a</mml:mi><mml:mi>b</mml:mi></mml:mfrac></mml:mrow><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mrow><mml:mover><mml:mi>a</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mrow><mml:mover><mml:mi>b</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow></mml:mfrac></mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mi>b</mml:mi></mml:mfrac></mml:mrow></mml:mstyle></mml:mstyle></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mspace width="thickmathspace" /><mml:mo>+</mml:mo><mml:mspace width="thickmathspace" /><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mi>b</mml:mi></mml:mfrac></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mrow><mml:mover><mml:mi>a</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mstyle></mml:mstyle></mml:mstyle></mml:mstyle></mml:mstyle></mml:mstyle></mml:math></disp-formula><disp-formula id="disp-formula6"><label>(A.2)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="DM7"><mml:mrow><mml:mover><mml:mi>a</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mrow><mml:mover><mml:mi>b</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow></mml:mfrac></mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mi>b</mml:mi></mml:mfrac></mml:mrow></mml:mstyle></mml:mstyle></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mrow><mml:mover><mml:mi>a</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>b</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mrow><mml:mover><mml:mi>b</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow><mml:mrow><mml:mi>b</mml:mi><mml:mrow><mml:mover><mml:mi>b</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow></mml:mfrac></mml:mrow><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mi>a</mml:mi><mml:mrow><mml:msup><mml:mi>b</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>b</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mrow><mml:mover><mml:mi>b</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mspace width="thickmathspace" /><mml:mo>+</mml:mo><mml:mspace width="thickmathspace" /><mml:msub><mml:mi>o</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msup><mml:mi>n</mml:mi><mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mrow></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>.</mml:mo></mml:mstyle></mml:mstyle></mml:math></disp-formula>From (A.1) and (A.2), we get<disp-formula id="disp-formula7"><label>(A.3)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="DM8"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:mover><mml:mi>a</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:mover><mml:mi>b</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow></mml:mfrac></mml:mrow><mml:mspace width="thickmathspace" /><mml:mo>&#x2212;</mml:mo><mml:mspace width="thickmathspace" /><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mi>a</mml:mi><mml:mi>b</mml:mi></mml:mfrac></mml:mrow><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mi>b</mml:mi></mml:mfrac></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mrow><mml:mover><mml:mi>a</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mspace width="thickmathspace" /><mml:mo>+</mml:mo><mml:mspace width="thickmathspace" /><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mi>a</mml:mi><mml:mrow><mml:msup><mml:mi>b</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>b</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mrow><mml:mover><mml:mi>b</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mspace width="thickmathspace" /><mml:mo>+</mml:mo><mml:mspace width="thickmathspace" /><mml:msub><mml:mi>o</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msup><mml:mi>n</mml:mi><mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mrow></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mtable rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mi>A</mml:mi></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>&#x223C;</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable><mml:mi>N</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>&#x03C9;</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mstyle></mml:mstyle></mml:mstyle></mml:mstyle></mml:math></disp-formula><disp-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="UDM1"><mml:mi>&#x03C9;</mml:mi><mml:mspace width="thickmathspace" /><mml:mo>=</mml:mo><mml:mspace width="thickmathspace" /><mml:mo stretchy="false">(</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mi>b</mml:mi></mml:mfrac></mml:mrow><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mi>V</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mrow><mml:mover><mml:mi>a</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mspace width="thickmathspace" /><mml:mo>+</mml:mo><mml:mspace width="thickmathspace" /><mml:mo stretchy="false">(</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mi>a</mml:mi><mml:mrow><mml:msup><mml:mi>b</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mrow><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mn>2</mml:mn></mml:msup><mml:mi>V</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mrow><mml:mover><mml:mi>b</mml:mi><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mo>.</mml:mo></mml:mstyle></mml:mstyle></mml:math></disp-formula>
Appendix B. Abbreviations</p>
<p>The following table is the list of abbreviations used in this paper.</p>
<table-wrap id="T7" position="float"><label>Table 7</label>
<caption><p>List of abbreviations (symbols and their meaning).</p></caption>
<table frame="hsides" rules="groups">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th valign="top" align="left">Symbol</th>
<th valign="top" align="center">Meaning</th>
<th valign="top" align="center">Symbol</th>
<th valign="top" align="center">Meaning</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">HD</td>
<td valign="top" align="left">heart disease</td>
<td valign="top" align="left"><italic>AST</italic></td>
<td valign="top" align="left">aspartate aminotransferase</td>
</tr>
<tr>
<td valign="top" align="left">CBD</td>
<td valign="top" align="left">cerebrovascular disease</td>
<td valign="top" align="left"><italic>GGP</italic></td>
<td valign="top" align="left">&#x03B3;-glutamyl transferase</td>
</tr>
<tr>
<td valign="top" align="left">KD</td>
<td valign="top" align="left">kidney disease</td>
<td valign="top" align="left"><italic>U_Sugar</italic></td>
<td valign="top" align="left">urine sugar</td>
</tr>
<tr>
<td valign="top" align="left">CVD</td>
<td valign="top" align="left">cardiovascular disease</td>
<td valign="top" align="left"><italic>U_Protein</italic></td>
<td valign="top" align="left">urine protein</td>
</tr>
<tr>
<td valign="top" align="left">IHD</td>
<td valign="top" align="left">ischemic HD</td>
<td valign="top" align="left"><italic>Alcohol_Freq</italic></td>
<td valign="top" align="left">frequency of alcohol intake</td>
</tr>
<tr>
<td valign="top" align="left">CKD</td>
<td valign="top" align="left">chronic KD</td>
<td valign="top" align="left"><italic>Alcohol_Amount</italic></td>
<td valign="top" align="left">amount of alcohol intake</td>
</tr>
<tr>
<td valign="top" align="left"><italic>HD<sub>t</sub></italic></td>
<td valign="top" align="left">having a HD history at t</td>
<td valign="top" align="left"><italic>Weight_1</italic></td>
<td valign="top" align="left">weight change in a year</td>
</tr>
<tr>
<td valign="top" align="left"><italic>CBD<sub>t</sub></italic></td>
<td valign="top" align="left">having a CVD history at t</td>
<td valign="top" align="left"><italic>Weight_20</italic></td>
<td valign="top" align="left">weight change from age 20</td>
</tr>
<tr>
<td valign="top" align="left"><italic>KD<sub>t</sub></italic></td>
<td valign="top" align="left">having a KD history at <italic>t</italic></td>
<td valign="top" align="left"><italic>Eat_Fast</italic></td>
<td valign="top" align="left">eating faster</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Age</italic></td>
<td valign="top" align="left">age of a person</td>
<td valign="top" align="left"><italic>Late_Supper</italic></td>
<td valign="top" align="left">late supper</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Female</italic></td>
<td valign="top" align="left">gender</td>
<td valign="top" align="left"><italic>No_Breakfast</italic></td>
<td valign="top" align="left">not eating breakfast</td>
</tr>
<tr>
<td valign="top" align="left"><italic>family</italic></td>
<td valign="top" align="left">family member</td>
<td valign="top" align="left"><italic>Exercise</italic></td>
<td valign="top" align="left">exercising</td>
</tr>
<tr>
<td valign="top" align="left"><italic>t1</italic></td>
<td valign="top" align="left">time trend</td>
<td valign="top" align="left"><italic>Activity</italic></td>
<td valign="top" align="left">doing physical activities</td>
</tr>
<tr>
<td valign="top" align="left"><italic>BMI</italic></td>
<td valign="top" align="left">body mass index</td>
<td valign="top" align="left"><italic>Speed</italic></td>
<td valign="top" align="left">walking faster</td>
</tr>
<tr>
<td valign="top" align="left"><italic>SBP</italic></td>
<td valign="top" align="left">systolic blood pressure</td>
<td valign="top" align="left"><italic>Sleep</italic></td>
<td valign="top" align="left">sleeping well</td>
</tr>
<tr>
<td valign="top" align="left"><italic>DBP</italic></td>
<td valign="top" align="left">diastolic blood pressure</td>
<td valign="top" align="left"><italic>M_BP</italic></td>
<td valign="top" align="left">taking antihypertensive medications</td>
</tr>
<tr>
<td valign="top" align="left"><italic>B_Sugar</italic></td>
<td valign="top" align="left">blood sugar</td>
<td valign="top" align="left"><italic>M_Glucose</italic></td>
<td valign="top" align="left">taking antihyperglycemic medications</td>
</tr>
<tr>
<td valign="top" align="left"><italic>HbA1c</italic></td>
<td valign="top" align="left">hemoglobin A1c</td>
<td valign="top" align="left"><italic>M_Cholestrol</italic></td>
<td valign="top" align="left">taking cholesterol medications</td>
</tr>
<tr>
<td valign="top" align="left"><italic>HDL</italic></td>
<td valign="top" align="left">high-density lipoprotein cholesterol</td>
<td valign="top" align="left"><italic>M_ BP &#x0026; GL</italic></td>
<td valign="top" align="left">taking antihypertensive and antihyperglycemic medications</td>
</tr>
<tr>
<td valign="top" align="left"><italic>LDL</italic></td>
<td valign="top" align="left">low-density lipoprotein cholesterol</td>
<td valign="top" align="left"><italic>M_ BP &#x0026; CH</italic></td>
<td valign="top" align="left">taking antihypertensive and cholesterol medications</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Triglyceride</italic></td>
<td valign="top" align="left">serum triglyceride level</td>
<td valign="top" align="left"><italic>M_ GL &#x0026; CH</italic></td>
<td valign="top" align="left">taking antihyperglycemic and medications</td>
</tr>
<tr>
<td valign="top" align="left"><italic>ALT</italic></td>
<td valign="top" align="left">alanine aminotransferase</td>
<td valign="top" align="left"><italic>M_ BP &#x0026; GL &#x0026; CH</italic></td>
<td valign="top" align="left">taking antihypertensive, antihyperglycemic, and cholesterol medications</td>
</tr>
</tbody>
</table>
</table-wrap></app>
</app-group>
</back>
</article>