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<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>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpsyg.2021.626911</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Psychology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Gender Differences in the Distribution of Creativity Scores: Domain-Specific Patterns in Divergent Thinking and Creative Problem Solving</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>He</surname> <given-names>Wu-jing</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/419130/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Wong</surname> <given-names>Wan-chi</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/127900/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Special Education and Counselling, The Education University of Hong Kong</institution>, <addr-line>Tai Po</addr-line>, <country>Hong Kong</country></aff>
<aff id="aff2"><sup>2</sup><institution>Integrated Centre for Wellbeing, The Education University of Hong Kong</institution>, <addr-line>Tai Po</addr-line>, <country>Hong Kong</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Educational Psychology, The Chinese University of Hong Kong</institution>, <addr-line>Hong Kong</addr-line>, <country>Hong Kong</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Maciej Karwowski, University of Wroc&#x0142;aw, Poland</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Boris Forthmann, University of M&#x00FC;nster, Germany; Hansika Kapoor, Monk Prayogshala, India</p></fn>
<corresp id="c001">&#x002A;Correspondence: Wu-jing He, <email>mavishe@eduhk.hk</email></corresp>
<fn fn-type="other" id="fn004"><p>This article was submitted to Educational Psychology, a section of the journal Frontiers in Psychology</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>04</day>
<month>03</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>12</volume>
<elocation-id>626911</elocation-id>
<history>
<date date-type="received">
<day>07</day>
<month>11</month>
<year>2020</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>02</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2021 He and Wong.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>He and Wong</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 present study examined gender differences in the distribution of creative abilities through the lens of <italic>the greater male variability hypothesis</italic>, which postulated that men showed greater interindividual variability than women in both physical and psychological attributes (<xref ref-type="bibr" rid="B20">Ellis, 1894/1934</xref>). Two hundred and six (51.9% female) undergraduate students in Hong Kong completed two creativity measures that evaluated different aspects of creativity, including: (a) a divergent thinking test that aimed to assess idea generation and (b) a creative problem-solving test that aimed to assess restructuring ability. The present findings extended the research of greater male variability in creativity by showing that men generally exhibited greater variance than women in the overall distribution of the creativity scores in both divergent thinking and creative problem solving, despite trivial gender differences in mean scores. The findings further enriched the discourse of the greater male variability hypothesis by showing interesting domain-specific gendered patterns: (1) greater male variability was more likely to occur in figural forms of creativity, with larger effect sizes, when compared to the variability in verbal forms of creativity; and (2) mixed gendered patterns were found in the upper tails of the creativity score distribution with respect to the verbal domain but not the figural one, despite greater male representation being consistently observed in the lower tail of the distribution. Possible underlying mechanisms and implications were discussed.</p>
</abstract>
<kwd-group>
<kwd>gender differences</kwd>
<kwd>greater male variability</kwd>
<kwd>creativity</kwd>
<kwd>divergent thinking</kwd>
<kwd>creative problem solving</kwd>
<kwd>variability analyses</kwd>
<kwd>measurement invariance</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="4"/>
<equation-count count="1"/>
<ref-count count="87"/>
<page-count count="14"/>
<word-count count="0"/>
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</article-meta>
</front>
<body>
<sec id="S1">
<title>Introduction</title>
<p>Gender differences in the distribution of ability scores have become a research topic of interest since Ellis&#x2019;s pioneering thesis on <italic>the greater male variability hypothesis</italic>, which posits that men show greater interindividual variability than women do in regard to a wide range of physical and psychological attributes (<xref ref-type="bibr" rid="B20">Ellis, 1894/1934</xref>), including intellectual abilities (<xref ref-type="bibr" rid="B37">Hedges and Nowell, 1995</xref>; <xref ref-type="bibr" rid="B42">Johnson et al., 2008</xref>). By highlighting wider variances for men than women in score distributions, this hypothesis is insightful in terms of understanding why men may outnumber women among the highest and the lowest scoring individuals in samples that show trivial gender differences in mean scores (<xref ref-type="bibr" rid="B39">Hyde, 2014</xref>; <xref ref-type="bibr" rid="B63">Reilly et al., 2019</xref>).</p>
<p>More recently, research on greater male variability in creativity has also attracted the attention of an increasing number of researchers in the field, who have been puzzled by intriguing findings that showed both gender differences and similarities in creativity (<xref ref-type="bibr" rid="B34">He and Wong, 2011</xref>; <xref ref-type="bibr" rid="B44">Kapoor, 2019</xref>). Noting the paradoxical patterns of gender differences (especially greater male variability) that tended to emerge in the variability of creativity scores, whereas trivial gender differences (or gender similarities) were often observed in mean comparisons, researchers argued that an understanding of the gender-creativity link could not be complete, due to the lack of variability analyses (see <xref ref-type="bibr" rid="B33">He, 2018</xref>). Joining this line of research, the present study aimed to investigate whether men show greater variability than women do in the score distributions of two important constructs of creativity; namely, divergent thinking and creative problem solving.</p>
<sec id="S1.SS1">
<title>The Greater Male Variability Hypothesis</title>
<p>The greater male variability hypothesis (<xref ref-type="bibr" rid="B20">Ellis, 1894/1934</xref>), postulating greater male variance in scores or distributions of abilities, provides an important perspective with which to enrich the discourse regarding gender differences, as an alternative to the common understanding of the issue based solely on mean comparisons (<xref ref-type="bibr" rid="B22">Feingold, 1992</xref>). In contrast to mean comparisons that concern gender differences in average performance or the central score tendency, the greater male variability hypothesis emphasizes gender differences in (1) the overall distribution and (2) the upper and lower extremes of the distribution, which respectively indicate superior and inferior performance (<xref ref-type="bibr" rid="B39">Hyde, 2014</xref>). Because gender differences in variability (despite similar mean scores) imply that the more variable gender will have a higher representation in the higher and/or lower extremes when compared with the less variable gender (<xref ref-type="bibr" rid="B54">Lehre et al., 2008</xref>), this line of research may have important educational and political implications, especially for the fields of gifted and special education, in which gender differences in the upper and lower extremes of trait distributions appear to be more critical than those in mean performance (<xref ref-type="bibr" rid="B35">He and Wong, 2014</xref>; <xref ref-type="bibr" rid="B63">Reilly et al., 2019</xref>).</p>
<p>In terms of operationalization, the greater male variability hypothesis is usually tested with two indexes in the literature. The first index is the <italic>male/female variance ratio (VR)</italic> of the overall score distribution, which is derived by dividing the male variance by the female variance with respect to a given characteristic. A VR greater than 1.0 indicates greater male variability, whereas a VR smaller than 1.0 suggests greater female variability. Furthermore, a VR that equals 1.0 represents equal variabilities in both genders (see <xref ref-type="bibr" rid="B22">Feingold, 1992</xref>; <xref ref-type="bibr" rid="B37">Hedges and Nowell, 1995</xref>). Using this operationalization<sup><xref ref-type="fn" rid="footnote1">1</xref></sup>, many empirical findings have shown that VRs greater than 1.0 were found in general intelligence (<xref ref-type="bibr" rid="B16">Deary et al., 2003</xref>; <xref ref-type="bibr" rid="B42">Johnson et al., 2008</xref>), as well as in specific cognitive abilities (<xref ref-type="bibr" rid="B35">He and Wong, 2014</xref>). For instance, <xref ref-type="bibr" rid="B22">Feingold (1992)</xref> found VRs greater than 1.0 in mechanical reasoning (VR = 1.28), mathematics (VR = 1.20&#x2013;1.24), and spatial processing (VR = 1.21). <xref ref-type="bibr" rid="B37">Hedges and Nowell (1995)</xref> demonstrated VRs = 1.00&#x2013;1.25 in a wide range of aptitude and achievement tests. <xref ref-type="bibr" rid="B35">He and Wong (2014)</xref> also observed that VRs = 1.15&#x2013;1.62 in gifted characteristics, such as imaginational and intellectual overexcitability (i.e., heightened sensitivity and intensity in imaginational and intellectual ability).</p>
<p>The second index is the gender composition (or the <italic>male/female ratios</italic>) in particular regions of the score distribution for a given psychological characteristic. Greater male variability is represented by an excess of men (e.g., a male/female ratio greater than 1.0) at the high (indicating superior performance) and low (indicating inferior performance) extremes of the score distribution (<xref ref-type="bibr" rid="B16">Deary et al., 2003</xref>). For example, researchers reported greater representation of men at both the upper and lower extremes of the IQ score distribution (e.g., <xref ref-type="bibr" rid="B16">Deary et al., 2003</xref>; <xref ref-type="bibr" rid="B42">Johnson et al., 2008</xref>). Similarly, <xref ref-type="bibr" rid="B35">He and Wong (2014)</xref> documented greater male representation at both the upper and lower extremes of the score distribution for intellectual overexcitability (boy/girl ratios = 2.44&#x2013;2.57) and imaginational overexcitability (boy/girl ratios = 2.07&#x2013;7.50). Focusing on the upper extreme, <xref ref-type="bibr" rid="B37">Hedges and Nowell (1995)</xref> documented that men are more represented in the top 1 to 5% in multiple measures of intellectual ability. <xref ref-type="bibr" rid="B40">Hyde et al. (2008)</xref> reported boy/girl ratios of 1.45 and 2.06 in the top 5 and 1%, respectively, of the mathematical score distribution.</p>
</sec>
<sec id="S1.SS2">
<title>Research Into Greater Male Variability in Creativity</title>
<p><xref ref-type="bibr" rid="B34">He and Wong (2011)</xref> pioneered research into greater male variability in creativity, which is commonly conceptualized as the capability of producing ideas or solutions to problems that are evaluated to be novel and useful (<xref ref-type="bibr" rid="B69">Sternberg and Lubart, 1999</xref>). Specifically, they investigated gender differences in creativity by analyzing both means and variability, and found interesting gendered patterns. Based on mean comparisons, they found trivial gender differences in the overall performance of a creative task, as indicated by the total score of the Test for Creative Thinking&#x2013;Drawing Production (TCT&#x2013;DP, <xref ref-type="bibr" rid="B76">Urban and Jellen, 1995/2010</xref>). However, based on variability analyses, they found empirical support for the greater male variability hypothesis by showing significant gender differences in the overall distribution of the TCT&#x2013;DP score (VR = 1.62), as well as greater male representation in the upper and lower extremes of the score distribution, in which a boy/girl ratio of 3.40 was found in the upper region. Furthermore, among the low-scoring individuals in the lower region, all of the individuals were boys.</p>
<p>Subsequently, numerous empirical studies have also shown greater male variance in the overall distribution of the creativity scores, as measured by the TCT&#x2013;DP (e.g., VR = 1.30, <xref ref-type="bibr" rid="B36">He et al., 2013</xref>; VR = 1.85&#x2013;1.88 [except for young children], <xref ref-type="bibr" rid="B32">He et al., 2015</xref>; VR = 1.17, <xref ref-type="bibr" rid="B43">Ju et al., 2015</xref>; VR = 1.82, <xref ref-type="bibr" rid="B47">Karwowski et al., 2016a</xref>; VR = 1.21&#x2013;1.89, <xref ref-type="bibr" rid="B48">Karwowski et al., 2016b</xref>). A review of these studies also suggests that a greater representation of men with a male/female ratio greater than 1.0 might be observed at both or either of the high and low extreme of score distribution. Additionally, greater male variability might occur, regardless of the presence or absence of gender differences in mean scores, implying that the results of variability analyses can be related to or independent of those generated from mean analyses. Hence, researchers have advocated that both variability and mean analyses are necessary in the study of gender differences in creativity, with the aim of generating a more complete picture of the issue from different perspectives (<xref ref-type="bibr" rid="B34">He and Wong, 2011</xref>; <xref ref-type="bibr" rid="B47">Karwowski et al., 2016a</xref>; <xref ref-type="bibr" rid="B33">He, 2018</xref>).</p>
</sec>
<sec id="S1.SS3">
<title>The Present Study</title>
<p>The present study aimed to examine greater male variability in two important constructs of creativity; namely, divergent thinking and creative problem solving. The rationale is three-fold, with details elaborated upon below.</p>
<sec id="S1.SS3.SSS1">
<title>Greater Male Variability in Divergent Thinking and Creative Problem Solving Remains an Under-Investigated Research Question</title>
<p>While a growing body of research has examined greater male variability in creativity, it is interesting to note that all of the empirical investigations (aside from <xref ref-type="bibr" rid="B53">Lau and Cheung, 2015</xref>) have been undertaken using one single measure of creativity (i.e., the TCT&#x2013;DP; <xref ref-type="bibr" rid="B48">Karwowski et al., 2016b</xref>; <xref ref-type="bibr" rid="B33">He, 2018</xref>). However, in the creativity literature, it is commonly accepted that creativity is a multifaceted construct that can be approached from multiple perspectives and assessed with multiple measures (<xref ref-type="bibr" rid="B65">Rhodes, 1961</xref>; <xref ref-type="bibr" rid="B69">Sternberg and Lubart, 1999</xref>). Different measures differ in regard to which aspect of creativity they focus on (<xref ref-type="bibr" rid="B3">Agnoli et al., 2016</xref>); among the various types of creativity tests, there is variation in the kind of creative process being measured (<xref ref-type="bibr" rid="B29">Haase et al., 2018</xref>; <xref ref-type="bibr" rid="B64">Reiter-Palmon et al., 2019</xref>).</p>
<p>In <xref ref-type="bibr" rid="B4">Antonietti and Iannello&#x2019;s (2008)</xref> taxonomy, <italic>idea generation</italic>, <italic>combinatory ability</italic>, and <italic>restructuring ability</italic> represent the three key types of creative processes for which distinct creativity tests are usually used as typical measures. For example, idea generation is usually assessed with divergent thinking tests, such as the Torrance Test of Creative Thinking (TTCT; <xref ref-type="bibr" rid="B72">Torrance, 1974</xref>) or the Wallach-Kogan Creativity Test (WKCT; <xref ref-type="bibr" rid="B80">Wallach and Kogan, 1965</xref>), whereas combinatory ability can be measured with the TCT&#x2013;DP (<xref ref-type="bibr" rid="B76">Urban and Jellen, 1995/2010</xref>). Furthermore, restructuring ability can be tested by creative problem-solving tests such as rebus tests (<xref ref-type="bibr" rid="B59">MacGregor and Cunningham, 2008</xref>) or insight problems (e.g., the candle problem; <xref ref-type="bibr" rid="B19">Duncker, 1945</xref>).</p>
<p>In this context, it is interesting to note that combinatory ability appeared to have received the most research attention in existing empirical investigations of greater male variability in creativity, in which the TCT&#x2013;DP has been applied as the predominant measure of creativity (<xref ref-type="bibr" rid="B48">Karwowski et al., 2016b</xref>). It is surprising that only one empirical study (<xref ref-type="bibr" rid="B53">Lau and Cheung, 2015</xref>) has been documented examining greater male variability in idea generation by applying a divergent thinking test (i.e., the WKCT); this study reported only partial empirical support for the hypothesis. More surprising still, little is known about the generalizability of the hypothesis to the creative process of restructuring ability, owing to the lack of empirical testing on this hypothesis through the assessment of creativity with a creative problem-solving test. To fill this research gap, we aimed to extend the empirical testing of the greater male variability hypothesis in creativity by using a divergent thinking test and a creative problem-solving test.</p>
</sec>
<sec id="S1.SS3.SSS2">
<title>The Divergent Thinking Test and Creative Problem-Solving Test Represent Distinct Types of Creativity Measures Focusing on Different Aspects of Creativity</title>
<p>Divergent thinking refers to the ability to generate diverse and numerous responses to a particular issue that increases the likely output of creative ideas (<xref ref-type="bibr" rid="B27">Guilford, 1956</xref>). A typical divergent thinking test involves open-ended problems in different modalities or task content domains (e.g., verbal or figural stimuli), which requires generating as many ideas as possible (<xref ref-type="bibr" rid="B73">Torrance, 1988</xref>). Some researchers also suggest using &#x201C;be-creative&#x201D; instructions to increase the validity of the measures (<xref ref-type="bibr" rid="B30">Harrington, 1975</xref>; <xref ref-type="bibr" rid="B62">Nusbaum et al., 2014</xref>). Sample questions include proposing unusual uses for a common object, generating questions about a picture, suggesting ways to improve a product, or completing an incomplete drawing in alternative ways. Divergent thinking is indicated with four main indexes of ability, including (1) fluency (i.e., the ability to generate numerous different responses), (2) flexibility (i.e., the ability to generate different categories of responses, (3) originality (i.e., the ability to generate unusual and unique responses when compared to the norm; see also <xref ref-type="bibr" rid="B85">Wilson et al., 1953</xref>, for alternative ways to operationally define originality), and (4) elaboration (i.e., the ability to give elaborative details in the responses; see <xref ref-type="bibr" rid="B51">Kleibeuker et al., 2013</xref>).</p>
<p>In <xref ref-type="bibr" rid="B79">Wakefield&#x2019;s (1989)</xref> taxonomy, problem types are differentiated along ill- versus well-defined and open- versus closed-solution dimensions; the divergent thinking test represents a well-defined, open-solution problem. In contrast, the creative problem-solving test represents an ill-defined, closed-solution problem used to assess restructuring ability (<xref ref-type="bibr" rid="B68">Stanciu and Papasteri, 2018</xref>). The ability of creative problem solving is usually assessed with insight problems, which stress the role of the &#x201C;Aha!&#x201D; experience that leads to the sudden realization of a new approach to a problem as a result of a restructuring of the problem (<xref ref-type="bibr" rid="B81">Wallas, 1926</xref>; <xref ref-type="bibr" rid="B84">Weisberg, 2015</xref>). In solving this type of problem, participants usually encounter obstacles at first, due to insufficient information or information that was not immediately obvious, which can be used to solve the problem (<xref ref-type="bibr" rid="B17">DeYoung et al., 2008</xref>). The key to finding the right solution requires one to reframe his or her mental approach by restructuring the problem when it becomes suddenly clear that the usual approach does not lead to a feasible solution (<xref ref-type="bibr" rid="B9">Beaty et al., 2014</xref>). For example, in a typical creative insight problem, such as the candle problem (<xref ref-type="bibr" rid="B19">Duncker, 1945</xref>), participants were required to attach a candle to a wall using only the objects that were available. Participants usually went through a process that involved encountering obstacles (e.g., the functional fixedness of a tack box as a container, not a candlestick) at the beginning and then coming up with a sudden &#x201C;Aha!&#x201D; solution when a successful reconstruction of the problem representation occurred (e.g., seeing the tack box as a candlestick). The total number of correctly solved insight problems is usually used as an index of creative ability (<xref ref-type="bibr" rid="B84">Weisberg, 2015</xref>; <xref ref-type="bibr" rid="B29">Haase et al., 2018</xref>).</p>
<p>Individuals&#x2019; performances in regard to the measures of divergent thinking and creative problem solving were found to be not correltated (<xref ref-type="bibr" rid="B56">Lin et al., 2012</xref>) or weakly correlated (<xref ref-type="bibr" rid="B83">Webb et al., 2017</xref>), showing that divergent thinking and creative problem are separable constructs. Moreover, empirical findings also illustrated distinct developmental trajectories of creative problem solving and divergent thinking (<xref ref-type="bibr" rid="B51">Kleibeuker et al., 2013</xref>), and creative problem solving was not predicted by divergent thinking, but rather by convergent thinking (<xref ref-type="bibr" rid="B10">Beck et al., 2016</xref>).</p>
<p>A summary of the key distinctions between a divergent thinking test and a creative problem-solving test can be found in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>Key distinctions between a divergent thinking test and a creative problem solving test.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<tbody>
<tr>
<td valign="top" align="center">
<inline-graphic xlink:href="fpsyg-12-626911-t001.jpg"/>
</td>
</tr>
</tbody>
</table></table-wrap>
</sec>
<sec id="S1.SS3.SSS3">
<title>Gendered Patterns in Divergent Thinking and Creative Problem Solving Remain Inconclusive Based on the Findings of Mean Comparisons</title>
<p>Mean comparisons remain the sole concern in the existing literature regarding gender differences in divergent thinking and creative problem solving; inconsistent and inconclusive findings have been reported (<xref ref-type="bibr" rid="B2">Abraham, 2016</xref>). There are studies showing significant gender differences in favor of women in regard to divergent thinking (e.g., <xref ref-type="bibr" rid="B52">Kuhn and Holling, 2009</xref>; <xref ref-type="bibr" rid="B13">Cheung and Lau, 2010</xref>) and in favor of men in regard to insightful problem solving (e.g., <xref ref-type="bibr" rid="B41">Jiang et al., 2015</xref>). In a direct comparison of the gender-creativity relationship between divergent thinking and creative problem solving, <xref ref-type="bibr" rid="B56">Lin et al. (2012)</xref> found similar gendered patterns, which suggest female superiority in divergent thinking and male superiority in creative problem solving.</p>
<p>In spite of some findings that have demonstrated significant gender differences, mixed findings have also been reported that show statistically trivial gender differences, which suggest gender similarities. Perhaps the most striking findings were reported by Baer and colleagues (<xref ref-type="bibr" rid="B6">Baer, 1999</xref>; <xref ref-type="bibr" rid="B7">Baer and Kaufman, 2008</xref>). In their comprehensive review of studies that compared the mean scores of creative tests between the two genders, they found approximately 50% (<xref ref-type="bibr" rid="B6">Baer, 1999</xref>) or even 84% (<xref ref-type="bibr" rid="B7">Baer and Kaufman, 2008</xref>) of the reviewed studies reported trivial gender differences, whereas mixed results were found in the remaining studies that showed either female or male superiority (see also <xref ref-type="bibr" rid="B82">Warren et al., 2018</xref>). Of note, in most of the documented studies, measurement invariance has been rarely tested prior to the analyses of mean differences, while the establishment of a strict measurement invariance between gender groups was held to be critical to unequivocally allowing mean comparisons (<xref ref-type="bibr" rid="B52">Kuhn and Holling, 2009</xref>; <xref ref-type="bibr" rid="B47">Karwowski et al., 2016a</xref>).</p>
<p>Given the inconsistent and intriguing gendered patterns reported in divergent thinking and creative problem solving based on the results of mean comparisons, researchers have generally agreed that the empirical findings regarding the gender-creativity link are still far from conclusive; continuing empirical scrutiny is required (<xref ref-type="bibr" rid="B2">Abraham, 2016</xref>; <xref ref-type="bibr" rid="B33">He, 2018</xref>). Surprisingly, few research findings have been presented on the gendered patterns in the variability of divergent thinking and creative problem solving, as discussed in Section &#x201C;Greater Male Variability in Divergent Thinking and Creative Problem Solving Remains an Under-Investigated Research Question.&#x201D; It is thus our intention in the present study to extend this line of research by analyzing gender differences in the distribution of the scores in divergent thinking and creative problem solving, to illuminate the gendered patterns in these aspects of creativity based on an alternative perspective (i.e., the greater male variability hypothesis). Furthermore, issues of measure invariance will be taken into account in the analyses of gender differences in the present study.</p>
</sec>
<sec id="S1.SS3.SSS4">
<title>Hypotheses</title>
<p>Drawing upon the greater male variability hypothesis and relevant research in creativity, it is expected that male participants will demonstrate greater variability than female participants in creativity. Specifically, the following hypotheses were formulated:</p>
<list list-type="simple">
<list-item>
<label>H1.</label>
<p>Men will show a VR greater than 1.0 in both (a) divergent thinking and (b) creative problem solving;</p>
</list-item>
<list-item>
<label>H2.</label>
<p>There will be a male/female ratio greater than 1.0 in the upper and lower extremes of the score distributions in both (a) divergent thinking and (b) creative problem solving.</p>
</list-item>
</list>
</sec>
</sec>
</sec>
<sec id="S2">
<title>Methods</title>
<sec id="S2.SS1">
<title>Participants and Procedure</title>
<p>A convenience sample of 218 (56.0% female) undergraduate students from different academic fields (e.g., arts and languages, education, engineering, sciences, and social studies) were recruited from five universities in Hong Kong to join the study on a voluntary basis. The recruitment of participants from different universities and different academic fields prevented the data from becoming homogenous, thus enabling a better representation of score variance and distribution. An exploration of the thinking process was explained as the main objective of the study. The participants were assured that their participation in the study was completely voluntary, anonymous, and confidential. Written informed consent was obtained from all participants.</p>
<p>The final sample consisted of 206 (51.9% female) participants, with 12 participants excluded from the original sample owing to discontinued participation or incomplete responses to any parts of the measurements (the attrition rate was 5.83%). All participants were ethnic Chinese, with an age range of 18&#x2013;23 years (<italic>M</italic> = 19.3; <italic>SD</italic> = 1.81). A divergent thinking test and a creative problem-solving test, together with other instruments, were administered to participants in a group setting with standard instructions using the participants&#x2019; mother language (i.e., Chinese). Approximately 10&#x2013;15 participants were tested at a time. The instruments were administered in counterbalanced order. <xref ref-type="table" rid="T2">Table 2</xref> presents the demographic statistics of the sample. There were no statistically significant differences between the two gender groups in terms of their age, GPA, education level, or socio-economic background, indicated by their parents&#x2019; level of education (all <italic>t</italic>-values &#x2264; 1.70; all <italic>p</italic>-values &#x003E; 0.05). The gender composition across the two groups was equivalent (<italic>&#x03C7;</italic><sup>2</sup> = 0.31, <italic>p</italic> = 0.58).</p>
<table-wrap position="float" id="T2">
<label>TABLE 2</label>
<caption><p>Demographic statistics of the sample.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Measure</td>
<td valign="top" align="center">Male</td>
<td valign="top" align="center">Female</td>
<td valign="top" align="center"><italic>t</italic></td>
<td valign="top" align="center"><italic>p</italic></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><bold>Age</bold></td>
<td/>
<td/>
<td valign="top" align="center"/>
<td/>
</tr>
<tr>
<td valign="top" align="left"><italic>M</italic></td>
<td valign="top" align="center">19.5</td>
<td valign="top" align="center">19.1</td>
<td valign="top" align="center">1.65</td>
<td valign="top" align="center">0.10</td>
</tr>
<tr>
<td valign="top" align="left"><italic>SD</italic></td>
<td valign="top" align="center">1.88</td>
<td valign="top" align="center">1.73</td>
<td valign="top" align="center"/>
<td/>
</tr>
<tr>
<td valign="top" align="left"><bold>GPA</bold></td>
<td/>
<td/>
<td valign="top" align="center"/>
<td/>
</tr>
<tr>
<td valign="top" align="left"><italic>M</italic></td>
<td valign="top" align="center">2.98</td>
<td valign="top" align="center">3.01</td>
<td valign="top" align="center">&#x2013;1.23</td>
<td valign="top" align="center">0.22</td>
</tr>
<tr>
<td valign="top" align="left"><italic>SD</italic></td>
<td valign="top" align="center">0.21</td>
<td valign="top" align="center">0.11</td>
<td valign="top" align="center"/>
<td/>
</tr>
<tr>
<td valign="top" align="left"><bold>Education (in years)</bold></td>
<td/>
<td/>
<td valign="top" align="center"/>
<td/>
</tr>
<tr>
<td valign="top" align="left"><italic>M</italic></td>
<td valign="top" align="center">13.5</td>
<td valign="top" align="center">13.1</td>
<td valign="top" align="center">1.70</td>
<td valign="top" align="center">0.09</td>
</tr>
<tr>
<td valign="top" align="left"><italic>SD</italic></td>
<td valign="top" align="center">1.69</td>
<td valign="top" align="center">1.49</td>
<td valign="top" align="center"/>
<td/>
</tr>
<tr>
<td valign="top" align="left"><bold>Father&#x2019;s education (in years)</bold></td>
<td/>
<td/>
<td valign="top" align="center"/>
<td/>
</tr>
<tr>
<td valign="top" align="left"><italic>M</italic></td>
<td valign="top" align="center">14.1</td>
<td valign="top" align="center">14.6</td>
<td valign="top" align="center">&#x2013;0.89</td>
<td valign="top" align="center">0.37</td>
</tr>
<tr>
<td valign="top" align="left"><italic>SD</italic></td>
<td valign="top" align="center">3.24</td>
<td valign="top" align="center">3.76</td>
<td valign="top" align="center"/>
<td/>
</tr>
<tr>
<td valign="top" align="left"><bold>Mother&#x2019;s education (in years)</bold></td>
<td/>
<td/>
<td valign="top" align="center"/>
<td/>
</tr>
<tr>
<td valign="top" align="left"><italic>M</italic></td>
<td valign="top" align="center">12.8</td>
<td valign="top" align="center">13.3</td>
<td valign="top" align="center">&#x2013;0.96</td>
<td valign="top" align="center">0.34</td>
</tr>
<tr>
<td valign="top" align="left"><italic>SD</italic></td>
<td valign="top" align="center">3.05</td>
<td valign="top" align="center">3.15</td>
<td valign="top" align="center"/>
<td/>
</tr>
<tr>
<td valign="top" align="left" colspan="5"><hr/></td>
</tr>
<tr>
<td valign="top" align="left"><bold>Gender distribution</bold></td>
<td/>
<td/>
<td valign="top" align="center"><bold><italic>&#x03C7;</italic><sup>2</sup></bold></td>
<td valign="top" align="center"><bold><italic>p</italic></bold></td>
</tr>
<tr>
<td valign="top" align="left" colspan="5"><hr/></td>
</tr>
<tr>
<td valign="top" align="left"><italic>N</italic></td>
<td valign="top" align="center">99</td>
<td valign="top" align="center">107</td>
<td valign="top" align="center">0.31</td>
<td valign="top" align="center">0.58</td>
</tr>
<tr>
<td valign="top" align="left"><italic>%</italic></td>
<td valign="top" align="center">48.1</td>
<td valign="top" align="center">51.9</td>
<td valign="top" align="center"/>
<td/>
</tr>
</tbody>
</table></table-wrap>
</sec>
<sec id="S2.SS2">
<title>Instruments</title>
<sec id="S2.SS2.SSS1">
<title>Divergent Thinking Test</title>
<p>The WKCT (<xref ref-type="bibr" rid="B80">Wallach and Kogan, 1965</xref>) was applied to assess divergent thinking in the present study for the following two reasons: (1) It is a commonly used divergent thinking test to assess the creative process of idea generation (<xref ref-type="bibr" rid="B4">Antonietti and Iannello, 2008</xref>); and (2) it has well-supported psychometric properties and applicability in Hong Kong Chinese samples (<xref ref-type="bibr" rid="B14">Cheung et al., 2004</xref>). The WKCT and its instructions were adapted and translated into Chinese using a back-translation procedure. The initial translation was prepared by a researcher who was bilingual in English and Chinese. The back-translation process was then conducted by two academics who were fluent in both English and Chinese, and were familiar with the literature on creativity. The final translated version was confirmed after discussions and modifications.</p>
<p>The Chinese-adapted WKCT applied in the present study consisted of both verbal and figural test items (<xref ref-type="bibr" rid="B80">Wallach and Kogan, 1965</xref>). The verbal test items included instances (&#x201C;Name as many things as possible that have wheels&#x201D;) and alternate uses (&#x201C;Name as many different ways as possible that you could use a newspaper&#x201D;), and the figural test items included pattern meanings and line meanings, for which respondents were required to name as many things or meanings as possible that the given pattern or line made them think of. Two criteria were applied for the selection of test items. First, they should be items that demonstrated well-supported validity and applicability in Hong Kong Chinese samples based on the study of <xref ref-type="bibr" rid="B14">Cheung et al. (2004)</xref>. Second, these selected items should have demonstrated a moderate difficulty level (in terms of the number of responses generated) in a pilot study with 50 undergraduate students (54% female; <italic>M</italic><sub><italic>age</italic></sub> = 19.7 years; <italic>SD</italic> = 2.14 years). Complying with the specifications for administrations of the test (<xref ref-type="bibr" rid="B80">Wallach and Kogan, 1965</xref>), the test was conducted in a relaxing, game-like atmosphere, in which participants were given five minutes to respond to each item; hence, a total of 20 min were allowed to complete the WKCT. The participants were assured that there were no model answers and that their responses could be anything they thought of.</p>
<p>The WKCT was scored according to the four indexes of divergent thinking; namely, fluency, flexibility, originality, and elaboration (<xref ref-type="bibr" rid="B51">Kleibeuker et al., 2013</xref>). First, fluency was the total number of non-redundant responses provided per participant. Second, flexibility was the number of different categories in which the given responses could be categorized. For instance, in the task &#x201C;Name as many things as possible that have wheels&#x201D;, if a participant gave responses such as &#x201C;a bus, a car, a van, and one&#x2019;s mind&#x201D;, he or she would be given a flexibility score of two &#x2013; one point for responses in the category of transportation and the other point for the response in a non-transportation category for the answer &#x201C;one&#x2019;s mind.&#x201D; Third, originality was rated with reference to all valid responses in the sample, with two points being awarded to responses provided by 1% or less of the respondents and one point to responses provided by 2% to 5% of the respondents (and zero points for responses given by 6% or more of the respondents). The originality ratings of all responses were then summed to reach the ultimate originality score. Finally, elaboration was scored according to the amount of detail provided in a response. Using the same example question about things with wheels, the answer &#x201C;a taxi&#x201D; would be given zero points for the elaboration rating, whereas the answer &#x201C;a red taxi&#x201D; and &#x201C;a red taxi speeding down the street&#x201D; would get an elaboration rating score of one and two, respectively. Similar to the scoring of originality, the ultimate elaboration score was the total of the elaboration ratings of all responses.</p>
<p>All responses were coded by an experienced female researcher in creativity. A second male coder rated 100 protocols to perform an inter-rater reliability assessment. The results of the intraclass correlation coefficients (ICCs) indicated that the test had good inter-rater reliability, with all ICC values being greater than 0.86 (<italic>p</italic> &#x003C; 0.001; <xref ref-type="table" rid="T3">Table 3</xref>), suggesting gender has no bias impact on the ratings. Moreover, the measure obtained good internal consistency for the entire sample (<italic>&#x03B1;</italic> = 0.79&#x2013;0.83, <italic>p</italic>s &#x003C; 0.01; <xref ref-type="table" rid="T3">Table 3</xref>), which was comparable to the statistics reported in past studies, supporting the psychometric properties of the test (e.g., <italic>&#x03B1;</italic> = 0.82&#x2013;0.92 in <xref ref-type="bibr" rid="B13">Cheung and Lau, 2010</xref>; <italic>&#x03B1;</italic> = 0.80 in <xref ref-type="bibr" rid="B82">Warren et al., 2018</xref>).</p>
<table-wrap position="float" id="T3">
<label>TABLE 3</label>
<caption><p>Intraclass Correlation Coefficients (ICC) of the WKCT, and the descriptive statistics, Cronbach&#x2019;s alpha coefficients (&#x03B1;), and correlation coefficients of the two creativity measures.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Creativity measures</td>
<td/>
<td/>
<td valign="top" align="center" colspan="10"><italic>Correlation coefficients (Cronbach&#x2019;s alpha)</italic><hr/></td>
</tr>
<tr>
<td/>
<td valign="top" align="center">ICC</td>
<td valign="top" align="center"><italic>M</italic> (<italic>SD</italic>)</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">7</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">10</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><bold>Divergent thinking</bold></td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Figural fluency</td>
<td valign="top" align="center">0.91&#x002A;&#x002A;&#x002A;</td>
<td valign="top" align="center">35.5 (10.5)</td>
<td valign="top" align="center">(0.82&#x002A;&#x002A;)</td>
<td valign="top" align="center">0.32&#x002A;&#x002A;</td>
<td valign="top" align="center">0.32&#x002A;&#x002A;</td>
<td valign="top" align="center">0.33&#x002A;&#x002A;</td>
<td valign="top" align="center">0.27&#x002A;&#x002A;</td>
<td valign="top" align="center">0.18&#x002A;&#x002A;</td>
<td valign="top" align="center">0.18&#x002A;</td>
<td valign="top" align="center">0.20&#x002A;</td>
<td valign="top" align="center">0.11</td>
<td valign="top" align="center">0.08</td>
</tr>
<tr>
<td valign="top" align="left">Figural flexibility</td>
<td valign="top" align="center">0.86&#x002A;&#x002A;&#x002A;</td>
<td valign="top" align="center">10.1 (2.99)</td>
<td/>
<td valign="top" align="center">(0.80&#x002A;)</td>
<td valign="top" align="center">0.31&#x002A;&#x002A;</td>
<td valign="top" align="center">0.33&#x002A;&#x002A;</td>
<td valign="top" align="center">0.20&#x002A;</td>
<td valign="top" align="center">0.24&#x002A;&#x002A;</td>
<td valign="top" align="center">0.20&#x002A;</td>
<td valign="top" align="center">0.29&#x002A;&#x002A;</td>
<td valign="top" align="center">0.18&#x002A;</td>
<td valign="top" align="center">0.13</td>
</tr>
<tr>
<td valign="top" align="left">Figural originality</td>
<td valign="top" align="center">1.00&#x002A;&#x002A;&#x002A;</td>
<td valign="top" align="center">7.17 (2.29)</td>
<td/>
<td/>
<td valign="top" align="center">(0.80&#x002A;)</td>
<td valign="top" align="center">0.30&#x002A;&#x002A;</td>
<td valign="top" align="center">0.18&#x002A;</td>
<td valign="top" align="center">0.16&#x002A;</td>
<td valign="top" align="center">0.19&#x002A;</td>
<td valign="top" align="center">0.22&#x002A;</td>
<td valign="top" align="center">0.13</td>
<td valign="top" align="center">0.11</td>
</tr>
<tr>
<td valign="top" align="left">Figural elaboration</td>
<td valign="top" align="center">0.89&#x002A;&#x002A;&#x002A;</td>
<td valign="top" align="center">39.6 (11.0)</td>
<td/>
<td/>
<td/>
<td valign="top" align="center">(0.80&#x002A;)</td>
<td valign="top" align="center">16&#x002A;</td>
<td valign="top" align="center">0.15&#x002A;</td>
<td valign="top" align="center">0.18&#x002A;</td>
<td valign="top" align="center">0.18&#x002A;</td>
<td valign="top" align="center">0.09</td>
<td valign="top" align="center">0.11</td>
</tr>
<tr>
<td valign="top" align="left">Verbal fluency</td>
<td valign="top" align="center">0.93&#x002A;&#x002A;&#x002A;</td>
<td valign="top" align="center">34.2 (11.1)</td>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center">(0.81&#x002A;&#x002A;)</td>
<td valign="top" align="center">0.32&#x002A;&#x002A;</td>
<td valign="top" align="center">0.32&#x002A;&#x002A;</td>
<td valign="top" align="center">0.30&#x002A;&#x002A;</td>
<td valign="top" align="center">0.08</td>
<td valign="top" align="center">0.10</td>
</tr>
<tr>
<td valign="top" align="left">Verbal flexibility</td>
<td valign="top" align="center">0.88&#x002A;&#x002A;&#x002A;</td>
<td valign="top" align="center">10.3 (2.94)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center">(0.83&#x002A;&#x002A;)</td>
<td valign="top" align="center">0.31&#x002A;&#x002A;</td>
<td valign="top" align="center">0.29&#x002A;&#x002A;</td>
<td valign="top" align="center">0.13</td>
<td valign="top" align="center">0.17&#x002A;</td>
</tr>
<tr>
<td valign="top" align="left">Verbal originality</td>
<td valign="top" align="center">1.00&#x002A;&#x002A;&#x002A;</td>
<td valign="top" align="center">7.30 (2.62)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center">(0.80&#x002A;)</td>
<td valign="top" align="center">0.30&#x002A;&#x002A;</td>
<td valign="top" align="center">0.11</td>
<td valign="top" align="center">0.13</td>
</tr>
<tr>
<td valign="top" align="left">Verbal elaboration</td>
<td valign="top" align="center">0.87&#x002A;&#x002A;&#x002A;</td>
<td valign="top" align="center">36.6 (10.8)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center">(0.79&#x002A;)</td>
<td valign="top" align="center">0.09</td>
<td valign="top" align="center">0.12</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Creative problem solving ()</bold></td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Figural CPS</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">60.1 (17.5)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center">(0.70&#x002A;)</td>
<td valign="top" align="center">0.65&#x002A;&#x002A;</td>
</tr>
<tr>
<td valign="top" align="left">Verbal CPS</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">62.7 (20.2)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center">(0.71&#x002A;)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<attrib><italic>&#x002A;<italic>p</italic> &#x003C; 0.05; &#x002A;&#x002A;<italic>p</italic> &#x003C; 0.01; &#x002A;&#x002A;&#x002A;<italic>p</italic> &#x003C; 0.001.</italic></attrib>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="S2.SS2.SSS2">
<title>Creative Problem Solving</title>
<p>The 10 test items of creative problem solving (five verbal problems and five figural problems) used in <xref ref-type="bibr" rid="B56">Lin et al.(2012</xref>, pp. 122-123) were employed in the present study for the following three reasons: (1) They showed a moderate difficulty level (with an accuracy rate ranging between 25% and 75%) for samples consisting of Chinese university students; (2) their applicability in Chinese student samples was supported; and (3) they fulfilled the criterion of pure insight problems that require a mental process of reconstruction (<xref ref-type="bibr" rid="B84">Weisberg, 2015</xref>). A sample item of the verbal problems, entitled &#x201C;the magician problem&#x201D;, was formulated as follows: &#x201C;A magician claimed to be able to throw a ping pong ball so that it would go a short distance, come to a dead stop, and then reverse itself. He also added that he would not bounce the ball against any object or tie anything to it. How could he perform this feat?&#x201D; A sample item of the figural problems, entitled &#x201C;the pigpen problem&#x201D;, described the task in the following way: &#x201C;Nine pigs are kept in a square pen. Build two more square enclosures that would put each pig in a pen by itself&#x201D; (see <xref ref-type="table" rid="T1">Table 1</xref> for the figural illustration of the pigpen problem).</p>
<p>The test items were translated into Chinese using a back-translation procedure, as described in Section &#x201C;Divergent Thinking Test.&#x201D; Following the procedure of <xref ref-type="bibr" rid="B56">Lin et al. (2012)</xref>, participants were given 20 min to complete the task in the main study. At the end of the test, participants were also asked to indicate if they had known the answers to any of the problems due to past experience or knowledge. The performance scores for creative problem solving were calculated as the percentage of unfamiliar problems that were answered correctly within the verbal and figural items. The Cronbach&#x2019;s alpha coefficients obtained in the present sample were 0.71 and 0.70 for the scores for the verbal and figural items, respectively (<italic>p</italic>-values &#x003C; 0.01; see <xref ref-type="table" rid="T3">Table 3</xref>).</p>
</sec>
</sec>
</sec>
<sec id="S3">
<title>Results</title>
<sec id="S3.SS1">
<title>Testing of Assumptions</title>
<p>Several assumptions were examined prior to testing the hypotheses.</p>
<sec id="S3.SS1.SSS1">
<title>Correlations Between the Two Measures of Creativity</title>
<p>First, a bivariate correlation analysis was conducted to examine the relationship between the participants&#x2019; performance on the divergent thinking test and the creative problem-solving test, in order to determine to what extent these two measures of creativity were correlated with each other. The correlation coefficients shown in <xref ref-type="table" rid="T3">Table 3</xref> suggest that individuals&#x2019; performance on these two tests was not correlated in most indexes. Among the 18 correlation coefficients, 16 (89%) showed statistically insignificant results (<italic>r</italic>s = 0.08&#x2013;0.13). In the remaining two coefficients (11%) that showed statistical significance at <italic>p</italic> &#x003C; 0.05, the extent of the correlation was small; figural flexibility demonstrated a weak correlation with figural creative problem solving (<italic>r</italic> = 0.18), whereas verbal flexibility exhibited a weak correlation with verbal creative problem solving (<italic>r</italic> = 0.17). These results were consistent with those of past studies (<xref ref-type="bibr" rid="B56">Lin et al., 2012</xref>; <xref ref-type="bibr" rid="B83">Webb et al., 2017</xref>) and implied that the instruments used in this study represented two distinct types of creativity measures.</p>
</sec>
<sec id="S3.SS1.SSS2">
<title>The Confounding Effect of Fluency in Divergent Thinking Scores</title>
<p>Second, because score variances are important in the testing of the greater male variability hypothesis, it is necessary to examine if the fluency scores show overlap of variation (or artifactual correlations) with those of flexibility, originality, and elaboration due to the scoring method applied, given that participants were instructed to generate as many responses as possible in the divergent thinking test (see section &#x201C;Divergent Thinking Test&#x201D;). Following <xref ref-type="bibr" rid="B25">Forthmann et al.(2020</xref>; p. 99), the below formula was applied to calculate the expected correlations based on the assumption that the average scores of other divergent thinking indexes (e.g., originality divided by fluency) and fluency were independent:</p>
<disp-formula id="S3.Ex1">
<mml:math id="M1">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>r</mml:mi>
<mml:mo stretchy="false">^</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>H</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mover accent="true">
<mml:mi>H</mml:mi>
<mml:mo stretchy="false">&#x00AF;</mml:mo>
</mml:mover>
<mml:mover accent="true">
<mml:mi>T</mml:mi>
<mml:mo stretchy="false">&#x00AF;</mml:mo>
</mml:mover>
</mml:mfrac>
<mml:mo>&#x2062;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>s</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>s</mml:mi>
<mml:mi>H</mml:mi>
</mml:msub>
</mml:mfrac>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>H</italic>-bar and <italic>T</italic>-bar denote the sample means and <italic>s</italic> the sample <italic>SD</italic>s, and a <inline-formula><mml:math id="INEQ5"><mml:mover accent="true"><mml:mi>r</mml:mi><mml:mo stretchy="false">^</mml:mo></mml:mover></mml:math></inline-formula> greater than 1.0 indicates an overlap (see <xref ref-type="table" rid="T3">Table 3</xref> for the sample means and <italic>SD</italic>s). The calculated results revealed that an overlap of variation was observed between fluency and some of the other divergent thinking scores. For the figural domain, a <inline-formula><mml:math id="INEQ6"><mml:mover accent="true"><mml:mi>r</mml:mi><mml:mo stretchy="false">^</mml:mo></mml:mover></mml:math></inline-formula> greater than 1.0 was found between fluency and elaboration (<inline-formula><mml:math id="INEQ7"><mml:mover accent="true"><mml:mi>r</mml:mi><mml:mo stretchy="false">^</mml:mo></mml:mover></mml:math></inline-formula> = 1.06). For the verbal domain, a <inline-formula><mml:math id="INEQ8"><mml:mover accent="true"><mml:mi>r</mml:mi><mml:mo stretchy="false">^</mml:mo></mml:mover></mml:math></inline-formula> greater than 1.0 was found between fluency and flexibility (<inline-formula><mml:math id="INEQ9"><mml:mover accent="true"><mml:mi>r</mml:mi><mml:mo stretchy="false">^</mml:mo></mml:mover></mml:math></inline-formula> = 1.14) as well as elaboration (<inline-formula><mml:math id="INEQ10"><mml:mover accent="true"><mml:mi>r</mml:mi><mml:mo stretchy="false">^</mml:mo></mml:mover></mml:math></inline-formula> = 1.10). The results appeared to suggest that the correlations between any of these other divergent thinking scores and fluency might be a mix of actual and artifactual correlation (<xref ref-type="bibr" rid="B25">Forthmann et al., 2020</xref>). Hence, fluency would be applied as the sole indicator of divergent thinking in the present study for subsequent analyses (<xref ref-type="bibr" rid="B64">Reiter-Palmon et al., 2019</xref>).</p>
</sec>
<sec id="S3.SS1.SSS3">
<title>Confirmatory Factor Analysis and Testing of Measurement Invariance</title>
<p>Third, a confirmatory factor analysis (CFA) was performed to investigate the construct validity of the divergent thinking and the creative problem solving. For divergent thinking, a two-factor model was tested, with two items loading on figural or verbal fluency (see <xref ref-type="fig" rid="F1">Figure 1</xref>). The fit indexes of the resulting model (<italic>CFI</italic> = 0.9471, <italic>TLI</italic> = 0.9562, <italic>RMSEA</italic> = 0.0463, <italic>SRMR</italic> = 0.0455, <italic>&#x03C7;</italic><sup>2</sup> = 12.9, <italic>df</italic> = 1, <italic>p</italic> &#x003C; 0.01) were regarded as acceptable. With respect to creative problem solving, a two-factor model was tested, with five items loading on figural or verbal creative problem solving (see <xref ref-type="fig" rid="F2">Figure 2</xref>). The results of the fit indexes also suggest that the model fit the data well (<italic>CFI</italic> = 0.932, <italic>TLI</italic> = 0.920, <italic>RMSEA</italic> = 0.051, <italic>SRMR</italic> = 0.049, <italic>&#x03C7;</italic><sup>2</sup> = 85.1, <italic>df</italic> = 34, <italic>p</italic> &#x003C; 0.01).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>Measurement models for divergent thinking as indicated by figural and verbal fluency. &#x002A;&#x002A;<italic>p</italic> &#x003C; 0.01, &#x002A;&#x002A;&#x002A;<italic>p</italic> &#x003C; 0.001.</p></caption>
<graphic xlink:href="fpsyg-12-626911-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>Measurement models for figural and verbal creative problem solving (CPS). &#x002A;&#x002A;<italic>p</italic> &#x003C; 0.01, &#x002A;&#x002A;&#x002A;<italic>p</italic> &#x003C; 0.001.</p></caption>
<graphic xlink:href="fpsyg-12-626911-g002.tif"/>
</fig>
<p>To further test whether the construct validity of the scale is equally supported in both genders, we followed the procedures suggested by <xref ref-type="bibr" rid="B77">Vandenberg and Lance (2000)</xref> to test measurement invariance, with progressively restrictive stages. First, a configural invariance test was performed to establish a baseline model across the two gender groups, in which factor loadings, intercepts, and residuals were allowed to be estimated freely. Second, the metric invariance model was tested, in which all factor loadings were constrained the same across the groups. Finally, the scalar invariance model was tested, in which the factor loading and indicator intercepts were contrained to be the same across groups. <xref ref-type="bibr" rid="B11">Chen&#x2019;s (2007)</xref> recommendations of cutoff points for testing invariance were applied: for testing loading invariance, &#x0394;<italic>CFI</italic> &#x2264; &#x2212;0.005 supplemented by &#x0394;<italic>RMSEA</italic> &#x2265; 0.010 or &#x0394;<italic>SRMR</italic> &#x2265; 0.025 would indicate non-invariance; for testing intercept or residual invariance, &#x0394;<italic>CFI</italic> &#x2264; &#x2212;0.005 supplemented by &#x0394;<italic>RMSEA</italic> &#x2265; 0.010 or &#x0394;<italic>SRMR</italic> &#x2265; 0.005 would indicate non-invariance (p. 501).</p>
<p>The results of the fit statistics tended to support the idea that the structure of the scale was invariant across the two genders for both divergent thinking (configural invariance: <italic>CFI</italic> = 0.9462, <italic>TLI</italic> = 0.9560, <italic>RMSEA</italic> = 0.0471, <italic>SRMR</italic> = 0.0468; metric invariance: <italic>CFI</italic> = 0.9452, <italic>TLI</italic> = 0.9557, <italic>RMSEA</italic> = 0.0479, <italic>SRMR</italic> = 0.0648, scalar invariance invariance: <italic>CFI</italic> = 0.9444, <italic>TLI</italic> = 0.9556, <italic>RMSEA</italic> = 0.0559, <italic>SRMR</italic> = 0.0688) and creative problem solving (configural invariance: <italic>CFI</italic> = 0.9314, <italic>TLI</italic> = 0.9201, <italic>RMSEA</italic> = 0.0499, <italic>SRMR</italic> = 0.0505; metric invariance: <italic>CFI</italic> = 0.9304, <italic>TLI</italic> = 0.9204, <italic>RMSEA</italic> = 0.0544, <italic>SRMR</italic> = 0.0545; scalar invariance invariance: <italic>CFI</italic> = 0.9294, <italic>TLI</italic> = 0.9194, <italic>RMSEA</italic> = 0.0553, <italic>SRMR</italic> = 0.0546). The results regarding the strong invariance supported the idea that the factor means and variances could be applied in the subsequent analyses of gender differences.</p>
</sec>
</sec>
<sec id="S3.SS2">
<title>Variability Analyses</title>
<p>To test H1 and H2, variability analyses were performed on the factor scores of divergent thinking (using fluency as the indicator) and creative problem solving by applying the two operational indexes of greater male variability, including the use of male/female VR to test H1, and the use of male/female ratios in the upper and lower tails of score distributions to test H2. In relation to VR, <italic>F</italic>-tests of equality of variance were used to test for significant differences in the heterogeneity of the variances between the two genders. With respect to the male/female ratios in the distribution tails, chi-square tests were employed to test for significant differences in gender proportions in particular regions of the distribution. The results of the variability analyses are summarized in <xref ref-type="table" rid="T4">Table 4</xref>.</p>
<table-wrap position="float" id="T4">
<label>TABLE 4</label>
<caption><p>Results of gender differences in factorial means and variability of divergent thinking (DT) and creative problem solving (CPS).</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center" colspan="2">Factor means (variances)<hr/></td>
<td/>
<td/>
<td valign="top" align="center" colspan="4">Male/female ratio in tails (<italic>&#x03C7;</italic><sup>2</sup>)<hr/></td>
</tr>
<tr>
<td/>
<td valign="top" align="center">Male (<italic>n</italic> = 99)</td>
<td valign="top" align="center">Female (<italic>n</italic> = 107)</td>
<td valign="top" align="center"><italic>d</italic> (<italic>t</italic>-value<sup><italic>a</italic></sup>)</td>
<td valign="top" align="center"><italic>VR</italic> (<italic>F</italic>-value)</td>
<td valign="top" align="center">Lowest 5%</td>
<td valign="top" align="center">Lowest 10%</td>
<td valign="top" align="center">Top 10%</td>
<td valign="top" align="center">Top 5%</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Figural DT</td>
<td valign="top" align="center">34.6 (148.6)</td>
<td valign="top" align="center">36.6 (86.7)</td>
<td valign="top" align="center">&#x2212;0.18 (&#x2212;1.75)</td>
<td valign="top" align="center">1.71 (5.68&#x002A;)</td>
<td valign="top" align="center">4.26 (4.09&#x002A;)</td>
<td valign="top" align="center">1.69 (1.33)</td>
<td valign="top" align="center">2.54 (1.93)</td>
<td valign="top" align="center">6.82 (6.15&#x002A;&#x002A;)</td>
</tr>
<tr>
<td valign="top" align="left">Verbal DT</td>
<td valign="top" align="center">30.9 (106.3)</td>
<td valign="top" align="center">33.3 (107.5)</td>
<td valign="top" align="center">&#x2212;0.23 (&#x2212;2.72)</td>
<td valign="top" align="center">0.99 (2.67)</td>
<td valign="top" align="center">5.84 (6.22&#x002A;)</td>
<td valign="top" align="center">4.25 (4.53)</td>
<td valign="top" align="center">0.98 (0.01)</td>
<td valign="top" align="center">0.78 (0.26)</td>
</tr>
<tr>
<td valign="top" align="left">Figural CPS</td>
<td valign="top" align="center">60.5 (358.1)</td>
<td valign="top" align="center">56.0 (203.5)</td>
<td valign="top" align="center">0.27 (3.37)</td>
<td valign="top" align="center">1.76 (5.92&#x002A;)</td>
<td valign="top" align="center">4.79 (5.02&#x002A;)</td>
<td valign="top" align="center">2.46 (2.34)</td>
<td valign="top" align="center">2.54 (1.25)</td>
<td valign="top" align="center">5.32 (5.98&#x002A;)</td>
</tr>
<tr>
<td valign="top" align="left">Verbal CPS</td>
<td valign="top" align="center">62.4 (494.3)</td>
<td valign="top" align="center">61.0 (322.1)</td>
<td valign="top" align="center">0.07 (0.26)</td>
<td valign="top" align="center">1.53 (5.16&#x002A;)</td>
<td valign="top" align="center">5.32 (5.98&#x002A;)</td>
<td valign="top" align="center">3.25 (3.49)</td>
<td valign="top" align="center">0.95 (0.02)</td>
<td valign="top" align="center">1.08 (0.01)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<attrib><italic>&#x002A;<italic>p</italic> &#x003C; 0.05, &#x002A;&#x002A;<italic>p</italic> &#x003C; 0.01. <sup><italic>a</italic></sup>Bonferroni procedures were used to adjust for multiple comparisons.</italic></attrib>
</table-wrap-foot>
</table-wrap>
<sec id="S3.SS2.SSS1">
<title>Results of VRs</title>
<p>As shown in <xref ref-type="table" rid="T4">Table 4</xref>, the predicted pattern of VRs greater than 1.0 was observed in figural divergent thinking (VR = 1.71) but not in verbal divergent thinking (VR = 0.99). The results of <italic>F</italic> tests of equality of variance illustrated that men showed significantly larger variances than women in figural divergent thinking (<italic>F</italic> [1, 204] = 5.68, <italic>p</italic> &#x003C; 0.05). These results suggest that H1 was supported in the figural domain, but not in the verbal domain, of divergent thinking. For creative problem solving, a VR greater than 1.0 was observed in both of the figural (VR = 1.76) and verbal (VR = 1.53) domains, lending support to H1. The results of <italic>F</italic> tests of equality of variance indicated that significantly larger variances were found for men than for women in both figural and verbal creative problem solving (<italic>F</italic> [1, 204] = 5.16&#x2013;5.92, <italic>p</italic> &#x003C; 0.05).</p>
</sec>
<sec id="S3.SS2.SSS2">
<title>Results of Male/Female Ratios in the Distribution Tails</title>
<p>With respect to the results of the male/female ratio in the extremes of the score distributions, as presented in <xref ref-type="table" rid="T4">Table 4</xref>, the expected pattern of H2 was observed in the lowest 5% to 10% of the regions of score distribution for both divergent thinking (male/female ratio = 1.69&#x2013;5.84) and creative problem solving (male/female ratio = 2.46&#x2013;5.32) in the figural and verbal domains. The results of chi-square tests further revealed that significantly more men than women were represented in the lowest 5% of the score distribution of divergent thinking and creative problem solving (<italic>&#x03C7;</italic><sup>2</sup> values &#x2265; 4.09, <italic>p</italic>-values &#x003C; 0.05).</p>
<p>Focusing on the top 5% to 10% of the regions, inconsistent results were found. On the one hand, H2 was supported in the figural domain of divergent thinking and creative problem solving, in which a male/female ratio greater than 1.0 was found for the top 5% to 10% of the score distribution (divergent thinking: male/female ratio = 2.54&#x2013;6.82; creative problem solving: male/female ratio = 2.54&#x2013;5.32). On the other hand, mixed results were observed for the verbal domain, in which the predicted pattern of H2 was only observed for the top 5% of the score distribution of verbal creative thinking (male/female ratio = 1.08). A contradictory pattern (i.e., a male/female ratio &#x003C; 1.0) was found for the top 5% to 10% of the score distribution for verbal divergent thinking (male/female ratio = 0.78&#x2013;0.98), and the top 10% of the score distribution of verbal creative problem solving (male/female ratio = 0.95), which suggests greater female representation in these regions. The results of the chi-square tests revealed that significantly greater male representation was found in the top 5% of the regions for figural divergent thinking and figural creative problem solving (<italic>&#x03C7;</italic><sup>2</sup> values &#x2265; 5.32, <italic>p</italic>-values &#x003C; 0.05).</p>
</sec>
</sec>
<sec id="S3.SS3">
<title>Mean Analyses</title>
<p>Because gender differences in variability could be related to or independent of mean differences (<xref ref-type="bibr" rid="B5">Arden and Plomin, 2006</xref>), and both variability and mean analyses are necessary to generate a more complete picture with respect to the understanding of the gender-creativity link (<xref ref-type="bibr" rid="B34">He and Wong, 2011</xref>; <xref ref-type="bibr" rid="B47">Karwowski et al., 2016a</xref>; <xref ref-type="bibr" rid="B33">He, 2018</xref>), we also performed a multivariate analysis of variance (MANOVA) to examine whether there were gender differences in the factor means of divergent thinking and creative problem solving. The results of <italic>t</italic>-values and Cohen&#x2019;s <italic>d</italic>s, summarized in <xref ref-type="table" rid="T4">Table 4</xref>, suggest a general pattern of trivial gender differences in the mean scores, in which no statistically significant gender differences were found for all factor means of divergent thinking and creative problem solving (<italic>t</italic>-values &#x2264; 3.37; <italic>n.s</italic>.). Cohen&#x2019;s <italic>d</italic>s ranged between 0.07 and 0.27, suggesting that the effect sizes were near zero or were small (<xref ref-type="bibr" rid="B15">Cohen, 1988</xref>).</p>
</sec>
</sec>
<sec id="S4">
<title>Discussion</title>
<p>Adding to previous research regarding greater male variability in creativity, in which the TCT&#x2013;DP has been applied as the predominant measure of creativity (<xref ref-type="bibr" rid="B34">He and Wong, 2011</xref>; <xref ref-type="bibr" rid="B48">Karwowski et al., 2016b</xref>; <xref ref-type="bibr" rid="B33">He, 2018</xref>), the present study extended this line of research to examine greater male variability in creativity by using two further measures of creativity: a divergent thinking test and a creative problem-solving test. Extending the study of greater male variability by using distinct measures of creativity may enrich this line of research by: (1) displaying the gendered patterns of distributions of various creativity scores that feature distinct aspects of creativity; and (2) validating the greater male variability hypothesis in creativity in a more comprehensive way through measuring the construct based on multiple psychometric approaches.</p>
<p>Three interesting findings were observed. First, our results of VRs revealed a general pattern that men show greater variances than women in creativity. Second, by using creativity instruments that consist of both figural and verbal test items, our results further illustrated domain-specific gendered patterns in the distribution of creativity scores, which suggest that greater male variability was more likely to occur, and with a larger effect size, in the figural domain than in the verbal domain of divergent thinking and creative problem solving. Third, our results regarding gender composition (i.e., male/female ratios) in the extremes of the score distributions also suggest interesting domain-specific gendered patterns in the upper tails, despite a consistent pattern of greater male representation in the lower tails of the distribution. More details of these findings are discussed below.</p>
<sec id="S4.SS1">
<title>The Results of VRs Tended to Support Greater Male Variability</title>
<p>Our results of VRs tended to support a general pattern of greater male variance in the overall distribution of the creativity scores in both divergent thinking and creative problem solving, with 75% of the obtained VRs in divergent thinking and creative problem solving showing a value greater than 1.0. Previous studies that investigated greater male variability in creativity using the TCT&#x2013;DP reported similar findings that 73% to 100% of the obtained VRs were above 1.0 (e.g., <xref ref-type="bibr" rid="B34">He and Wong, 2011</xref>; <xref ref-type="bibr" rid="B36">He et al., 2013</xref>, <xref ref-type="bibr" rid="B32">2015</xref>; <xref ref-type="bibr" rid="B43">Ju et al., 2015</xref>; <xref ref-type="bibr" rid="B47">Karwowski et al.,2016a,b</xref>).</p>
<p>The empirical findings regarding the relatively consistent pattern of VRs above 1.0 were also in line with the findings generated from large-scale meta-analyses that examined the greater male variability hypothesis based on national or international data drawn from representative samples. For example, <xref ref-type="bibr" rid="B22">Feingold (1992)</xref> reported an overall rate of 86% of VRs greater than 1.0 in four norming studies of aptitude tests. In large national samples, <xref ref-type="bibr" rid="B61">Nowell and Hedges (1998)</xref> found that 95 to 100% of the VRs were greater than 1.0 in the mental test scores. Other researchers also found that 93 to 95% of the VRs greater than 1.0 in the analyses of more recently available data collected with international assessments, including the Programme for International Student Assessment (PISA), the Progress in International Reading Literacy Study (PIRLS), and the Trends in International Mathematics and Science Study (TIMSS; <xref ref-type="bibr" rid="B8">Bayer and Monseur, 2016</xref>; <xref ref-type="bibr" rid="B26">Gray et al., 2019</xref>). Joining this body of research, our results of VRs in divergent thinking and creative problem solving lent further empirical support to the greater male variability hypothesis postulated by <xref ref-type="bibr" rid="B20">Ellis (1894/1934)</xref>.</p>
<p>The consistent observation regarding greater male variance in the overall distribution in ability scores is interesting, despite increasing evidence showing greater gender similarities (<xref ref-type="bibr" rid="B40">Hyde et al., 2008</xref>; <xref ref-type="bibr" rid="B39">Hyde, 2014</xref>) or even female superiority in some cases (<xref ref-type="bibr" rid="B55">Lietz, 2006</xref>; <xref ref-type="bibr" rid="B26">Gray et al., 2019</xref>). In the present study, the results of mean comparisons of the scores of divergent thinking and creative problem solving also showed a pattern of gender similarity, with Cohen&#x2019;s <italic>d</italic>s ranging between 0.07 and 0.27, suggesting that the effect sizes were near zero or were small (<xref ref-type="bibr" rid="B15">Cohen, 1988</xref>). These findings buttress the methodological stance that highlights the necessity of including both mean and variability analyses to generate a more complete picture regarding gender differences (<xref ref-type="bibr" rid="B34">He and Wong, 2011</xref>; <xref ref-type="bibr" rid="B33">He, 2018</xref>).</p>
</sec>
<sec id="S4.SS2">
<title>Domain-Specific Gendered Patterns Found in Overall Score Distributions</title>
<p>The findings of this study also revealed a domain-specific gendered pattern in VRs, which enriches the discourse regarding the greater male variability hypothesis in creativity by showing the gender effect regarding greater male variability in terms of (1) the probability of occurrence and (2) the magnitude or the effect size of the difference. Referring to the probability of occurrence, our VR results suggest that greater male variability appeared to be more likely to occur in the figural modality of creativity, in which 100% of the VRs for the figural domain of divergent thinking and creative problem solving had a value greater than 1.0. However, for the verbal modality of such creativity, only 50% of the VRs exhibited a value greater than 1.0.</p>
<p>With reference to effect size, we followed <xref ref-type="bibr" rid="B22">Feingold&#x2019;s (1992)</xref> rule of thumb with respect to the interpretation of the magnitude regarding the gender difference in variance. For example, a VR of 1.20 would indicate that men showed larger variance than women for 20% of the effect size, and an average of several VRs (e.g., 1.17 = [1.40 + 1.10 + 1.01]/3) indicates that men generally showed larger variance than women by 17%. By applying <xref ref-type="bibr" rid="B22">Feingold&#x2019;s (1992)</xref> method, we found that men, on average, showed 74% more variance than women in the figural domain of divergent thinking and creative problem solving. However, relatively smaller effect sizes were found for the verbal domain in regard to such creativities, in which men, on average, showed 26% more variance than women. The domain-specific findings of the present study with respect to the occurrence and the effect size of greater male variability are in congruence with the results reported in <xref ref-type="bibr" rid="B53">Lau and Cheung (2015)</xref>, which examined greater male variance in creativity by using a divergent thinking test (i.e., the WKCT). <xref ref-type="bibr" rid="B53">Lau and Cheung (2015)</xref> also found that greater male variability was more likely to be observed in responses to figural stimuli than to verbal stimuli, while equal variability or greater female variability were more likely to be observed in responses to verbal stimuli.</p>
<p>Interpreting the domain-specific findings of the present study was interesting in light of the results of previous studies that have examined greater male variability using the TCT&#x2013;DP. Owing to its nature of assessing creativity via performance in drawing production, which is completed by any combination of the six given figural fragments (<xref ref-type="bibr" rid="B76">Urban and Jellen, 1995/2010</xref>), the TCT&#x2013;DP is regarded as a figural form of creativity test (<xref ref-type="bibr" rid="B74">Urban, 1991</xref>, <xref ref-type="bibr" rid="B75">2004</xref>; <xref ref-type="bibr" rid="B60">Mullineaux and Dilalla, 2009</xref>). Past studies applying the TCT&#x2013;DP generally documented a relatively high occurrence (i.e., 73% to 100%) of the obtained VRs being greater than 1.0 and a relatively large effect size, showing that men displayed more variance than women did, with a range between 17% and 89% (VR = 1.30, <xref ref-type="bibr" rid="B36">He et al., 2013</xref>; VR = 1.85&#x2013;1.88 [except for young children], <xref ref-type="bibr" rid="B32">He et al., 2015</xref>; VR = 1.17, <xref ref-type="bibr" rid="B43">Ju et al., 2015</xref>; VR = 1.82, <xref ref-type="bibr" rid="B47">Karwowski et al., 2016a</xref>; VR = 1.21&#x2013;1.89, <xref ref-type="bibr" rid="B48">Karwowski et al., 2016b</xref>). Greater male variability found in the figural domain of creativity of the present study was in line with the above empirical findings using the TCT-DP. The measures applied in the present study enabled us to take a further step in directly comparing the patterns of creativity scores in figural and verbal forms. The current findings regarding the VRs in the scores of divergent thinking and creative problem solving, when considered simultaneously, appeared to suggest the conclusion that modalities (verbal and figural) of creativity have an impact on the gendered patterns of variability, in which greater male variability was more likely to be observed in the figural domain of creativity, with larger effect sizes, when compared with the verbal domain.</p>
<p>Intriguingly, the domain-specific gendered pattern in variance appeared not to be an unusual phenomenon in the literature regarding gender differences in cognitive ability, in regard to which men usually showed greater variability in quantitative, spatial, and mathematical abilities, but showed equal variability in verbal ability, compared to women (<xref ref-type="bibr" rid="B58">Maccoby and Jacklin, 1974</xref>; <xref ref-type="bibr" rid="B22">Feingold, 1992</xref>; <xref ref-type="bibr" rid="B71">Strand et al., 2006</xref>; <xref ref-type="bibr" rid="B57">Lohman and Lakin, 2009</xref>). Our research concurs with previous studies that have shown greater male variability using the WKCT (<xref ref-type="bibr" rid="B53">Lau and Cheung, 2015</xref>) and the TCT&#x2013;DP (<xref ref-type="bibr" rid="B34">He and Wong, 2011</xref>; <xref ref-type="bibr" rid="B36">He et al., 2013</xref>, <xref ref-type="bibr" rid="B32">2015</xref>; <xref ref-type="bibr" rid="B43">Ju et al., 2015</xref>; <xref ref-type="bibr" rid="B47">Karwowski et al.,2016a,b</xref>); together, our research and previous studies provide empirical support to expand the list of cognitive abilities by including creativity, which may show domain-specific patterns in the differences in gender variability. Altogether, these findings seem to suggest that greater male variability may not be a uniform and unitary phenomenon across all sorts of human cognitive abilities. A simple solution may not be sufficient to address the complex issue regarding gender differences in variability. Whether or not, or how well, the greater male variability hypothesis is supported would depend on the modalities of the test content used and the responses required, as well as the domain of the abilities of concern.</p>
</sec>
<sec id="S4.SS3">
<title>Domain-Specific Gendered Patterns in the Upper Tails of the Distributions</title>
<p>Another important finding of the present study concerns the domain-specific gendered patterns regarding gender composition (i.e., male/female ratios) in the tails of the creativity score distributions. Overall, the findings appeared to suggest that the greater male variability hypothesis was relatively well supported for the figural domains of divergent thinking and creative problem solving, in which more men than women were represented in both the upper and lower extremes of score distributions, corroborating the prediction of the hypothesis. However, for the verbal domain, greater female representation and equal representation of the two genders may occur in some upper regions, despite the predicted pattern of greater male representation being consistently supported in the lower regions of these verbal forms of creativity. These findings may be helpful in explaining why greater male variability was more likely to be observed in the figural domain of creativity with larger effect sizes in VRs when compared with the verbal domain. For the figural domain, greater male representation was consistently observed in both the lower and upper regions. However, for the verbal domain, although greater male representation was consistently observed in the lower regions, it was not consistently observed in the upper regions, where other gendered patterns, such as greater female representation or equal representation of the two genders might also appear, resulting in compensation for the overrepresentation of men in the lower regions and consequently reducing the effect size of greater male variability for verbal forms of creativity.</p>
<p>The inconsistent gendered patterns found in the upper regions, compared to the consistent greater male representation in the lower regions of verbal creativity scores, were interesting. Do these results imply a possibility of a male disadvantage, a female advantage, or gender equality in verbal functioning? Relevant to this speculation, <xref ref-type="bibr" rid="B71">Strand et al. (2006)</xref> observed that greater representation of men was found only in the bottom 5% (but not the top 5%) of the score distributions for verbal reasoning. In contrast, for quantitative and non-verbal reasoning scores, greater representation of men was found at both the top and bottom 5%. <xref ref-type="bibr" rid="B71">Strand et al.&#x2019;s (2006)</xref> findings imply that an overrepresentation of men could be observed among both high-scoring and low-scoring individuals for quantitative and non-verbal reasoning abilities. However, for verbal reasoning abilities, excess of men could only be observed among low-scoring individuals, which appears to imply a male disadvantage in verbal functioning.</p>
<p>Similar results suggesting a male disadvantage in verbal functioning were also reported in <xref ref-type="bibr" rid="B37">Hedges and Nowell (1995)</xref>, which documented an overrepresentation of men in the bottom 10% of participants&#x2019; reading comprehension ability. There are also research findings suggesting greater male representation in populations with reading impairment (e.g., dyslexia; <xref ref-type="bibr" rid="B31">Hawke et al., 2009</xref>). Interestingly, a different picture was observed for advanced readers who demonstrated relatively superior performance, in which far more women than men attained the highest level of language proficiency (<xref ref-type="bibr" rid="B63">Reilly et al., 2019</xref>). The findings regarding the domain-specific gendered patterns in the upper tails of the creativity score also seemed to corroborate the observation regarding high levels of creative accomplishment; although more men than women pursued domains of invention in science, musical composition, and painting, the prevalence of men and women in expressive domains, such as writing and drama, was comparable (<xref ref-type="bibr" rid="B66">Runco, 1986</xref>; <xref ref-type="bibr" rid="B49">Kaufman, 2006</xref>).</p>
<p>In spite of the findings regarding the domain-specific gendered patterns in the score distributions of figural and verbal creativity, limited information is available about why such patterns occur. Recent neural scientific studies suggest a possible mechanism by which a female advantage in verbal creativity might be related to the greater inter-hemispheric connections or integrations in women&#x2019;s brains (<xref ref-type="bibr" rid="B24">Fink and Neubauer, 2006</xref>; <xref ref-type="bibr" rid="B2">Abraham, 2016</xref>). Whereas high levels of visuospatial (or figural) divergent thinking were related to stronger engagement of the right hemisphere, high levels of verbal divergent thinking performance were more related to the interaction or integration between the left and right hemispheres (<xref ref-type="bibr" rid="B21">Faust and Kenett, 2014</xref>; <xref ref-type="bibr" rid="B50">Kenett et al., 2015</xref>; <xref ref-type="bibr" rid="B12">Chen et al., 2019</xref>). Greater inter-hemispheric connections or integrations in women&#x2019;s brains may result in greater female representation at the higher end of the verbal creativity score distribution (<xref ref-type="bibr" rid="B12">Chen et al., 2019</xref>).</p>
<p>Other researchers have also highlighted the possible contribution of socio-cultural factors (<xref ref-type="bibr" rid="B23">Feingold, 1994</xref>; <xref ref-type="bibr" rid="B13">Cheung and Lau, 2010</xref>) or the interplay of biological/evolutionary and socio-cultural factors (<xref ref-type="bibr" rid="B78">Vernon, 1989</xref>; <xref ref-type="bibr" rid="B1">Abra and Valentine-French, 1991</xref>; <xref ref-type="bibr" rid="B86">Wood and Eagly, 2002</xref>). In line with the socio-cultural perspective, <xref ref-type="bibr" rid="B26">Gray et al. (2019)</xref> noted that greater male variability was not universally homogenous and that quantifiable differences exist among nations. They also argued that some heterogeneity could be attributed to social practices or policies that target increasing male-female quality and general male-female performance (p. 27). Relevant to this argument, there are research findings showing that teachers are one of the main sources that shape students&#x2019; creative self-efficacy, which in turn influences creative outcomes (<xref ref-type="bibr" rid="B45">Karwowski, 2011</xref>; <xref ref-type="bibr" rid="B18">Du et al., 2020</xref>); the teacher effect was stronger among female than male students (<xref ref-type="bibr" rid="B46">Karwowski et al., 2015</xref>). Moreover, domain-specific analyses showed that men tended to have higher levels of self-efficacy than women in math and science-analytic creativity (<xref ref-type="bibr" rid="B49">Kaufman, 2006</xref>; <xref ref-type="bibr" rid="B46">Karwowski et al., 2015</xref>) and problem solving (<xref ref-type="bibr" rid="B38">Hughes et al., 2013</xref>), whereas women showed higher levels of creative self-efficacy than men in the arts and in language (<xref ref-type="bibr" rid="B49">Kaufman, 2006</xref>; <xref ref-type="bibr" rid="B38">Hughes et al., 2013</xref>; <xref ref-type="bibr" rid="B46">Karwowski et al., 2015</xref>).</p>
<p>Put differently, research findings appear to imply that both biological and socio-cultural factors may contribute to the observed domain-specific gendered patterns in the variability of figural and verbal creativity. Multiple theoretical perspectives should be taken into account, with an aim of understanding the complex mechanisms that contribute to the intriguing gendered patterns of creativity (<xref ref-type="bibr" rid="B39">Hyde, 2014</xref>; <xref ref-type="bibr" rid="B33">He, 2018</xref>).</p>
</sec>
<sec id="S4.SS4">
<title>Limitations and Future Research</title>
<p>Some limitations of this study should be noted. The first limitation concerns the measures of creativity. Whereas, at the conceptual and theoretical levels, both divergent thinking tasks and creative insight problems are regarded as important indexes of creative potential (<xref ref-type="bibr" rid="B68">Stanciu and Papasteri, 2018</xref>), the predictive power of the WKCT and the creative problem-solving test for real-life creative behaviors and achievement is still an issue undergoing debate (<xref ref-type="bibr" rid="B87">Zeng et al., 2011</xref>; <xref ref-type="bibr" rid="B9">Beaty et al., 2014</xref>). Hence, the findings obtained in this study may have limitations with regard to gender differences in real-life creativity. In future research, the Torrance Tests of Creative Thinking (TTCT) could be used as an alternative option in the research of greater male variability, given that compelling evidence has supported its predictive power for real-life creative achievement based on longitudinal follow-up studies of 50 years (<xref ref-type="bibr" rid="B67">Runco et al., 2010</xref>).</p>
<p>Second, the variability analyses of divergent thinking in the present study was based on the fluency score as the sole indicator, given that a confound effect of fluency was found in flexibility, originality, and elaboration. Adopting fluency as the sole criterion in the analysis is limited in the sense that it only illustrated the quantity of divergent production but failed to capture the quality of divergent thinking (see also <xref ref-type="bibr" rid="B25">Forthmann et al., 2020</xref>). As suggested by <xref ref-type="bibr" rid="B64">Reiter-Palmon et al. (2019)</xref>, it is desirable to consider alternative scoring methods in the application of divergent thinking tests.</p>
<p>Third, the creativity measures employed to study greater male variability are still limited in assessing specific aspects of creativity in relation to creative thinking, such as idea generation, combinatory ability, and restructuring ability (<xref ref-type="bibr" rid="B4">Antonietti and Iannello, 2008</xref>). Under the multiple-measurement approach to the multifaceted concept of creativity (<xref ref-type="bibr" rid="B65">Rhodes, 1961</xref>; <xref ref-type="bibr" rid="B70">Sternberg et al., 2005</xref>), future research should consider other measures of creativity that focus on alternative aspects of creativity, such as creative personality and creative self-efficacy (<xref ref-type="bibr" rid="B29">Haase et al., 2018</xref>).</p>
<p>Fourth, the sample in the present study was limited to Chinese university students. Past research suggests that greater male variability was supported in adolescents and emerging adults, but not in young children, among which greater female variability was found (<xref ref-type="bibr" rid="B32">He et al., 2015</xref>; <xref ref-type="bibr" rid="B33">He, 2018</xref>). In this regard, future studies should explore whether the research findings of the present study can be generalized to other age groups. Future studies should also explore whether the research findings can be generalized to other samples with different cultural, educational, or ethnic backgrounds.</p>
</sec>
</sec>
<sec id="S5">
<title>Conclusion</title>
<p>Despite the abovementioned limitations, the findings derived from the present study enrich the current understanding of gender differences in creativity, as well as the discourse surrounding greater male variability. Bearing in mind the domain-specific patterns in the occurrence and effect size of gender differences in variability, the consistent observation regarding greater male variance in the overall distribution in creativity and other ability scores is interesting and worthy of our attention, especially in the context of contemporary society, which is committed to promote gender equity, particularly within the sphere of educational opportunity (see also <xref ref-type="bibr" rid="B26">Gray et al., 2019</xref>). The research findings of the present study further imply that special consideration should be given to the differences in creativity performance pertaining to gender in the tails of the distributions and in different domains, which may have important implications on educational policies and practices. These findings also illustrate the desirability for continuing empirical scrutiny with respect to greater male variability in creativity as a multifaceted construct.</p>
</sec>
<sec id="S6">
<title>Data Availability Statement</title>
<p>Requests to access the datasets should be directed to the corresponding author.</p>
</sec>
<sec id="S7">
<title>Ethics Statement</title>
<p>The studies involving human participants were reviewed and approved by The Human Research Ethics Committee of the Education University of Hong Kong. The participants provided their written informed consent to participate in this study.</p>
</sec>
<sec id="S8">
<title>Author Contributions</title>
<p>W-JH contributed to the conception and design of the work as well as the acquisition, analysis, and interpretation of the data. Both authors contributed to the article and approved the submitted version.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<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>
</body>
<back>
<fn-group>
<fn fn-type="financial-disclosure">
<p><bold>Funding.</bold> The work described in this article was partially supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No: 28605615) and a grant from the Education University of Hong Kong (Project No: RG57/2019-2020R).</p>
</fn>
</fn-group>
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<fn-group>
<fn id="footnote1">
<label>1</label>
<p>This operationalization depends on which variance is used as numerator or denominator. The operationalization used in this study is to facilitate the interpretation of a result in relation to the hypothesis (i.e., greater male variability).</p></fn>
</fn-group>
</back>
</article>