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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Psychol.</journal-id>
<journal-title>Frontiers in Psychology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Psychol.</abbrev-journal-title>
<issn pub-type="epub">1664-1078</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpsyg.2017.00165</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Psychology</subject>
<subj-group>
<subject>General Commentary</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Commentary: Wild psychometrics: Evidence for &#x02018;general&#x02019; cognitive performance in wild New Zealand robins, <italic>Petroica longipes</italic></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Hackett</surname> <given-names>Paul M. W.</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="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/156471/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Psychology, University of Gloucestershire</institution> <country>Cheltenham, UK</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Psychology, University of Cambridge</institution> <country>Cambridge, UK</country></aff>
<aff id="aff3"><sup>3</sup><institution>School of Communication, Emerson College</institution> <country>Boston, MA, USA</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Erica Cosentino, Ruhr University Bochum, Germany</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Jonas Rose, University of T&#x000FC;bingen, Germany</p></fn>
<fn fn-type="corresp" id="fn001"><p>&#x0002A;Correspondence: Paul M. W. Hackett <email>paul&#x00040;hackettspace.com</email></p></fn>
<fn fn-type="other" id="fn002"><p>This article was submitted to Theoretical and Philosophical Psychology, a section of the journal Frontiers in Psychology</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>08</day>
<month>02</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="collection">
<year>2017</year>
</pub-date>
<volume>8</volume>
<elocation-id>165</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>12</month>
<year>2016</year>
</date>
<date date-type="accepted">
<day>25</day>
<month>01</month>
<year>2017</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2017 Hackett.</copyright-statement>
<copyright-year>2017</copyright-year>
<copyright-holder>Hackett</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) or licensor 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>
<related-article id="RA1" related-article-type="commentary-article" journal-id="Anim Behav" journal-id-type="nlm-ta" vol="109" page="101" xlink:href="10.1016/j.anbehav.2015.08.001" ext-link-type="doi">A commentary on <article-title>Wild psychometrics: Evidence for &#x02018;general&#x02019; cognitive performance in wild New Zealand robins, <italic>Petroica longipes</italic></article-title> by Shaw, R. C., Boogert, N. J., Clayton, N. S., and Burns, K. C. (2015). Anim. Behav. 109, 101&#x02013;111. doi: <object-id>10.1016/j.anbehav.2015.08.001</object-id></related-article> 
<kwd-group>
<kwd>facet theory</kwd>
<kwd>cognition</kwd>
<kwd>avian intelligence</kwd>
<kwd>comparative psychology</kwd>
<kwd>&#x0201C;g&#x0201D; factor in intelligence</kwd>
<kwd>psychometrics</kwd>
</kwd-group>
<counts>
<fig-count count="0"/>
<table-count count="0"/>
<equation-count count="0"/>
<ref-count count="16"/>
<page-count count="3"/>
<word-count count="1672"/>
</counts>
</article-meta>
</front>
<body>
<p>Studies into the psychometric structure of human intelligence and cognitive ability have identified a &#x0201C;<italic>g&#x0201D;</italic> or <italic>general</italic> factor, e.g., Buckhalt (<xref ref-type="bibr" rid="B3">2002</xref>), and in comparative psychology, in primates: Reader et al. (<xref ref-type="bibr" rid="B14">2011</xref>) and in rodents: Matzel et al. (<xref ref-type="bibr" rid="B13">2003</xref>). As well as this &#x0201C;<italic>g&#x0201D;</italic> factor, intelligence is conceptualized as possessing multiple specific intelligences. Due perhaps to more recent discoveries regarding the complexity of birds cognitive abilities (see, Emery, <xref ref-type="bibr" rid="B5">2016</xref>), birds have become the subject of psychometric investigation (e.g., Ackerman, <xref ref-type="bibr" rid="B1">2016</xref>).</p>
<p>Seminally, Shaw et al. (<xref ref-type="bibr" rid="B16">2015</xref>) assembled a test battery for avian cognition to assess the cognitive abilities in New Zealand robins (<italic>Petroica longipes</italic>). Their test battery was comprised of a series of, &#x0201C;tasks based on established measures of avian cognitive performance: a motor task, color and shape discrimination, reversal learning, spatial memory and inhibitory control.&#x0201D; (Shaw et al., <xref ref-type="bibr" rid="B16">2015</xref>, p. 101). These scientists found robins to vary greatly in their ability to solve tasks. They also discovered weak, positive, non-significant correlations between performances on most tasks. They analyzed test performance using principle component analysis (PCA) using the criteria for extracting components as being the possession of an eigenvalue of unity or above. All sub-tests were found to load positively on the first component, which explained &#x0003E;34% of between-test variance. As a consequence of this finding, the authors identified this first factor aa a &#x0201C;<italic>g&#x0201D;</italic> factor, and concluded that New Zealand robins, tested in their wild habitat, displayed a general cognitive factor analogous to the human &#x0201C;<italic>g&#x0201D;</italic> factor. They continue to draw similarities between their own research and the body of literature on human general intelligence. In their article, Shaw et al. (<xref ref-type="bibr" rid="B16">2015</xref>) state that: &#x0201C;In human psychometric testing, individuals&#x00027; scores in tests of diverse cognitive processes are positively correlated, and a &#x0201C;<italic>g&#x0201D;</italic> factor typically accounts for at least 40% of total variance&#x0201D; (Shaw et al., <xref ref-type="bibr" rid="B16">2015</xref>, p 101).</p>
<p>However, several researchers, (e.g., Guttman, <xref ref-type="bibr" rid="B6">1965</xref>, <xref ref-type="bibr" rid="B7">1981</xref>; Koop, <xref ref-type="bibr" rid="B12">1985</xref>; Guttman and Levy, <xref ref-type="bibr" rid="B8">1991</xref>) have expressed concerns with the use of PCA to analyze tests of cognition as this procedure embodies specific assumptions regarding the data being analyzed that may not be met. For example, PCA requires that the data being subjected to PCA possesses the following characteristics: that the data is parametric in nature; that there is a correspondence between the data and the psychological structure of the construct being assessed; that comparability exists between the measurement scales in different sub-tests, etc.</p>
<p>Within human psychometrics questions have been asked regarding the nature of the relationship between general and specific forms of intelligence. Rimoldi (<xref ref-type="bibr" rid="B15">1951</xref>) hypothesized upon the nature of a &#x0201C;<italic>g&#x0201D;</italic> factor in intelligence. Koop (<xref ref-type="bibr" rid="B12">1985</xref>) notes how Rimoldi proposed that the &#x0201C;<italic>g&#x0201D;</italic> component was better understood as being a second-order factor (as being a product of specific intelligences) rather than as a primary factor with secondary specific intelligences. A psychometric approach that has been employed to analyse human cognition (and many other forms of behavior and experience) is that of facet theory (see Hackett, <xref ref-type="bibr" rid="B9">2014</xref>, <xref ref-type="bibr" rid="B10">2016</xref>). Typically, when a facet theory perspective is utilized, a definitional framework, known as a mapping sentence, is developed and research instruments are designed to investigate this initial propositional definition. Data reduction techniques (similar to PCA, but having different assumptions about the data), such as smallest space analysis (SSA) and partial order scalogram analysis (POSA) are used to test the veracity of the mapping sentence. Another way in which facet theory has been used is to analyse existing data sets. The data set produced through Shaw et al.&#x00027;s research into New Zealand robin&#x00027;s cognitive performance is a data set that would be suited to such analysis.</p>
<p>An example of how a facet theory approach has been sued to interrogate an existing data set is Koop&#x00027;s (<xref ref-type="bibr" rid="B12">1985</xref>) reanalysis of Rimoldi&#x00027;s (<xref ref-type="bibr" rid="B15">1951</xref>) data using facet theory&#x00027;s analytic procedure: SSA and found a radial (qualitative) array of sub-tests (geometrical; numerical and verbal tests). Furthermore, he discovered that each of these sub-types of intelligence sub-tests were modified in terms of whether a specific sub-test required: inference, application or learning. Other researchers have divided the &#x0201C;<italic>g&#x0201D;</italic> intelligence into two forms: fluid (gf) and crystalized (gc) general intelligence (Cattell, <xref ref-type="bibr" rid="B4">1963</xref>; Horn, <xref ref-type="bibr" rid="B11">1988</xref>). Beauducel et al. (<xref ref-type="bibr" rid="B2">2001</xref>) used the facet theory approach to investigate the structure of fluid and crystalized general intelligence. They discovered support for the discrete existence of the tests of: verbal, numerical and figural abilities, with these being divided into: fluid (gf) and crystalized (gc) general intelligence, in a 2 &#x000D7; 3 structure.</p>
<p>Shaw et al.&#x00027;s (<xref ref-type="bibr" rid="B16">2015</xref>) psychometric test battery and framework has demonstrated cognitive structures analogous to human intelligence and their findings are an extremely important steps toward better understanding how birds cognitively experience and process their world. Of particular relevance to this commentary is the fact that Shaw and colleagues identification of a complex structure to exist within avian intelligence offers a new research area for facet theory.</p>
<p>To conclude, facet theory approach has allowed the depiction and modeling of human cognitive processes and for understanding human intelligence. It is the contention of this author that facet theory provides a way to conceptualize and design avian cognition research. The approach also provides a way to analyse data that arises from research designed in this way using non-parametric techniques (e.g., SSA and POSA) to reveal the structure of avian intelligence in the form of a mapping sentence. By using a mapping sentence to design research and non-parametric statistical analyses this allows the investigation of the structure of avian intelligence in a way that does not make unsubstantiated assumptions of the psychometric qualities of the data. Furthermore, facet theory based research produces cumulative and directly comparable results across studies employing a faceted design. Thus, the use of facet theory could potentially develop greater understanding of avian cognitive processes.</p>
<sec id="s1">
<title>Author contributions</title>
<p>The author confirms being the sole contributor of this work and approved it for publication.</p>
<sec>
<title>Conflict of interest statement</title>
<p>The author declares that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
</sec>
</body>
<back>
<ack><p>I would like to thank the authors of the article upon which this commentary is based (Shaw, R. C., Boogert, N. J., Clayton, N. S., and Burns, K. C.) for their co-operation and for making their work available to me.</p>
</ack>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Ackerman</surname> <given-names>J.</given-names></name></person-group> (<year>2016</year>). <source>The Genius of Birds.</source> <publisher-loc>London</publisher-loc>: <publisher-name>Penguin Press HC</publisher-name>.</citation>
</ref>
<ref id="B2">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Beauducel</surname> <given-names>A.</given-names></name> <name><surname>Brocke</surname> <given-names>B.</given-names></name> <name><surname>Liepmann</surname> <given-names>D.</given-names></name></person-group> (<year>2001</year>). <article-title>Perspectives on fluid and crystallized intelligence: facets for verbal, numerical, and figural intelligence</article-title>. <source>Pers. Indiv. Diff.</source> <volume>30</volume>, <fpage>977</fpage>&#x02013;<lpage>994</lpage>. <pub-id pub-id-type="doi">10.1016/S0191-8869(00)00087-8</pub-id></citation>
</ref>
<ref id="B3">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Buckhalt</surname> <given-names>J. A.</given-names></name></person-group> (<year>2002</year>). <article-title>A short history of <italic>g</italic>: psychometrics&#x00027; most enduring and controversial construct</article-title>. <source>Learn. Indiv. Diff.</source> <volume>13</volume>, <fpage>101</fpage>&#x02013;<lpage>114</lpage>. <pub-id pub-id-type="doi">10.1016/S1041-6080(02)00074-2</pub-id></citation>
</ref>
<ref id="B4">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Cattell</surname> <given-names>R. B.</given-names></name></person-group> (<year>1963</year>). <article-title>Theory of fluid and crystallized intelligence: a critical experiment</article-title>. <source>J. Educ. Psychol.</source> <volume>54</volume>, <fpage>1</fpage>&#x02013;<lpage>22</lpage>. <pub-id pub-id-type="doi">10.1037/h0046743</pub-id></citation>
</ref>
<ref id="B5">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Emery</surname> <given-names>N.</given-names></name></person-group> (<year>2016</year>). <source>Bird Brain: An Exploration of Avian Intelligence.</source> <publisher-loc>Princeton, NJ</publisher-loc>: <publisher-name>Princeton University Press</publisher-name>.</citation>
</ref>
<ref id="B6">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Guttman</surname> <given-names>L.</given-names></name></person-group> (<year>1965</year>). <article-title>A faceted definition of intelligence</article-title>, in <source>Studies in Psychology, Scripta Hierosolymitana</source>, ed <person-group person-group-type="editor"><name><surname>Eiferman</surname> <given-names>R.</given-names></name></person-group> (<publisher-loc>Jerusalem</publisher-loc>: <publisher-name>The Hebrew University</publisher-name>), <fpage>166</fpage>&#x02013;<lpage>181</lpage>.</citation>
</ref>
<ref id="B7">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Guttman</surname> <given-names>L.</given-names></name></person-group> (<year>1981</year>). <article-title>What is not what in statistics</article-title>, in <source>Multidimensional Data Representations: When and Why</source>, ed <person-group person-group-type="editor"><name><surname>Borg</surname> <given-names>I.</given-names></name></person-group> (<publisher-loc>Ann Arbor</publisher-loc>: <publisher-name>Mathesis Press</publisher-name>), <fpage>20</fpage>&#x02013;<lpage>46</lpage>.</citation>
</ref>
<ref id="B8">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Guttman</surname> <given-names>L.</given-names></name> <name><surname>Levy</surname> <given-names>S.</given-names></name></person-group> (<year>1991</year>). <article-title>Two structural laws for intelligence tests</article-title>. <source>Intelligence</source> <volume>15</volume>, <fpage>79</fpage>&#x02013;<lpage>103</lpage>. <pub-id pub-id-type="doi">10.1016/0160-2896(91)90023-7</pub-id></citation>
</ref>
<ref id="B9">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Hackett</surname> <given-names>P. M. W.</given-names></name></person-group> (<year>2014</year>). <source>Facet Theory and the Mapping Sentence: Evolving Philosophy, Use and Application.</source> <publisher-loc>Basingstoke</publisher-loc>: <publisher-name>Palgrave</publisher-name>.</citation>
</ref>
<ref id="B10">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hackett</surname> <given-names>P. M.</given-names></name></person-group> (<year>2016</year>). <article-title>Facet theory and the mapping sentence as hermeneutically consistent structured meta-ontology and structured meta-mereology</article-title>. <source>Front. Psychol.</source> <volume>7</volume>:<fpage>471</fpage>. <pub-id pub-id-type="doi">10.3389/fpsyg.2016.00471</pub-id><pub-id pub-id-type="pmid">27065932</pub-id></citation>
</ref>
<ref id="B11">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Horn</surname> <given-names>J.</given-names></name></person-group> (<year>1988</year>). <article-title>Thinking about human abilities</article-title>, in <source>Handbook of Multivariate Experimental Psychology</source>, eds <person-group person-group-type="editor"><name><surname>Nesselroade</surname> <given-names>J. R.</given-names></name> <name><surname>Cattell</surname> <given-names>R. B.</given-names></name></person-group> (<publisher-loc>New York, NY</publisher-loc>: <publisher-name>Plenum Press</publisher-name>), <fpage>645</fpage>&#x02013;<lpage>685</lpage>.</citation>
</ref>
<ref id="B12">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Koop</surname> <given-names>T.</given-names></name></person-group> (<year>1985</year>). <article-title>Replication of Guttman&#x00027;s structure of intelligence</article-title>, in <source>Facet Theory: Approaches to Social Research</source>, ed <person-group person-group-type="editor"><name><surname>Canter</surname> <given-names>D.</given-names></name></person-group> (<publisher-loc>New York, NY</publisher-loc>: <publisher-name>Springer Verlag</publisher-name>), <fpage>237</fpage>&#x02013;<lpage>244</lpage>.</citation>
</ref>
<ref id="B13">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Matzel</surname> <given-names>L. D.</given-names></name> <name><surname>Han</surname> <given-names>Y. R.</given-names></name> <name><surname>Grossman</surname> <given-names>H.</given-names></name> <name><surname>Karnik</surname> <given-names>M. S.</given-names></name> <name><surname>Patel</surname> <given-names>D.</given-names></name> <name><surname>Scott</surname> <given-names>N.</given-names></name> <etal/></person-group>. (<year>2003</year>). <article-title>Individual differences in the expression of a &#x0201C;general&#x0201D; learning ability in mice</article-title>. <source>J. Neurosci.</source> <volume>23</volume>, <fpage>6423</fpage>&#x02013;<lpage>6433</lpage>. <pub-id pub-id-type="pmid">12878682</pub-id></citation>
</ref>
<ref id="B14">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Reader</surname> <given-names>S. M.</given-names></name> <name><surname>Hager</surname> <given-names>Y.</given-names></name> <name><surname>Laland</surname> <given-names>K. N.</given-names></name></person-group> (<year>2011</year>). <article-title>The evolution of primate general and cultural intelligence</article-title>. <source>Philos. Trans. R. Soc. B Biol. Sci.</source> <volume>366</volume>, <fpage>1017</fpage>&#x02013;<lpage>1027</lpage>. <pub-id pub-id-type="doi">10.1098/rstb.2010.0342</pub-id><pub-id pub-id-type="pmid">21357224</pub-id></citation>
</ref>
<ref id="B15">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Rimoldi</surname> <given-names>H. J. A.</given-names></name></person-group> (<year>1951</year>). <article-title>The central intellective factor</article-title>. <source>Psychometrica</source> <volume>16</volume>, <fpage>75</fpage>&#x02013;<lpage>101</lpage>. <pub-id pub-id-type="doi">10.1007/BF02313429</pub-id></citation>
</ref>
<ref id="B16">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Shaw</surname> <given-names>R. C.</given-names></name> <name><surname>Boogert</surname> <given-names>N. J.</given-names></name> <name><surname>Clayton</surname> <given-names>N. S.</given-names></name> <name><surname>Burns</surname> <given-names>K. C.</given-names></name></person-group> (<year>2015</year>). <article-title>Wild psychometrics: evidence for &#x02018;general&#x02019; cognitive performance in wild New Zealand robins, <italic>Petroica longipes</italic></article-title>. <source>Anim. Behav.</source> <volume>109</volume>, <fpage>101</fpage>&#x02013;<lpage>111</lpage>. <pub-id pub-id-type="doi">10.1016/j.anbehav.2015.08.001</pub-id></citation>
</ref>
</ref-list>
</back>
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