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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Psychol.</journal-id>
<journal-title>Frontiers in Psychology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Psychol.</abbrev-journal-title>
<issn pub-type="epub">1664-1078</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fpsyg.2025.1498717</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Psychology</subject>
<subj-group>
<subject>Brief Research Report</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Cross-cultural validation of the profile of mood scale: evaluation of the psychometric properties of short screening versions</article-title>
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<contrib contrib-type="author">
<name><surname>Schmalbach</surname> <given-names>Ileana</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<name><surname>Schmalbach</surname> <given-names>Bjarne</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<name><surname>Aghababa</surname> <given-names>Alireza</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<name><surname>Brand</surname> <given-names>Ralf</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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<contrib contrib-type="author">
<name><surname>Chang</surname> <given-names>Yu-Kai</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
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<name><surname>&#x00C7;ift&#x00E7;i</surname> <given-names>Muhammet Cihat</given-names></name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<xref ref-type="author-notes" rid="fn012"><sup>&#x2020;</sup></xref>
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<name><surname>Elsangedy</surname> <given-names>Hassan</given-names></name>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
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<name><surname>Fern&#x00E1;ndez Gavira</surname> <given-names>Jes&#x00FA;s</given-names></name>
<xref ref-type="aff" rid="aff7"><sup>7</sup></xref>
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<name><surname>Huang</surname> <given-names>Zhijian</given-names></name>
<xref ref-type="aff" rid="aff8"><sup>8</sup></xref>
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<name><surname>Kristj&#x00E1;nsd&#x00F3;ttir</surname> <given-names>Hafr&#x00FA;n</given-names></name>
<xref ref-type="aff" rid="aff9"><sup>9</sup></xref>
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<name><surname>Mallia</surname> <given-names>Luca</given-names></name>
<xref ref-type="aff" rid="aff10"><sup>10</sup></xref>
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<name><surname>Nosrat</surname> <given-names>Sanaz</given-names></name>
<xref ref-type="aff" rid="aff11"><sup>11</sup></xref>
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<name><surname>Pesce</surname> <given-names>Caterina</given-names></name>
<xref ref-type="aff" rid="aff10"><sup>10</sup></xref>
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<name><surname>Rafnsson</surname> <given-names>Da&#x00F0;i</given-names></name>
<xref ref-type="aff" rid="aff9"><sup>9</sup></xref>
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<name><surname>Medina Rebollo</surname> <given-names>Daniel</given-names></name>
<xref ref-type="aff" rid="aff7"><sup>7</sup></xref>
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<name><surname>Timme</surname> <given-names>Sinika</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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<name><surname>Br&#x00E4;hler</surname> <given-names>Elmar</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff12"><sup>12</sup></xref>
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<name><surname>Petrowski</surname> <given-names>Katja</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>Department of Medical Psychology and Medical Sociology, Johannes-Gutenberg University Mainz</institution>, <addr-line>Mainz</addr-line>, <country>Germany</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Sport Psychology, Sport Sciences Research Institute of Iran</institution>, <addr-line>Tehran</addr-line>, <country>Iran</country></aff>
<aff id="aff3"><sup>3</sup><institution>Sport and Exercise Psychology, University of Potsdam</institution>, <addr-line>Potsdam</addr-line>, <country>Germany</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Physical Education and Sport Sciences, National Taiwan Normal University</institution>, <addr-line>Taipei</addr-line>, <country>Taiwan</country></aff>
<aff id="aff5"><sup>5</sup><institution>Department of Sport Sciences, Ankara Y&#x0131;ld&#x0131;r&#x0131;m Beyaz&#x0131;t University</institution>, <addr-line>Ankara</addr-line>, <country>T&#x00FC;rkiye</country></aff>
<aff id="aff6"><sup>6</sup><institution>Department of Physical Education, Federal University of Rio Grande do Norte</institution>, <addr-line>Natal</addr-line>, <country>Brazil</country></aff>
<aff id="aff7"><sup>7</sup><institution>Department of Physical Education and Sports, University of Seville</institution>, <addr-line>Seville</addr-line>, <country>Spain</country></aff>
<aff id="aff8"><sup>8</sup><institution>Department of Physical Education, Hubei University</institution>, <addr-line>Wuhan</addr-line>, <country>China</country></aff>
<aff id="aff9"><sup>9</sup><institution>Department of Sport Science, Reykjavik University</institution>, <addr-line>Reykjavik</addr-line>, <country>Iceland</country></aff>
<aff id="aff10"><sup>10</sup><institution>Department of Movement, Human and Health Sciences, University of Rome Foro Italico</institution>, <addr-line>Rome</addr-line>, <country>Italy</country></aff>
<aff id="aff11"><sup>11</sup><institution>Department of Health Sciences, Lehman College, City University of New York</institution>, <addr-line>New York, NY</addr-line>, <country>United States</country></aff>
<aff id="aff12"><sup>12</sup><institution>Department of Medical Psychology and Medical Sociology, University Medical Center of Leipzig</institution>, <addr-line>Leipzig</addr-line>, <country>Germany</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: Ian van der Linde, Anglia Ruskin University, United Kingdom</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: Marco Tommasi, University of Studies G. d&#x2019;Annunzio Chieti and Pescara, Italy</p>
<p>Eric E. Pierson, Ball State University, United States</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Bjarne Schmalbach, <email>schmalbb@uni-mainz.de</email></corresp>
<fn fn-type="other" id="fn012"><p><sup>&#x2020;</sup>ORCID: Muhammet Cihat &#x00C7;ift&#x00E7;i, <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0000-0002-6892-8564">orcid.org/0000-0002-6892-8564</ext-link></p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>17</day>
<month>03</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1498717</elocation-id>
<history>
<date date-type="received">
<day>19</day>
<month>09</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>24</day>
<month>01</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Schmalbach, Schmalbach, Aghababa, Brand, Chang, &#x00C7;ift&#x00E7;i, Elsangedy, Fern&#x00E1;ndez Gavira, Huang, Kristj&#x00E1;nsd&#x00F3;ttir, Mallia, Nosrat, Pesce, Rafnsson, Medina Rebollo, Timme, Br&#x00E4;hler and Petrowski.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Schmalbach, Schmalbach, Aghababa, Brand, Chang, &#x00C7;ift&#x00E7;i, Elsangedy, Fern&#x00E1;ndez Gavira, Huang, Kristj&#x00E1;nsd&#x00F3;ttir, Mallia, Nosrat, Pesce, Rafnsson, Medina Rebollo, Timme, Br&#x00E4;hler and Petrowski</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). 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>
<p>The Profile of Mood States (POMS) is one of the most widely applied scales for measuring mood. Considering the advantages of short scales and increased international research, the aim of the present study was to evaluate cross-culturally the psychometric properties of a short 16-item version of the POMS. Data were collected from 15,693 participants across 10 different countries worldwide. Initially, we identified the original versions of the POMS in various languages. Subsequently, we selected 16 items based on the previously validated short form (POMS-16) for analysis. Psychometric properties of the POMS were then evaluated in samples from each studied population for each language version. Confirmatory factor analysis was conducted to assess its invariance across age groups and gender, alongside reliability estimation. Most language versions of the POMS-16 showed a good fit with the four-factor model, except for the Chinese (traditional) and Turkish versions. Reliability was generally high, except for the <italic>Vigor</italic> subscale in a small subset of languages. Regarding measurement invariance, the majority of language versions were invariant across gender and age groups, except for the Farsi language version across gender, and the Chinese, Farsi, Finnish, and Turkish versions across age. These findings enhance the cross-cultural applicability of the POMS-16, contributing to its utility in diverse populations and thus enhancing the comparability of the results. In addition, we introduced the first versions of the POMS in Farsi, Finnish, and Icelandic.</p>
</abstract>
<kwd-group>
<kwd>mood</kwd>
<kwd>affect</kwd>
<kwd>survey research</kwd>
<kwd>psychometric evaluation</kwd>
<kwd>confirmatory factor analysis</kwd>
</kwd-group>
<counts>
<fig-count count="0"/>
<table-count count="4"/>
<equation-count count="0"/>
<ref-count count="67"/>
<page-count count="9"/>
<word-count count="7196"/>
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<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Quantitative Psychology and Measurement</meta-value>
</custom-meta>
</custom-meta-wrap>
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</front>
<body>
<sec id="sec1">
<title>Background</title>
<p>&#x201C;Mood matters&#x201D;, posited <xref ref-type="bibr" rid="ref34">Lane and Terry (2000)</xref> &#x2013; both, for basic and applied psychological research. Moods are mild and pervasive affective states (<xref ref-type="bibr" rid="ref42">McNair et al., 1971</xref>) influenced by psychophysiological responses (<xref ref-type="bibr" rid="ref61">Soylu, 2021</xref>) that significantly impact wellbeing, influencing behavioral patterns and perception (e.g., perceived health outcomes; <xref ref-type="bibr" rid="ref6">Berger et al., 1998</xref>). <xref ref-type="bibr" rid="ref34">Lane and Terry (2000)</xref> proposed a general definition of mood being &#x201C;a set of feelings, ephemeral in nature, varying in intensity and duration, and usually involving more than one emotion&#x201D; (<xref ref-type="bibr" rid="ref34">Lane and Terry, 2000</xref>, p. 7). A pivotal factor in this description is that mood and emotion are understood as part of the same theoretical background, as making a definitive distinction between them remains a subject of debate (<xref ref-type="bibr" rid="ref20">DeLancey, 2006</xref>, pp. 527&#x2013;538; <xref ref-type="bibr" rid="ref36">Lane et al., 2005</xref>). At a specific level, it is posited that mood encompasses an evaluative facet, namely the extent to which mood is perceived as pleasant, coupled with an arousal component, characterized by varying degrees of activity (<xref ref-type="bibr" rid="ref9003">Terry and Lane, 2000</xref>).</p>
<p>Mood impacts cognitive performance at a basic level (<xref ref-type="bibr" rid="ref58">Schwarz and Clore, 2003</xref>) but is also relevant in collaborative settings, e.g., via mood contagion (<xref ref-type="bibr" rid="ref30">Jordan et al., 2006</xref>; <xref ref-type="bibr" rid="ref48">Neumann and Strack, 2000</xref>). Through these pathways, mood plays an important role in various contexts, such as the workplace (<xref ref-type="bibr" rid="ref45">Morfeld et al., 2007</xref>; <xref ref-type="bibr" rid="ref59">Selmi et al., 2023</xref>) and athletic performance (<xref ref-type="bibr" rid="ref3">Aydi et al., 2022</xref>). In the clinical and psychotherapeutic context, the assessment of mood states is crucial for understanding and addressing mental health concerns (e.g., monitoring mood fluctuations diagnostics, treatment evaluation; <xref ref-type="bibr" rid="ref19">Classen et al., 2001</xref>; <xref ref-type="bibr" rid="ref25">Grulke et al., 2004</xref>; <xref ref-type="bibr" rid="ref27">Hosaka et al., 2001</xref>).</p>
<p>A quick history of the Profile of Mood States (POMS) reflects the amount of effort put into measuring mood state (POMS; <xref ref-type="bibr" rid="ref42">McNair et al., 1971</xref>). In its original form (<xref ref-type="bibr" rid="ref42">McNair et al., 1971</xref>, <xref ref-type="bibr" rid="ref43">1992</xref>), it includes 65 items that are loaded on 7 different scales: depression, anxiety, fatigue, vigor, irritability, tension, and confusion. Initially, seven items constituted a <italic>Friendliness</italic> factor, which was excluded due to poor discriminant validity with the <italic>Vigor-Activity</italic> factor. However, few adaptations of the POMS retained this component (<xref ref-type="bibr" rid="ref2">Andrade et al., 2010</xref>). The intensity of the mood is rated on a 5-point Likert scale ranging from &#x201C;0&#x202F;=&#x202F;not at all&#x201D; to &#x201C;4&#x202F;=&#x202F;very strong.&#x201D; Commonly used time frames reflecting mood over a specific period of time include: Today, Right Now, and This Week (e.g., &#x201C;How did you feel today?&#x201D; vs. &#x201C;the last week including today; <xref ref-type="bibr" rid="ref22">Gibson, 1997</xref>). The total score (total mood disturbance) is calculated by subtracting the (positive) value of the <italic>Vigor</italic> subscale from the sum of the remaining scales. However, different scoring procedures are described with regard to the calculation of scale values (<xref ref-type="bibr" rid="ref32">Kieviet-Stijnen et al., 2008</xref>). It consistently achieved high internal consistency (<italic>&#x03B1;</italic> of 0.84&#x2013;0.95; <xref ref-type="bibr" rid="ref42">McNair et al., 1971</xref>, <xref ref-type="bibr" rid="ref43">1992</xref>) and its construct validity is supported by past research (e.g., <xref ref-type="bibr" rid="ref46">Morris and Salmon, 1994</xref>; <xref ref-type="bibr" rid="ref64">Watson and Clark, 1992</xref>).</p>
<p>Past studies examining its factor structure provided substantial evidence for most of the seven factors (<xref ref-type="bibr" rid="ref49">Norcross et al., 1984</xref>), with the exception of the <italic>Confusion</italic> subscale (<xref ref-type="bibr" rid="ref9">Bourgeois et al., 2012</xref>; <xref ref-type="bibr" rid="ref45">Morfeld et al., 2007</xref>; <xref ref-type="bibr" rid="ref47">Netz et al., 2005</xref>), which was instead regarded as a cognitive state (<xref ref-type="bibr" rid="ref35">Lane et al., 2007</xref>). POMS is one of the most widely used questionnaires providing several advantages. First, it is a multidimensional self-report instrument that captures the transient and oscillating nature of mood states (<xref ref-type="bibr" rid="ref42">McNair et al., 1971</xref>, <xref ref-type="bibr" rid="ref43">1992</xref>). Furthermore, it is a versatile tool that can be applied in a variety of settings extending from the psychotherapeutic and medical field (e.g., <xref ref-type="bibr" rid="ref5">Baker et al., 2002</xref>; <xref ref-type="bibr" rid="ref11">Braslis et al., 1995</xref>; <xref ref-type="bibr" rid="ref24">Gross, 1991</xref>; <xref ref-type="bibr" rid="ref39">L&#x00F3;pez-Jim&#x00E9;nez et al., 2021</xref>; <xref ref-type="bibr" rid="ref62">Szaflarski et al., 2003</xref>; <xref ref-type="bibr" rid="ref63">von Steinb&#x00FC;chel et al., 1994</xref>) to sport psychology (<xref ref-type="bibr" rid="ref37">Leunes and Burger, 2000</xref>; <xref ref-type="bibr" rid="ref38">Lochbaum et al., 2021</xref>). Moreover, it has been widely applied and validated in several languages (Chinese; <xref ref-type="bibr" rid="ref16">Cheung, 1999</xref>; <xref ref-type="bibr" rid="ref17">Cheung and Lam, 2005</xref>; German; <xref ref-type="bibr" rid="ref9002">Grulke et al., 2006</xref>; Italian; <xref ref-type="bibr" rid="ref40">Mannarini et al., 2012</xref>; <xref ref-type="bibr" rid="ref52">Peri et al., 2000</xref>; Portuguese, Spanish; <xref ref-type="bibr" rid="ref9001">Andrade et al., 2013</xref>; <xref ref-type="bibr" rid="ref21">Fern&#x00E1;ndez et al., 2000</xref>; <xref ref-type="bibr" rid="ref50">Perczek et al., 2000</xref>, Turkish; <xref ref-type="bibr" rid="ref60">Selvi et al., 2011</xref>). Due to increased international research and the need for outcome comparability, cross-cultural validation of a scale is paramount. In addition, considering that affective states may be influenced by sociological and cultural aspects, measuring mood states across cultures may provide important insights into universal aspects of mood in a variety of settings.</p>
<p>The German version of the POMS (<xref ref-type="bibr" rid="ref8">Biehl and Landauer, 1975</xref>; <xref ref-type="bibr" rid="ref7">Biehl et al., 1986</xref>) presented the first psychometrical analysis, with satisfactory psychometric results (<italic>a</italic>&#x202F;=&#x202F;0.88&#x2013;0.94). A short version with 35 items (<xref ref-type="bibr" rid="ref12">Bullinger et al., 1990</xref>) indicated satisfying factorial validity and internal consistency (<italic>&#x03B1;</italic>&#x202F;=&#x202F;0.90); however, the data were based on a student sample (<xref ref-type="bibr" rid="ref12">Bullinger et al., 1990</xref>; <xref ref-type="bibr" rid="ref24">Gross, 1991</xref>). A replication in a larger, population-representative sample demonstrated similarly satisfactory internal consistency (<italic>a</italic>&#x202F;=&#x202F;0.89&#x2013;0.95), although it still revealed a limited factorial structure (<xref ref-type="bibr" rid="ref1">Albani et al., 2005</xref>). Due to the limitations in the factorial structure, <xref ref-type="bibr" rid="ref53">Petrowski et al. (2021)</xref> aimed to empirically identify a shorter version of the POMS with improved factorial validity. A psychometrically optimal 16-item solution among all valid combinations of the full POMS was found with a four-factorial structure and very good psychometric properties (<italic>a</italic>&#x202F;=&#x202F;0.86&#x2013;0.91). This version is strictly invariant across age groups and shows strong and partial strict invariance across genders. It represents the shortest version of the POMS available, aside from the English POMS (<xref ref-type="bibr" rid="ref13">Cella et al., 1987</xref>; 11-items). However, the latter only provides a total mood disturbance score without subscales or norms, emphasizing the uniqueness of the German POMS-16 and the developmental lack in other languages.</p>
<p>Ease of administration is an advantage when collecting data, especially when considering target populations in clinical contexts (e.g., patients with cancer and chronic pain) and in epidemiological research. The importance of using brief instruments with robust psychometric properties cannot be overstated. Therefore, preventing exhaustion, resistance, and boredom during the completion of the questionnaire is key. The purpose of the present study was thus to provide a brief measure of mood. To this end, we evaluated the psychometric properties of a short version of the POMS-16 in 11 languages. In this study, we examined whether the described four-factorial structure of the instrument could be replicated and explored additional characteristics of the scales, such as measurement invariances across age and gender.</p>
</sec>
<sec sec-type="methods" id="sec2">
<title>Method</title>
<p>This study used a cross-sectional design to investigate mood, and its data were collected during the initial COVID lockdowns, between 29 March 2020 and 7 May 2020. The various language versions of the POMS were used as part of a separate project (<xref ref-type="bibr" rid="ref10">Brand et al., 2020</xref>) by the International Research Group on COVID and Exercise (IRG). Existing versions of the POMS in various languages were used where available. In cases where no translation was available, the items were translated by bilingual experts in the field of study and subsequently independently checked for the quality of the translation. The translations were based on the English version of the POMS-16. Participants were informed about study procedures, data collection, and anonymization of personal data, and provided informed consent as required by German law, documented prior to commencement of the survey. Participants were recruited either through the research team&#x2019;s personal networks or by responding to invitations shared via mailing lists and social media platforms, which provided a link to the online questionnaire.</p>
<sec id="sec3">
<title>Instruments</title>
<p><italic>Profile of Mood Scales</italic> (POMS-16; <xref ref-type="bibr" rid="ref53">Petrowski et al., 2021</xref>). In the study at hand, we implemented a recently validated short version (POMS-16) based on the original long-form POMS-65 (<xref ref-type="bibr" rid="ref42">McNair et al., 1971</xref>, <xref ref-type="bibr" rid="ref43">1992</xref>). The items are grouped into four factors: dejection, vigor, fatigue, and anger. The intensity of the mood is rated on a 5-point Likert scale ranging from &#x201C;0&#x202F;=&#x202F;not at all&#x201D; to &#x201C;4&#x202F;=&#x202F;very strong,&#x201D; reflecting mood over a specific period of time (&#x201C;How have you felt during the past week including today?&#x201D;). The scores of each individual subscale range from 0 to 16.</p>
</sec>
<sec id="sec4">
<title>Statistical analysis</title>
<p>All analyses were conducted in <italic>R</italic>, using the packages <italic>lavaan</italic> and <italic>semTools</italic> (<xref ref-type="bibr" rid="ref54">Rosseel, 2012</xref>; <xref ref-type="bibr" rid="ref31">Jorgensen et al., 2019</xref>). Specifically, we conducted confirmatory factor analysis (CFA) using robust full-information maximum likelihood estimation (<xref ref-type="bibr" rid="ref55">Schafer and Graham, 2002</xref>; <xref ref-type="bibr" rid="ref66">Yuan and Bentler, 2000</xref>). Across the entire dataset, 2.86% of response data was missing. Following the customary procedure, we analyzed model fit by means of the <italic>&#x03C7;</italic><sup>2</sup>-test and common descriptive fit measures: the comparative fit index (<italic>CFI</italic>), the Tucker&#x2013;Lewis index (<italic>TLI</italic>), the root mean square error of approximation (<italic>RMSEA</italic>), and the standardized root mean square residual (<italic>SRMR</italic>). Based on the typical recommendations, <italic>CFI</italic> and <italic>TLI</italic> should be equal to or greater than 0.90, and even better if it is equal to or greater than 0.95, while <italic>RMSEA</italic> and <italic>SRMR</italic> should be smaller than 0.08, and even better if it is equal or greater than 0.05 (<xref ref-type="bibr" rid="ref28">Hu and Bentler, 1999</xref>; <xref ref-type="bibr" rid="ref56">Schermelleh-Engel et al., 2003</xref>). We considered any given model fit as satisfactory if at least three out of the four indices fulfilled the criteria. Moreover, we report omega as a measure of internal consistency. Since the multiple factors in our model are only moderately correlated and no second-order or general construct can be assumed, we utilized <xref ref-type="bibr" rid="ref41">McDonald&#x2019;s (1999)</xref> basic formula. Finally, we tested the model for measurement invariance across age groups (two groups, split on the median) and participant gender. To this end, we used the common procedure described by <xref ref-type="bibr" rid="ref44">Meredith (1993)</xref> of successively constraining factor loadings, item intercepts, and item residual variances. We utilized the common between-model cutoffs of 0.010 for <italic>CFI</italic> and 0.015 for <italic>RMSEA</italic> (<xref ref-type="bibr" rid="ref18">Cheung and Rensvold, 2002</xref>; <xref ref-type="bibr" rid="ref14">Chen, 2007</xref>).</p>
</sec>
</sec>
<sec sec-type="results" id="sec5">
<title>Results</title>
<sec id="sec6">
<title>Sample characteristics</title>
<p>We analyzed the responses of participants speaking various languages (Chinese simplified, Chinese traditional, English, Farsi, Finnish, German, Icelandic, Italian, Portuguese, Spanish, and Turkish) around the world. The total sample comprised of <italic>N</italic>&#x202F;=&#x202F;15,693 individuals. In general, more women than men participated in the study, with Iceland having, descriptively, the highest ratio of female participation (78.7%). The age average for the various samples ranged between 25 and 42&#x202F;years. Details of the sample are provided in <xref ref-type="table" rid="tab1">Table 1</xref>.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Sample characteristics.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Language</th>
<th align="center" valign="top">
<italic>n</italic>
</th>
<th align="center" valign="top">Margin of error, %</th>
<th align="center" valign="top">Female<break/>(<italic>n</italic>, %)</th>
<th align="center" valign="top">Age (<italic>M</italic> &#x00B1; <italic>SD</italic>)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Chinese (simplified)</td>
<td align="center" valign="middle">922</td>
<td align="center" valign="top">3</td>
<td align="center" valign="middle">482, 53.6%</td>
<td align="center" valign="middle">25.18&#x202F;&#x00B1;&#x202F;9.04</td>
</tr>
<tr>
<td align="left" valign="middle">Chinese (traditional)</td>
<td align="center" valign="middle">1,172</td>
<td align="center" valign="top">3</td>
<td align="center" valign="middle">621, 53.3%</td>
<td align="center" valign="middle">36.17&#x202F;&#x00B1;&#x202F;15.38</td>
</tr>
<tr>
<td align="left" valign="middle">English</td>
<td align="center" valign="middle">7,120</td>
<td align="center" valign="top">1</td>
<td align="center" valign="middle">4,285, 6.5%</td>
<td align="center" valign="middle">33.04&#x202F;&#x00B1;&#x202F;13.14</td>
</tr>
<tr>
<td align="left" valign="middle">Farsi</td>
<td align="center" valign="middle">194</td>
<td align="center" valign="top">7</td>
<td align="center" valign="middle">121, 63%</td>
<td align="center" valign="middle">34.21&#x202F;&#x00B1;&#x202F;9.85</td>
</tr>
<tr>
<td align="left" valign="middle">Finnish</td>
<td align="center" valign="middle">220</td>
<td align="center" valign="top">7</td>
<td align="center" valign="middle">137, 62.3%</td>
<td align="center" valign="middle">42.64&#x202F;&#x00B1;&#x202F;11.31</td>
</tr>
<tr>
<td align="left" valign="middle">German</td>
<td align="center" valign="middle">2,599</td>
<td align="center" valign="top">2</td>
<td align="center" valign="middle">1,629, 63.1%</td>
<td align="center" valign="middle">37.29&#x202F;&#x00B1;&#x202F;14.47</td>
</tr>
<tr>
<td align="left" valign="middle">Icelandic</td>
<td align="center" valign="middle">423</td>
<td align="center" valign="top">5</td>
<td align="center" valign="middle">333, 78.7%</td>
<td align="center" valign="middle">42.79&#x202F;&#x00B1;&#x202F;12.76</td>
</tr>
<tr>
<td align="left" valign="middle">Italian</td>
<td align="center" valign="middle">1,324</td>
<td align="center" valign="top">3</td>
<td align="center" valign="middle">668, 5.6%</td>
<td align="center" valign="middle">39.56&#x202F;&#x00B1;&#x202F;16.42</td>
</tr>
<tr>
<td align="left" valign="middle">Portuguese</td>
<td align="center" valign="middle">553</td>
<td align="center" valign="top">4</td>
<td align="center" valign="middle">353, 64.3%</td>
<td align="center" valign="middle">34.8&#x202F;&#x00B1;&#x202F;11.58</td>
</tr>
<tr>
<td align="left" valign="middle">Spanish</td>
<td align="center" valign="middle">541</td>
<td align="center" valign="top">4</td>
<td align="center" valign="middle">265, 49.3%</td>
<td align="center" valign="middle">31.74&#x202F;&#x00B1;&#x202F;12.43</td>
</tr>
<tr>
<td align="left" valign="middle">Turkish</td>
<td align="center" valign="middle">625</td>
<td align="center" valign="top">4</td>
<td align="center" valign="middle">380, 61.5%</td>
<td align="center" valign="middle">30.78&#x202F;&#x00B1;&#x202F;21.23</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec7">
<title>Factorial validity</title>
<p>We computed a CFA with the above-mentioned items in a correlated factors model with four latent constructs. The majority of the models exhibited a good fit, except for the Chinese (traditional) and Turkish (see <xref ref-type="table" rid="tab2">Table 2</xref>). Similarly, the majority of different language versions showed good to very good reliability for the subscales&#x2014;except for the subscale <italic>Vigor</italic> in English, Icelandic, Portuguese, and Spanish. All standardized factor loadings were equal to or greater than 0.744. At the behest of a reviewer, we added exploratory factor analyses to check the suitability of different numbers of factors in different language versions (see <xref rid="SM1" ref-type="supplementary-material">Supplementary material</xref>). While 1 out of the 11 language versions could potentially be reduced to 3 factors, all 10 other versions required at least 4 factors. Thus, in the interest of cross-cultural comparability and unity of the instrument, we decide in favor of a uniform four-factor solution.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Model fit of each assessed language.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Language</th>
<th align="center" valign="top">&#x03C7;<sup>2</sup></th>
<th align="center" valign="top">df</th>
<th align="center" valign="top">
<italic>p</italic>
</th>
<th align="center" valign="top">CFI</th>
<th align="center" valign="top">TLI</th>
<th align="center" valign="top">RMSEA</th>
<th align="center" valign="top">Lower CI</th>
<th align="center" valign="top">Upper CI</th>
<th align="center" valign="top">SRMR</th>
<th align="center" valign="top" colspan="4">&#x03A9;</th>
</tr>
<tr>
<th/>
<th/>
<th/>
<th/>
<th/>
<th/>
<th/>
<th/>
<th/>
<th/>
<th align="center" valign="top">Fatigue</th>
<th align="center" valign="top">Vigor</th>
<th align="center" valign="top">Anger</th>
<th align="center" valign="top">Dejection</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Chinese (simplified)</td>
<td align="center" valign="middle">645.253</td>
<td align="center" valign="middle">98</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.918</td>
<td align="center" valign="middle">0.900</td>
<td align="center" valign="middle">0.091</td>
<td align="center" valign="middle">0.084</td>
<td align="center" valign="middle">0.098</td>
<td align="center" valign="middle">0.088</td>
<td align="center" valign="middle">0.867</td>
<td align="center" valign="middle">0.744</td>
<td align="center" valign="middle">0.834</td>
<td align="center" valign="middle">0.854</td>
</tr>
<tr>
<td align="left" valign="middle">Chinese (traditional)</td>
<td align="center" valign="middle">948.78</td>
<td align="center" valign="middle">98</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.895</td>
<td align="center" valign="middle">0.872</td>
<td align="center" valign="middle">0.103</td>
<td align="center" valign="middle">0.097</td>
<td align="center" valign="middle">0.109</td>
<td align="center" valign="middle">0.098</td>
<td align="center" valign="middle">0.869</td>
<td align="center" valign="middle">0.724</td>
<td align="center" valign="middle">0.783</td>
<td align="center" valign="middle">0.836</td>
</tr>
<tr>
<td align="left" valign="middle">English</td>
<td align="center" valign="middle">3197.312</td>
<td align="center" valign="middle">98</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.921</td>
<td align="center" valign="middle">0.903</td>
<td align="center" valign="middle">0.073</td>
<td align="center" valign="middle">0.071</td>
<td align="center" valign="middle">0.076</td>
<td align="center" valign="middle">0.065</td>
<td align="center" valign="middle">0.861</td>
<td align="center" valign="middle">0.619</td>
<td align="center" valign="middle">0.803</td>
<td align="center" valign="middle">0.789</td>
</tr>
<tr>
<td align="left" valign="middle">Farsi</td>
<td align="center" valign="middle">212.764</td>
<td align="center" valign="middle">98</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.923</td>
<td align="center" valign="middle">0.905</td>
<td align="center" valign="middle">0.085</td>
<td align="center" valign="middle">0.068</td>
<td align="center" valign="middle">0.101</td>
<td align="center" valign="middle">0.061</td>
<td align="center" valign="middle">0.803</td>
<td align="center" valign="middle">0.821</td>
<td align="center" valign="middle">0.836</td>
<td align="center" valign="middle">0.856</td>
</tr>
<tr>
<td align="left" valign="middle">Finnish</td>
<td align="center" valign="middle">177.126</td>
<td align="center" valign="middle">98</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.951</td>
<td align="center" valign="middle">0.940</td>
<td align="center" valign="middle">0.065</td>
<td align="center" valign="middle">0.049</td>
<td align="center" valign="middle">0.081</td>
<td align="center" valign="middle">0.053</td>
<td align="center" valign="middle">0.900</td>
<td align="center" valign="middle">0.818</td>
<td align="center" valign="middle">0.858</td>
<td align="center" valign="middle">0.817</td>
</tr>
<tr>
<td align="left" valign="middle">German</td>
<td align="center" valign="middle">1088.092</td>
<td align="center" valign="middle">98</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.950</td>
<td align="center" valign="middle">0.938</td>
<td align="center" valign="middle">0.070</td>
<td align="center" valign="middle">0.066</td>
<td align="center" valign="middle">0.074</td>
<td align="center" valign="middle">0.052</td>
<td align="center" valign="middle">0.886</td>
<td align="center" valign="middle">0.873</td>
<td align="center" valign="middle">0.876</td>
<td align="center" valign="middle">0.818</td>
</tr>
<tr>
<td align="left" valign="middle">Icelandic</td>
<td align="center" valign="middle">223.829</td>
<td align="center" valign="middle">98</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.961</td>
<td align="center" valign="middle">0.952</td>
<td align="center" valign="middle">0.059</td>
<td align="center" valign="middle">0.049</td>
<td align="center" valign="middle">0.070</td>
<td align="center" valign="middle">0.044</td>
<td align="center" valign="middle">0.915</td>
<td align="center" valign="middle">0.695</td>
<td align="center" valign="middle">0.843</td>
<td align="center" valign="middle">0.833</td>
</tr>
<tr>
<td align="left" valign="middle">Italian</td>
<td align="center" valign="middle">801.733</td>
<td align="center" valign="middle">98</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.915</td>
<td align="center" valign="middle">0.896</td>
<td align="center" valign="middle">0.083</td>
<td align="center" valign="middle">0.078</td>
<td align="center" valign="middle">0.088</td>
<td align="center" valign="middle">0.061</td>
<td align="center" valign="middle">0.833</td>
<td align="center" valign="middle">0.881</td>
<td align="center" valign="middle">0.82</td>
<td align="center" valign="middle">0.785</td>
</tr>
<tr>
<td align="left" valign="middle">Portuguese</td>
<td align="center" valign="middle">275.634</td>
<td align="center" valign="middle">98</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.952</td>
<td align="center" valign="middle">0.941</td>
<td align="center" valign="middle">0.064</td>
<td align="center" valign="middle">0.055</td>
<td align="center" valign="middle">0.073</td>
<td align="center" valign="middle">0.063</td>
<td align="center" valign="middle">0.906</td>
<td align="center" valign="middle">0.664</td>
<td align="center" valign="middle">0.87</td>
<td align="center" valign="middle">0.808</td>
</tr>
<tr>
<td align="left" valign="middle">Spanish</td>
<td align="center" valign="middle">341.966</td>
<td align="center" valign="middle">98</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.921</td>
<td align="center" valign="middle">0.904</td>
<td align="center" valign="middle">0.075</td>
<td align="center" valign="middle">0.067</td>
<td align="center" valign="middle">0.084</td>
<td align="center" valign="middle">0.088</td>
<td align="center" valign="middle">0.859</td>
<td align="center" valign="middle">0.579</td>
<td align="center" valign="middle">0.872</td>
<td align="center" valign="middle">0.755</td>
</tr>
<tr>
<td align="left" valign="middle">Turkish</td>
<td align="center" valign="middle">632.154</td>
<td align="center" valign="middle">98</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.901</td>
<td align="center" valign="middle">0.879</td>
<td align="center" valign="middle">0.105</td>
<td align="center" valign="middle">0.097</td>
<td align="center" valign="middle">0.113</td>
<td align="center" valign="middle">0.077</td>
<td align="center" valign="middle">0.899</td>
<td align="center" valign="middle">0.764</td>
<td align="center" valign="middle">0.814</td>
<td align="center" valign="middle">0.763</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>We reported omega values for reliability.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec8">
<title>Measurement invariance</title>
<p>Finally, we tested each language version for measurement invariance across participant gender and age groups. For the age groups, we split each language sample at the median. We report the results of the step-wise test process in <xref ref-type="table" rid="tab3">Tables 3</xref>, <xref ref-type="table" rid="tab4">4</xref>. The model in each different language is strictly invariant across gender and age groups, with some exceptions. Concerning gender, the language version of Farsi did not exhibit strict invariance&#x2014;only strong invariance. The other reported languages showed evidence for strict gender invariance. Regarding age, the Chinese, Farsi, Finish, and Turkish versions provide evidence for strict invariance. The remaining language versions did not show strict invariance but strong invariance&#x2014;with the exception of the Italian version.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Measurement invariance with regard to sex.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Language</th>
<th align="left" valign="top">
<italic>Model</italic>
</th>
<th align="center" valign="top">
<italic>&#x03C7;<sup>2</sup></italic>
</th>
<th align="center" valign="top">
<italic>&#x0394;&#x03C7;<sup>2</sup></italic>
</th>
<th align="center" valign="top">df</th>
<th align="center" valign="top">&#x0394;df</th>
<th align="center" valign="top">
<italic>p</italic>
</th>
<th align="center" valign="top">CFI</th>
<th align="center" valign="top">&#x0394;CFI</th>
<th align="center" valign="top">RMSEA</th>
<th align="center" valign="top">&#x0394;RMSEA</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Chinese (simplified)</td>
<td align="left" valign="middle">Configural</td>
<td align="center" valign="middle">775.724</td>
<td/>
<td align="center" valign="middle">196</td>
<td/>
<td/>
<td align="center" valign="middle">0.917</td>
<td/>
<td align="center" valign="middle">0.092</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Chinese (simplified)</td>
<td align="left" valign="middle">Metric</td>
<td align="center" valign="middle">792.918</td>
<td align="center" valign="middle">17.194</td>
<td align="center" valign="middle">208</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">0.142</td>
<td align="center" valign="middle">0.915</td>
<td align="center" valign="middle">0.002</td>
<td align="center" valign="middle">0.090</td>
<td align="center" valign="middle">0.002</td>
</tr>
<tr>
<td align="left" valign="middle">Chinese (simplified)</td>
<td align="left" valign="middle">Scalar</td>
<td align="center" valign="middle">842.285</td>
<td align="center" valign="middle">49.366</td>
<td align="center" valign="middle">220</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.911</td>
<td align="center" valign="middle">0.004</td>
<td align="center" valign="middle">0.090</td>
<td align="center" valign="middle">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Chinese (simplified)</td>
<td align="left" valign="middle">Strict</td>
<td align="center" valign="middle">881.231</td>
<td align="center" valign="middle">38.947</td>
<td align="center" valign="middle">236</td>
<td align="center" valign="middle">16</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">0.906</td>
<td align="center" valign="middle">0.005</td>
<td align="center" valign="middle">0.089</td>
<td align="center" valign="middle">0.001</td>
</tr>
<tr>
<td align="left" valign="middle">Chinese (traditional)</td>
<td align="left" valign="middle">Configural</td>
<td align="center" valign="middle">1044.389</td>
<td/>
<td align="center" valign="middle">196</td>
<td/>
<td/>
<td align="center" valign="middle">0.892</td>
<td/>
<td align="center" valign="middle">0.104</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Chinese (traditional)</td>
<td align="left" valign="middle">Metric</td>
<td align="center" valign="middle">1068.289</td>
<td align="center" valign="middle">23.900</td>
<td align="center" valign="middle">208</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">0.021</td>
<td align="center" valign="middle">0.892</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">0.101</td>
<td align="center" valign="middle">0.003</td>
</tr>
<tr>
<td align="left" valign="middle">Chinese (traditional)</td>
<td align="left" valign="middle">Scalar</td>
<td align="center" valign="middle">1096.357</td>
<td align="center" valign="middle">28.068</td>
<td align="center" valign="middle">220</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">0.005</td>
<td align="center" valign="middle">0.891</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">0.099</td>
<td align="center" valign="middle">0.003</td>
</tr>
<tr>
<td align="left" valign="middle">Chinese (traditional)</td>
<td align="left" valign="middle">Strict</td>
<td align="center" valign="middle">1091.611</td>
<td align="center" valign="middle">4.747</td>
<td align="center" valign="middle">236</td>
<td align="center" valign="middle">16</td>
<td align="center" valign="middle">0.997</td>
<td align="center" valign="middle">0.892</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">0.095</td>
<td align="center" valign="middle">0.004</td>
</tr>
<tr>
<td align="left" valign="middle">English</td>
<td align="left" valign="middle">Configural</td>
<td align="center" valign="middle">3225.091</td>
<td/>
<td align="center" valign="middle">196</td>
<td/>
<td/>
<td align="center" valign="middle">0.921</td>
<td/>
<td align="center" valign="middle">0.073</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">English</td>
<td align="left" valign="middle">Metric</td>
<td align="center" valign="middle">3275.085</td>
<td align="center" valign="middle">49.994</td>
<td align="center" valign="middle">208</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.920</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">0.071</td>
<td align="center" valign="middle">0.002</td>
</tr>
<tr>
<td align="left" valign="middle">English</td>
<td align="left" valign="middle">Scalar</td>
<td align="center" valign="middle">3422.025</td>
<td align="center" valign="middle">146.939</td>
<td align="center" valign="middle">220</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.917</td>
<td align="center" valign="middle">0.003</td>
<td align="center" valign="middle">0.071</td>
<td align="center" valign="middle">0.001</td>
</tr>
<tr>
<td align="left" valign="middle">English</td>
<td align="left" valign="middle">Strict</td>
<td align="center" valign="middle">3508.287</td>
<td align="center" valign="middle">86.262</td>
<td align="center" valign="middle">236</td>
<td align="center" valign="middle">16</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.915</td>
<td align="center" valign="middle">0.003</td>
<td align="center" valign="middle">0.069</td>
<td align="center" valign="middle">0.001</td>
</tr>
<tr>
<td align="left" valign="middle">Farsi</td>
<td align="left" valign="middle">Configural</td>
<td align="center" valign="middle">32.397</td>
<td/>
<td align="center" valign="middle">196</td>
<td/>
<td/>
<td align="center" valign="middle">0.924</td>
<td/>
<td align="center" valign="middle">0.084</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Farsi</td>
<td align="left" valign="middle">Metric</td>
<td align="center" valign="middle">333.141</td>
<td align="center" valign="middle">12.744</td>
<td align="center" valign="middle">208</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">0.388</td>
<td align="center" valign="middle">0.922</td>
<td align="center" valign="middle">0.002</td>
<td align="center" valign="middle">0.082</td>
<td align="center" valign="middle">0.001</td>
</tr>
<tr>
<td align="left" valign="middle">Farsi</td>
<td align="left" valign="middle">Scalar</td>
<td align="center" valign="middle">34.362</td>
<td align="center" valign="middle">7.221</td>
<td align="center" valign="middle">220</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">0.843</td>
<td align="center" valign="middle">0.925</td>
<td align="center" valign="middle">0.004</td>
<td align="center" valign="middle">0.078</td>
<td align="center" valign="middle">0.004</td>
</tr>
<tr>
<td align="left" valign="middle">Farsi</td>
<td align="left" valign="middle">Strict</td>
<td align="center" valign="middle">373.031</td>
<td align="center" valign="middle">32.669</td>
<td align="center" valign="middle">236</td>
<td align="center" valign="middle">16</td>
<td align="center" valign="middle">0.008</td>
<td align="center" valign="middle">0.914</td>
<td align="center" valign="middle">0.011</td>
<td align="center" valign="middle">0.081</td>
<td align="center" valign="middle">0.003</td>
</tr>
<tr>
<td align="left" valign="middle">Finnish</td>
<td align="left" valign="middle">Configural</td>
<td align="center" valign="middle">307.207</td>
<td/>
<td align="center" valign="middle">196</td>
<td/>
<td/>
<td align="center" valign="middle">0.934</td>
<td/>
<td align="center" valign="middle">0.074</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Finnish</td>
<td align="left" valign="middle">Metric</td>
<td align="center" valign="middle">319.437</td>
<td align="center" valign="middle">12.230</td>
<td align="center" valign="middle">208</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">0.427</td>
<td align="center" valign="middle">0.933</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">0.072</td>
<td align="center" valign="middle">0.002</td>
</tr>
<tr>
<td align="left" valign="middle">Finnish</td>
<td align="left" valign="middle">Scalar</td>
<td align="center" valign="middle">332.579</td>
<td align="center" valign="middle">13.142</td>
<td align="center" valign="middle">220</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">0.359</td>
<td align="center" valign="middle">0.933</td>
<td align="center" valign="middle">0.000</td>
<td align="center" valign="middle">0.070</td>
<td align="center" valign="middle">0.002</td>
</tr>
<tr>
<td align="left" valign="middle">Finnish</td>
<td align="left" valign="middle">Strict</td>
<td align="center" valign="middle">333.966</td>
<td align="center" valign="middle">1.387</td>
<td align="center" valign="middle">236</td>
<td align="center" valign="middle">16</td>
<td align="center" valign="middle">1.000</td>
<td align="center" valign="middle">0.939</td>
<td align="center" valign="middle">0.006</td>
<td align="center" valign="middle">0.065</td>
<td align="center" valign="middle">0.006</td>
</tr>
<tr>
<td align="left" valign="middle">German</td>
<td align="left" valign="middle">Configural</td>
<td align="center" valign="middle">1238.140</td>
<td/>
<td align="center" valign="middle">196</td>
<td/>
<td/>
<td align="center" valign="middle">0.947</td>
<td/>
<td align="center" valign="middle">0.072</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">German</td>
<td align="left" valign="middle">Metric</td>
<td align="center" valign="middle">1237.566</td>
<td align="center" valign="middle">0.574</td>
<td align="center" valign="middle">208</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">1.000</td>
<td align="center" valign="middle">0.947</td>
<td align="center" valign="middle">0.000</td>
<td align="center" valign="middle">0.069</td>
<td align="center" valign="middle">0.002</td>
</tr>
<tr>
<td align="left" valign="middle">German</td>
<td align="left" valign="middle">Scalar</td>
<td align="center" valign="middle">130.445</td>
<td align="center" valign="top">62.878</td>
<td align="center" valign="top">220</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.945</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">0.069</td>
<td align="center" valign="top">0.001</td>
</tr>
<tr>
<td align="left" valign="top">German</td>
<td align="left" valign="top">Strict</td>
<td align="center" valign="top">1353.192</td>
<td align="center" valign="top">52.747</td>
<td align="center" valign="top">236</td>
<td align="center" valign="top">16</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.941</td>
<td align="center" valign="top">0.004</td>
<td align="center" valign="top">0.069</td>
<td align="center" valign="top">0.000</td>
</tr>
<tr>
<td align="left" valign="top">Icelandic</td>
<td align="left" valign="top">Configural</td>
<td align="center" valign="top">397.080</td>
<td/>
<td align="center" valign="top">196</td>
<td/>
<td/>
<td align="center" valign="top">0.949</td>
<td/>
<td align="center" valign="top">0.068</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Icelandic</td>
<td align="left" valign="top">Metric</td>
<td align="center" valign="top">40.556</td>
<td align="center" valign="top">3.476</td>
<td align="center" valign="top">208</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">0.991</td>
<td align="center" valign="top">0.948</td>
<td align="center" valign="top">0.001</td>
<td align="center" valign="top">0.066</td>
<td align="center" valign="top">0.002</td>
</tr>
<tr>
<td align="left" valign="top">Icelandic</td>
<td align="left" valign="top">Scalar</td>
<td align="center" valign="top">412.861</td>
<td align="center" valign="top">12.305</td>
<td align="center" valign="top">220</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">0.422</td>
<td align="center" valign="top">0.949</td>
<td align="center" valign="top">0.001</td>
<td align="center" valign="top">0.064</td>
<td align="center" valign="top">0.002</td>
</tr>
<tr>
<td align="left" valign="top">Icelandic</td>
<td align="left" valign="top">Strict</td>
<td align="center" valign="top">413.867</td>
<td align="center" valign="top">1.006</td>
<td align="center" valign="top">236</td>
<td align="center" valign="top">16</td>
<td align="center" valign="top">1.000</td>
<td align="center" valign="top">0.948</td>
<td align="center" valign="top">0.001</td>
<td align="center" valign="top">0.062</td>
<td align="center" valign="top">0.002</td>
</tr>
<tr>
<td align="left" valign="top">Italian</td>
<td align="left" valign="top">Configural</td>
<td align="center" valign="top">867.084</td>
<td/>
<td align="center" valign="top">196</td>
<td/>
<td/>
<td align="center" valign="top">0.919</td>
<td/>
<td align="center" valign="top">0.081</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Italian</td>
<td align="left" valign="top">Metric</td>
<td align="center" valign="top">892.221</td>
<td align="center" valign="top">25.137</td>
<td align="center" valign="top">208</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">0.014</td>
<td align="center" valign="top">0.918</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">0.079</td>
<td align="center" valign="top">0.001</td>
</tr>
<tr>
<td align="left" valign="top">Italian</td>
<td align="left" valign="top">Scalar</td>
<td align="center" valign="top">948.548</td>
<td align="center" valign="top">56.327</td>
<td align="center" valign="top">220</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.913</td>
<td align="center" valign="top">0.005</td>
<td align="center" valign="top">0.079</td>
<td align="center" valign="top">0.000</td>
</tr>
<tr>
<td align="left" valign="top">Italian</td>
<td align="left" valign="top">Strict</td>
<td align="center" valign="top">1011.600</td>
<td align="center" valign="top">63.052</td>
<td align="center" valign="top">236</td>
<td align="center" valign="top">16</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.906</td>
<td align="center" valign="top">0.007</td>
<td align="center" valign="top">0.079</td>
<td align="center" valign="top">0.000</td>
</tr>
<tr>
<td align="left" valign="top">Portuguese</td>
<td align="left" valign="top">Configural</td>
<td align="center" valign="top">357.187</td>
<td/>
<td align="center" valign="top">196</td>
<td/>
<td/>
<td align="center" valign="top">0.958</td>
<td/>
<td align="center" valign="top">0.059</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Portuguese</td>
<td align="left" valign="top">Metric</td>
<td align="center" valign="top">378.371</td>
<td align="center" valign="top">21.184</td>
<td align="center" valign="top">208</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">0.048</td>
<td align="center" valign="top">0.956</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">0.059</td>
<td align="center" valign="top">0.000</td>
</tr>
<tr>
<td align="left" valign="top">Portuguese</td>
<td align="left" valign="top">Scalar</td>
<td align="center" valign="top">401.396</td>
<td align="center" valign="top">23.026</td>
<td align="center" valign="top">220</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">0.028</td>
<td align="center" valign="top">0.954</td>
<td align="center" valign="top">0.003</td>
<td align="center" valign="top">0.059</td>
<td align="center" valign="top">0.000</td>
</tr>
<tr>
<td align="left" valign="top">Portuguese</td>
<td align="left" valign="top">Strict</td>
<td align="center" valign="top">425.607</td>
<td align="center" valign="top">24.211</td>
<td align="center" valign="top">236</td>
<td align="center" valign="top">16</td>
<td align="center" valign="top">0.085</td>
<td align="center" valign="top">0.950</td>
<td align="center" valign="top">0.003</td>
<td align="center" valign="top">0.059</td>
<td align="center" valign="top">0.000</td>
</tr>
<tr>
<td align="left" valign="top">Spanish</td>
<td align="left" valign="top">Configural</td>
<td align="center" valign="top">467.069</td>
<td/>
<td align="center" valign="top">196</td>
<td/>
<td/>
<td align="center" valign="top">0.916</td>
<td/>
<td align="center" valign="top">0.077</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Spanish</td>
<td align="left" valign="top">Metric</td>
<td align="center" valign="top">479.648</td>
<td align="center" valign="top">12.580</td>
<td align="center" valign="top">208</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">0.400</td>
<td align="center" valign="top">0.913</td>
<td align="center" valign="top">0.004</td>
<td align="center" valign="top">0.077</td>
<td align="center" valign="top">0.001</td>
</tr>
<tr>
<td align="left" valign="top">Spanish</td>
<td align="left" valign="top">Scalar</td>
<td align="center" valign="top">498.411</td>
<td align="center" valign="top">18.763</td>
<td align="center" valign="top">220</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">0.094</td>
<td align="center" valign="top">0.911</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">0.075</td>
<td align="center" valign="top">0.001</td>
</tr>
<tr>
<td align="left" valign="top">Spanish</td>
<td align="left" valign="top">Strict</td>
<td align="center" valign="top">533.878</td>
<td align="center" valign="top">35.467</td>
<td align="center" valign="top">236</td>
<td align="center" valign="top">16</td>
<td align="center" valign="top">0.003</td>
<td align="center" valign="top">0.904</td>
<td align="center" valign="top">0.008</td>
<td align="center" valign="top">0.076</td>
<td align="center" valign="top">0.000</td>
</tr>
<tr>
<td align="left" valign="top">Turkish</td>
<td align="left" valign="top">Configural</td>
<td align="center" valign="top">765.972</td>
<td/>
<td align="center" valign="top">196</td>
<td/>
<td/>
<td align="center" valign="top">0.895</td>
<td/>
<td align="center" valign="top">0.108</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Turkish</td>
<td align="left" valign="top">Metric</td>
<td align="center" valign="top">796.985</td>
<td align="center" valign="top">31.013</td>
<td align="center" valign="top">208</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">0.892</td>
<td align="center" valign="top">0.003</td>
<td align="center" valign="top">0.107</td>
<td align="center" valign="top">0.002</td>
</tr>
<tr>
<td align="left" valign="top">Turkish</td>
<td align="left" valign="top">Scalar</td>
<td align="center" valign="top">834.690</td>
<td align="center" valign="top">37.705</td>
<td align="center" valign="top">220</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.888</td>
<td align="center" valign="top">0.004</td>
<td align="center" valign="top">0.105</td>
<td align="center" valign="top">0.001</td>
</tr>
<tr>
<td align="left" valign="top">Turkish</td>
<td align="left" valign="top">Strict</td>
<td align="center" valign="top">856.856</td>
<td align="center" valign="top">22.166</td>
<td align="center" valign="top">236</td>
<td align="center" valign="top">16</td>
<td align="center" valign="top">0.138</td>
<td align="center" valign="top">0.886</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">0.103</td>
<td align="center" valign="top">0.003</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Measurement invariance with regard to age.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Language</th>
<th align="left" valign="top">Model</th>
<th align="center" valign="top">
<italic>&#x03C7;</italic><sup>2</sup></th>
<th align="center" valign="top">&#x0394;<italic>&#x03C7;</italic><sup>2</sup></th>
<th align="center" valign="top">df</th>
<th align="center" valign="top">&#x0394;df</th>
<th align="center" valign="top">
<italic>p</italic>
</th>
<th align="center" valign="top">CFI</th>
<th align="center" valign="top">&#x0394;CFI</th>
<th align="center" valign="top">RMSEA</th>
<th align="center" valign="top">&#x0394;RMSEA</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Chinese (simplified)</td>
<td align="left" valign="middle">Configural</td>
<td align="center" valign="middle">782.449</td>
<td/>
<td align="center" valign="middle">196</td>
<td/>
<td/>
<td align="center" valign="middle">0.917</td>
<td/>
<td align="center" valign="middle">0.091</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Chinese (simplified)</td>
<td align="left" valign="middle">Metric</td>
<td align="center" valign="middle">795.391</td>
<td align="center" valign="middle">12.942</td>
<td align="center" valign="middle">208</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">0.373</td>
<td align="center" valign="middle">0.917</td>
<td align="center" valign="middle">0.000</td>
<td align="center" valign="middle">0.089</td>
<td align="center" valign="middle">0.003</td>
</tr>
<tr>
<td align="left" valign="middle">Chinese (simplified)</td>
<td align="left" valign="middle">Scalar</td>
<td align="center" valign="middle">822.581</td>
<td align="center" valign="middle">27.191</td>
<td align="center" valign="middle">220</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">0.007</td>
<td align="center" valign="middle">0.916</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">0.087</td>
<td align="center" valign="middle">0.002</td>
</tr>
<tr>
<td align="left" valign="middle">Chinese (simplified)</td>
<td align="left" valign="middle">Strict</td>
<td align="center" valign="middle">828.243</td>
<td align="center" valign="middle">5.662</td>
<td align="center" valign="middle">236</td>
<td align="center" valign="middle">16</td>
<td align="center" valign="middle">0.991</td>
<td align="center" valign="middle">0.915</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">0.084</td>
<td align="center" valign="middle">0.003</td>
</tr>
<tr>
<td align="left" valign="middle">Chinese (traditional)</td>
<td align="left" valign="middle">Configural</td>
<td align="center" valign="middle">1064.389</td>
<td/>
<td align="center" valign="middle">196</td>
<td/>
<td/>
<td align="center" valign="middle">0.894</td>
<td/>
<td align="center" valign="middle">0.103</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Chinese (traditional)</td>
<td align="left" valign="middle">Metric</td>
<td align="center" valign="middle">1106.218</td>
<td align="center" valign="middle">41.829</td>
<td align="center" valign="middle">208</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.891</td>
<td align="center" valign="middle">0.002</td>
<td align="center" valign="middle">0.101</td>
<td align="center" valign="middle">0.002</td>
</tr>
<tr>
<td align="left" valign="middle">Chinese (traditional)</td>
<td align="left" valign="middle">Scalar</td>
<td align="center" valign="middle">1156.406</td>
<td align="center" valign="middle">5.189</td>
<td align="center" valign="middle">220</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.888</td>
<td align="center" valign="middle">0.003</td>
<td align="center" valign="middle">0.100</td>
<td align="center" valign="middle">0.001</td>
</tr>
<tr>
<td align="left" valign="middle">Chinese (traditional)</td>
<td align="left" valign="middle">Strict</td>
<td align="center" valign="middle">1186.872</td>
<td align="center" valign="middle">3.466</td>
<td align="center" valign="middle">236</td>
<td align="center" valign="middle">16</td>
<td align="center" valign="middle">0.016</td>
<td align="center" valign="middle">0.884</td>
<td align="center" valign="middle">0.004</td>
<td align="center" valign="middle">0.098</td>
<td align="center" valign="middle">0.002</td>
</tr>
<tr>
<td align="left" valign="middle">English</td>
<td align="left" valign="middle">Configural</td>
<td align="center" valign="middle">3474.126</td>
<td/>
<td align="center" valign="middle">196</td>
<td/>
<td/>
<td align="center" valign="middle">0.916</td>
<td/>
<td align="center" valign="middle">0.076</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">English</td>
<td align="left" valign="middle">Metric</td>
<td align="center" valign="middle">3531.847</td>
<td align="center" valign="middle">57.721</td>
<td align="center" valign="middle">208</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.915</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">0.074</td>
<td align="center" valign="middle">0.002</td>
</tr>
<tr>
<td align="left" valign="middle">English</td>
<td align="left" valign="middle">Scalar</td>
<td align="center" valign="middle">3682.031</td>
<td align="center" valign="middle">15.184</td>
<td align="center" valign="middle">220</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.912</td>
<td align="center" valign="middle">0.003</td>
<td align="center" valign="middle">0.073</td>
<td align="center" valign="middle">0.001</td>
</tr>
<tr>
<td align="left" valign="middle">English</td>
<td align="left" valign="middle">Strict</td>
<td align="center" valign="middle">4292.368</td>
<td align="center" valign="middle">61.337</td>
<td align="center" valign="middle">236</td>
<td align="center" valign="middle">16</td>
<td align="center" valign="middle">&#x003C;0.001</td>
<td align="center" valign="middle">0.895</td>
<td align="center" valign="middle">0.017</td>
<td align="center" valign="middle">0.077</td>
<td align="center" valign="middle">0.004</td>
</tr>
<tr>
<td align="left" valign="middle">Farsi</td>
<td align="left" valign="middle">Configural</td>
<td align="center" valign="middle">407.490</td>
<td/>
<td align="center" valign="middle">196</td>
<td/>
<td/>
<td align="center" valign="middle">0.871</td>
<td/>
<td align="center" valign="middle">0.110</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Farsi</td>
<td align="left" valign="middle">Metric</td>
<td align="center" valign="middle">424.371</td>
<td align="center" valign="middle">16.881</td>
<td align="center" valign="middle">208</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">0.154</td>
<td align="center" valign="middle">0.867</td>
<td align="center" valign="middle">0.004</td>
<td align="center" valign="middle">0.108</td>
<td align="center" valign="middle">0.001</td>
</tr>
<tr>
<td align="left" valign="middle">Farsi</td>
<td align="left" valign="middle">Scalar</td>
<td align="center" valign="middle">438.834</td>
<td align="center" valign="middle">14.463</td>
<td align="center" valign="middle">220</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">0.272</td>
<td align="center" valign="middle">0.866</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">0.106</td>
<td align="center" valign="middle">0.003</td>
</tr>
<tr>
<td align="left" valign="middle">Farsi</td>
<td align="left" valign="middle">Strict</td>
<td align="center" valign="middle">448.674</td>
<td align="center" valign="middle">9.840</td>
<td align="center" valign="middle">236</td>
<td align="center" valign="middle">16</td>
<td align="center" valign="middle">0.875</td>
<td align="center" valign="middle">0.868</td>
<td align="center" valign="middle">0.002</td>
<td align="center" valign="middle">0.101</td>
<td align="center" valign="middle">0.004</td>
</tr>
<tr>
<td align="left" valign="middle">Finnish</td>
<td align="left" valign="middle">Configural</td>
<td align="center" valign="middle">366.456</td>
<td/>
<td align="center" valign="middle">196</td>
<td/>
<td/>
<td align="center" valign="middle">0.912</td>
<td/>
<td align="center" valign="middle">0.089</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Finnish</td>
<td align="left" valign="middle">Metric</td>
<td align="center" valign="middle">375.606</td>
<td align="center" valign="middle">9.150</td>
<td align="center" valign="middle">208</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">0.690</td>
<td align="center" valign="middle">0.913</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">0.086</td>
<td align="center" valign="middle">0.003</td>
</tr>
<tr>
<td align="left" valign="middle">Finnish</td>
<td align="left" valign="middle">Scalar</td>
<td align="center" valign="middle">391.541</td>
<td align="center" valign="middle">15.935</td>
<td align="center" valign="middle">220</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">0.194</td>
<td align="center" valign="middle">0.911</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">0.084</td>
<td align="center" valign="middle">0.002</td>
</tr>
<tr>
<td align="left" valign="middle">Finnish</td>
<td align="left" valign="middle">Strict</td>
<td align="center" valign="middle">405.706</td>
<td align="center" valign="middle">14.165</td>
<td align="center" valign="middle">236</td>
<td align="center" valign="middle">16</td>
<td align="center" valign="middle">0.586</td>
<td align="center" valign="middle">0.911</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">0.081</td>
<td align="center" valign="middle">0.003</td>
</tr>
<tr>
<td align="left" valign="middle">German</td>
<td align="left" valign="middle">Configural</td>
<td align="center" valign="middle">1164.390</td>
<td/>
<td align="center" valign="middle">196</td>
<td/>
<td/>
<td align="center" valign="middle">0.952</td>
<td/>
<td align="center" valign="middle">0.069</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">German</td>
<td align="left" valign="middle">Metric</td>
<td align="center" valign="middle">1192.162</td>
<td align="center" valign="middle">27.772</td>
<td align="center" valign="middle">208</td>
<td align="center" valign="middle">12</td>
<td align="center" valign="middle">0.006</td>
<td align="center" valign="middle">0.951</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">0.067</td>
<td align="center" valign="middle">0.001</td>
</tr>
<tr>
<td align="left" valign="middle">German</td>
<td align="left" valign="middle">Scalar</td>
<td align="center" valign="middle">1407.062</td>
<td align="center" valign="top">214.900</td>
<td align="center" valign="top">220</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.941</td>
<td align="center" valign="top">0.010</td>
<td align="center" valign="top">0.071</td>
<td align="center" valign="top">0.004</td>
</tr>
<tr>
<td align="left" valign="top">German</td>
<td align="left" valign="top">Strict</td>
<td align="center" valign="top">1788.009</td>
<td align="center" valign="top">38.947</td>
<td align="center" valign="top">236</td>
<td align="center" valign="top">16</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.921</td>
<td align="center" valign="top">0.020</td>
<td align="center" valign="top">0.080</td>
<td align="center" valign="top">0.009</td>
</tr>
<tr>
<td align="left" valign="top">Icelandic</td>
<td align="left" valign="top">Configural</td>
<td align="center" valign="top">361.055</td>
<td/>
<td align="center" valign="top">196</td>
<td/>
<td/>
<td align="center" valign="top">0.954</td>
<td/>
<td align="center" valign="top">0.064</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Icelandic</td>
<td align="left" valign="top">Metric</td>
<td align="center" valign="top">393.531</td>
<td align="center" valign="top">32.476</td>
<td align="center" valign="top">208</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">0.001</td>
<td align="center" valign="top">0.949</td>
<td align="center" valign="top">0.006</td>
<td align="center" valign="top">0.065</td>
<td align="center" valign="top">0.002</td>
</tr>
<tr>
<td align="left" valign="top">Icelandic</td>
<td align="left" valign="top">Scalar</td>
<td align="center" valign="top">422.732</td>
<td align="center" valign="top">29.201</td>
<td align="center" valign="top">220</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">0.004</td>
<td align="center" valign="top">0.944</td>
<td align="center" valign="top">0.005</td>
<td align="center" valign="top">0.066</td>
<td align="center" valign="top">0.001</td>
</tr>
<tr>
<td align="left" valign="top">Icelandic</td>
<td align="left" valign="top">Strict</td>
<td align="center" valign="top">476.488</td>
<td align="center" valign="top">53.756</td>
<td align="center" valign="top">236</td>
<td align="center" valign="top">16</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.926</td>
<td align="center" valign="top">0.018</td>
<td align="center" valign="top">0.074</td>
<td align="center" valign="top">0.007</td>
</tr>
<tr>
<td align="left" valign="top">Italian</td>
<td align="left" valign="top">Configural</td>
<td align="center" valign="top">87.956</td>
<td/>
<td align="center" valign="top">196</td>
<td/>
<td/>
<td align="center" valign="top">0.919</td>
<td/>
<td align="center" valign="top">0.081</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Italian</td>
<td align="left" valign="top">Metric</td>
<td align="center" valign="top">928.266</td>
<td align="center" valign="top">57.310</td>
<td align="center" valign="top">208</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.914</td>
<td align="center" valign="top">0.005</td>
<td align="center" valign="top">0.081</td>
<td align="center" valign="top">0.000</td>
</tr>
<tr>
<td align="left" valign="top">Italian</td>
<td align="left" valign="top">Scalar</td>
<td align="center" valign="top">1105.393</td>
<td align="center" valign="top">177.127</td>
<td align="center" valign="top">220</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.895</td>
<td align="center" valign="top">0.019</td>
<td align="center" valign="top">0.087</td>
<td align="center" valign="top">0.006</td>
</tr>
<tr>
<td align="left" valign="top">Italian</td>
<td align="left" valign="top">Strict</td>
<td align="center" valign="top">1255.493</td>
<td align="center" valign="top">15.101</td>
<td align="center" valign="top">236</td>
<td align="center" valign="top">16</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.878</td>
<td align="center" valign="top">0.017</td>
<td align="center" valign="top">0.090</td>
<td align="center" valign="top">0.004</td>
</tr>
<tr>
<td align="left" valign="top">Portuguese</td>
<td align="left" valign="top">Configural</td>
<td align="center" valign="top">416.917</td>
<td/>
<td align="center" valign="top">196</td>
<td/>
<td/>
<td align="center" valign="top">0.943</td>
<td/>
<td align="center" valign="top">0.069</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Portuguese</td>
<td align="left" valign="top">Metric</td>
<td align="center" valign="top">43.341</td>
<td align="center" valign="top">13.424</td>
<td align="center" valign="top">208</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">0.339</td>
<td align="center" valign="top">0.943</td>
<td align="center" valign="top">0.000</td>
<td align="center" valign="top">0.067</td>
<td align="center" valign="top">0.002</td>
</tr>
<tr>
<td align="left" valign="top">Portuguese</td>
<td align="left" valign="top">Scalar</td>
<td align="center" valign="top">452.105</td>
<td align="center" valign="top">21.764</td>
<td align="center" valign="top">220</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">0.040</td>
<td align="center" valign="top">0.940</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">0.066</td>
<td align="center" valign="top">0.001</td>
</tr>
<tr>
<td align="left" valign="top">Portuguese</td>
<td align="left" valign="top">Strict</td>
<td align="center" valign="top">51.810</td>
<td align="center" valign="top">58.705</td>
<td align="center" valign="top">236</td>
<td align="center" valign="top">16</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.928</td>
<td align="center" valign="top">0.013</td>
<td align="center" valign="top">0.070</td>
<td align="center" valign="top">0.004</td>
</tr>
<tr>
<td align="left" valign="top">Spanish</td>
<td align="left" valign="top">Configural</td>
<td align="center" valign="top">504.322</td>
<td/>
<td align="center" valign="top">196</td>
<td/>
<td/>
<td align="center" valign="top">0.905</td>
<td/>
<td align="center" valign="top">0.083</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Spanish</td>
<td align="left" valign="top">Metric</td>
<td align="center" valign="top">524.940</td>
<td align="center" valign="top">2.618</td>
<td align="center" valign="top">208</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">0.056</td>
<td align="center" valign="top">0.903</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">0.081</td>
<td align="center" valign="top">0.002</td>
</tr>
<tr>
<td align="left" valign="top">Spanish</td>
<td align="left" valign="top">Scalar</td>
<td align="center" valign="top">563.295</td>
<td align="center" valign="top">38.355</td>
<td align="center" valign="top">220</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.895</td>
<td align="center" valign="top">0.008</td>
<td align="center" valign="top">0.082</td>
<td align="center" valign="top">0.001</td>
</tr>
<tr>
<td align="left" valign="top">Spanish</td>
<td align="left" valign="top">Strict</td>
<td align="center" valign="top">689.575</td>
<td align="center" valign="top">126.280</td>
<td align="center" valign="top">236</td>
<td align="center" valign="top">16</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.860</td>
<td align="center" valign="top">0.036</td>
<td align="center" valign="top">0.092</td>
<td align="center" valign="top">0.010</td>
</tr>
<tr>
<td align="left" valign="top">Turkish</td>
<td align="left" valign="top">Configural</td>
<td align="center" valign="top">733.018</td>
<td/>
<td align="center" valign="top">196</td>
<td/>
<td/>
<td align="center" valign="top">0.904</td>
<td/>
<td align="center" valign="top">0.103</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Turkish</td>
<td align="left" valign="top">Metric</td>
<td align="center" valign="top">745.663</td>
<td align="center" valign="top">12.645</td>
<td align="center" valign="top">208</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">0.395</td>
<td align="center" valign="top">0.904</td>
<td align="center" valign="top">0.000</td>
<td align="center" valign="top">0.100</td>
<td align="center" valign="top">0.003</td>
</tr>
<tr>
<td align="left" valign="top">Turkish</td>
<td align="left" valign="top">Scalar</td>
<td align="center" valign="top">788.416</td>
<td align="center" valign="top">42.753</td>
<td align="center" valign="top">220</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.899</td>
<td align="center" valign="top">0.005</td>
<td align="center" valign="top">0.100</td>
<td align="center" valign="top">0.000</td>
</tr>
<tr>
<td align="left" valign="top">Turkish</td>
<td align="left" valign="top">Strict</td>
<td align="center" valign="top">844.341</td>
<td align="center" valign="top">55.925</td>
<td align="center" valign="top">236</td>
<td align="center" valign="top">16</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.890</td>
<td align="center" valign="top">0.009</td>
<td align="center" valign="top">0.101</td>
<td align="center" valign="top">0.001</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec sec-type="discussion" id="sec9">
<title>Discussion</title>
<p>The Profile of Mood States questionnaire is a widely utilized instrument in psychological research. Its applications range from basic research on cognitive issues to applied fields such as work psychology, athletics, and clinical settings. The study at hand aimed to assess the psychometric properties of the newly developed POMS-16 across 10 different languages. Specifically, we aimed to investigate whether the established four-factor structure of the instrument could be replicated in the languages previously described, while also examining measurement invariance across age and gender. Overall, the results of the factor analysis indicated a satisfactory fit for the majority of languages, with the exception of Chinese (traditional) and Turkish versions. However, even these versions with slightly worse fit may prove useful depending on their intended use case. Additionally, the majority of language versions demonstrated strong evidence of reliability across all subscales, although exceptions were observed for the <italic>Vigor</italic> subscale in the English, Icelandic, Portuguese, and Spanish versions. Regarding measurement invariance, the model for each language displayed evidence of strict invariance across gender and age groups, although some exceptions were noted.</p>
<sec id="sec10">
<title>Factorial structure</title>
<p>In detail, compared to the other language versions, the Chinese (traditional) and Turkish versions did not reveal a satisfactory fit. To date, the shortest Chinese version (<xref ref-type="bibr" rid="ref15">Chen et al., 2002</xref>) comprises 30 items and was validated by showing excellent reliability and a one-factor structure, which makes it not comparable to our findings of a four-factor structure. In comparison to our scale, <xref ref-type="bibr" rid="ref15">Chen et al. (2002)</xref> investigated a Taiwanese-speaking elderly community (i.e., aged 65&#x202F;years and above). Similarly, there is no short version of the Turkish language version (<xref ref-type="bibr" rid="ref60">Selvi et al., 2011</xref>). The latter replicated the original six-factor solution containing 58 items. Therefore, there is a need for further studies in order to verify our initial results of the short Turkish version. The data of the following language versions English, Farsi, Finnish, German, Icelandic, Italian, Portuguese, and Spanish provided evidence of a satisfactory fit model. It is worth noting that some studies have used an English version for Finish athletes (<xref ref-type="bibr" rid="ref26">Heikura et al., 2023</xref>; <xref ref-type="bibr" rid="ref29">Huttunen et al., 2004</xref>) or a modified version of the POMS, as applied by <xref ref-type="bibr" rid="ref4">Azizi et al. (2021)</xref> in Iran during COVID-19. However, there are no official translations nor validity studies for the assessment of POMS in Farsi, Finish, or Icelandic. Consequently, the present instrument provides a valid short measure for the evaluation of mood states in these languages.</p>
<p>Furthermore, our revealed factor structure differs from the results provided by <xref ref-type="bibr" rid="ref13">Cella et al. (1987)</xref>, which represents the shortest English version available. In contrast to our studied population, it was validated in a cancer patient population, illustrating a one-factor model without the subscale <italic>Vigor</italic>. The German version in this study validates past results by <xref ref-type="bibr" rid="ref53">Petrowski et al. (2021)</xref> showing a four-factorial structure and similar psychometric properties. The Italian short version of the POMS (<xref ref-type="bibr" rid="ref40">Mannarini et al., 2012</xref>) shows a two-factor structure with 13 items, which was also evaluated in a patient sample with cancer. The authors renamed the scale to &#x201C;Negative and Positive Mood State Short Form,&#x201D; leaving out a differentiation of broader constructs, as depicted in the German version (<xref ref-type="bibr" rid="ref53">Petrowski et al., 2021</xref>). Furthermore, our findings also differ from those provided in the Portuguese version of POMS (<xref ref-type="bibr" rid="ref51">Pereira et al., 2023</xref>). Compared to our sample, the authors evaluated a short version based on student population, exhibiting a three-factor structure (i.e., depression, hostility, and vigor) encompassing 12 items. Finally, a short Spanish version (<xref ref-type="bibr" rid="ref2">Andrade et al., 2010</xref>) demonstrated a five-factor structure with 30 items, validated in an athlete sample. Although shorter than the original, our newly validated Spanish version appears more suitable for purposes that require frequent and rapid self-monitoring.</p>
</sec>
<sec id="sec11">
<title>Measurement invariance</title>
<p>To the best of our knowledge, the analysis of the present study provides the first evidence of measurement invariance in the reported languages with regard to gender and age. However, measurement invariance of the short German version of the POMS-16 has been previously assessed (<xref ref-type="bibr" rid="ref53">Petrowski et al., 2021</xref>). The current results replicate past findings revealing gender invariance and strong evidence for age invariance. With the exception of Farsi, all of the other reported languages exhibited evidence for strict gender invariance, although Farsi was still strongly invariant. The Chinese, Farsi, Finish, and Turkish versions were strictly invariant across ages. The remaining versions did not show strict invariance for age, except for the Italian version, which supported strong invariance for age. In practice, strong invariance is considered sufficient to allow for valid comparisons between groups (<xref ref-type="bibr" rid="ref23">Gregorich, 2006</xref>; <xref ref-type="bibr" rid="ref57">Schmalbach and Zenger, 2019</xref>). In sum, the findings of this study have implications for both research and clinical practice. Overall, the POMS-16 questionnaire demonstrates satisfactory fit and strong reliability across most languages, indicating its validity for assessing mood states in diverse cultural contexts. However, exceptions in the <italic>Vigor</italic> subscale for certain language versions suggest the need for cautious interpretation and potential adaptation of the instrument. Despite this, measurement invariance across gender and age groups was generally supported, enhancing the utility of the POMS-16 for comparative research and clinical assessments. Additionally, the POMS in diverse language versions expands its accessibility and applicability, facilitating cross-cultural research and improving assessment accuracy in clinical settings. Future research should consider using the POMS for comparisons between the different cultures and countries examined in the present research.</p>
</sec>
<sec id="sec12">
<title>Limitations</title>
<p>Data collection was carried out during the initial COVID lockdowns in the spring of 2020. Accordingly, it should be noted that this was quite a unique time, which was likely to have an influence on respondents&#x2019; moods. However, it remains unclear whether the evaluation process itself, via the questionnaire, was affected by this. Despite this, the overall psychometric results are comparable to those of previous research, without considering this special circumstance.</p>
</sec>
</sec>
<sec sec-type="conclusions" id="sec13">
<title>Conclusion</title>
<p>The present study aimed to assess the psychometric properties of the POMS-16 questionnaire across 10 languages, examining its four-factor structure and measurement invariance across age and gender. The results indicate a satisfactory fit for the majority of languages, except the Chinese (traditional) and Turkish versions. The majority of language versions showed strong reliability across subscales, with exceptions in the <italic>Vigor</italic> subscale for English, Icelandic, Portuguese, and Spanish versions. Measurement invariance was generally supported across gender and age groups, although some exceptions were noted. Notably, we provided the first version of the POMS in Farsi, Finnish, and Icelandic. These findings enhance the cross-cultural applicability of the POMS-16, contributing to its utility in diverse populations and thus enhancing the comparability of the results.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec14">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="ethics-statement" id="sec15">
<title>Ethics statement</title>
<p>Ethical approval was not required for the studies involving humans because the study included harmless questions regarding exercise and mood, with no risk to participants. In accordance with German law, it did not require ethical approval. The studies were conducted in accordance with the local legislation and institutional requirements. The participants provided their written informed consent to participate in this study.</p>
</sec>
<sec sec-type="author-contributions" id="sec16">
<title>Author contributions</title>
<p>IS: Supervision, Validation, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. BS: Formal analysis, Methodology, Software, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. AA: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. RB: Conceptualization, Data curation, Project administration, Supervision, Validation, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. Y-KC: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. M&#x00C7;: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. HE: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. JF: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. ZH: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. HK: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. LM: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. SN: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. CP: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. DR: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. DM: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. ST: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. EB: Writing &#x2013; review &#x0026; editing, Data curation. KP: Project administration, Validation, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="funding-information" id="sec17">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research and/or publication of this article.</p>
</sec>
<ack>
<p>We are grateful to Noora Ronkainen and Arto Pesola for the translation to Finnish and their support in the recruitment of participants in Finland.</p>
</ack>
<sec sec-type="COI-statement" id="sec18">
<title>Conflict of interest</title>
<p>The authors declare 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 sec-type="disclaimer" id="sec19">
<title>Publisher&#x2019;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>
<sec sec-type="supplementary-material" id="sec20">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/fpsyg.2025.1498717/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/fpsyg.2025.1498717/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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