<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-01361041</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-18T14:29:55+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Partitioned conditional generalized linear models for categorical responses</title>
            <author role="aut">
              <persName>
                <forename type="first">Jean</forename>
                <surname>Peyhardi</surname>
              </persName>
              <email type="md5">ebc041336ef6d90b6b064c9005845992</email>
              <email type="domain">gmail.com</email>
              <idno type="idhal" notation="string">jean-peyhardi</idno>
              <idno type="idhal" notation="numeric">746172</idno>
              <idno type="halauthorid" notation="string">17749-746172</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-7432-6802</idno>
              <idno type="IDREF">https://www.idref.fr/17728224X</idno>
              <affiliation ref="#struct-410122"/>
              <affiliation ref="#struct-1087315"/>
              <affiliation ref="#struct-21925"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Catherine</forename>
                <surname>Trottier</surname>
              </persName>
              <email type="md5">e0435b3c07424ac22a613e992770ce1f</email>
              <email type="domain">umontpellier.fr</email>
              <idno type="idhal" notation="string">catherine-trottier</idno>
              <idno type="idhal" notation="numeric">746428</idno>
              <idno type="halauthorid" notation="string">14337-746428</idno>
              <affiliation ref="#struct-424479"/>
              <affiliation ref="#struct-42812"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Yann</forename>
                <surname>Guédon</surname>
              </persName>
              <idno type="halauthorid">468126-0</idno>
              <affiliation ref="#struct-21925"/>
              <affiliation ref="#struct-192475"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Christophe</forename>
                <surname>Godin</surname>
              </persName>
              <email type="md5">310d55ee31ee4be07aaf8eac1baf7d14</email>
              <email type="domain">inria.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2016-09-06 17:57:35</date>
              <date type="whenModified">2025-08-26 15:21:01</date>
              <date type="whenReleased">2016-09-06 17:57:35</date>
              <date type="whenProduced">2016</date>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="103703">
                <persName>
                  <forename>Christophe</forename>
                  <surname>Godin</surname>
                </persName>
                <email type="md5">310d55ee31ee4be07aaf8eac1baf7d14</email>
                <email type="domain">inria.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01361041</idno>
            <idno type="halUri">https://inria.hal.science/hal-01361041</idno>
            <idno type="halBibtex">peyhardi:hal-01361041</idno>
            <idno type="halRefHtml">&lt;i&gt;Statistical Modelling&lt;/i&gt;, 2016, 16 (4), pp.297-321. &lt;a target="_blank" href="https://dx.doi.org/10.1177/1471082X16644874"&gt;&amp;#x27E8;10.1177/1471082X16644874&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Statistical Modelling, 2016, 16 (4), pp.297-321. &amp;#x27E8;10.1177/1471082X16644874&amp;#x27E9;</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CIRAD">CIRAD - Centre de coopération internationale en recherche agronomique pour le développement</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="UNIV-MONTP3">Université de Montpellier Paul-Valéry</idno>
            <idno type="stamp" n="INRA">INRA - Institut national de la recherche agronomique</idno>
            <idno type="stamp" n="INRIA-SOPHIA">INRIA Sophia Antipolis - Méditerranée</idno>
            <idno type="stamp" n="I3M_UMR5149">Institut de Mathématiques et de Modélisation de Montpellier</idno>
            <idno type="stamp" n="IGF">Institut de génomique fonctionnelle</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="INRIASO">INRIA-SOPHIA</idno>
            <idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="IMAG-MONTPELLIER">Institut Montpelliérain Alexander Grothendieck</idno>
            <idno type="stamp" n="AGROPOLIS">Agropolis</idno>
            <idno type="stamp" n="INRIA2">INRIA 2</idno>
            <idno type="stamp" n="AGREENIUM">Archive ouverte en agrobiosciences</idno>
            <idno type="stamp" n="MIPS">Mathématiques, Informatique, Physique et Systèmes</idno>
            <idno type="stamp" n="BS">Biologie-Santé</idno>
            <idno type="stamp" n="UNIV-MONTPELLIER">Université de Montpellier</idno>
            <idno type="stamp" n="UNIV-COTEDAZUR">Université Côte d'Azur</idno>
            <idno type="stamp" n="INSTITUT-AGRO-MONTPELLIER">Institut Agro Montpellier</idno>
            <idno type="stamp" n="INRAE">Institut National de Recherche en Agriculture, Alimentation et Environnement</idno>
            <idno type="stamp" n="INRAEOCCITANIEMONTPELLIER" corresp="INRAE">INRAE Occitanie Montpellier</idno>
            <idno type="stamp" n="AGAP">AGAP </idno>
            <idno type="stamp" n="UM-2015-2021" corresp="UNIV-MONTPELLIER">Université de Montpellier (2015-2021)</idno>
            <idno type="stamp" n="INRIAARTDOI">INRIAARTDOI</idno>
            <idno type="stamp" n="INSTITUT-AGRO">Institut Agro</idno>
            <idno type="stamp" n="AMIS">AMIS</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Partitioned conditional generalized linear models for categorical responses</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Jean</forename>
                    <surname>Peyhardi</surname>
                  </persName>
                  <email type="md5">ebc041336ef6d90b6b064c9005845992</email>
                  <email type="domain">gmail.com</email>
                  <idno type="idhal" notation="string">jean-peyhardi</idno>
                  <idno type="idhal" notation="numeric">746172</idno>
                  <idno type="halauthorid" notation="string">17749-746172</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-7432-6802</idno>
                  <idno type="IDREF">https://www.idref.fr/17728224X</idno>
                  <affiliation ref="#struct-410122"/>
                  <affiliation ref="#struct-1087315"/>
                  <affiliation ref="#struct-21925"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Catherine</forename>
                    <surname>Trottier</surname>
                  </persName>
                  <email type="md5">e0435b3c07424ac22a613e992770ce1f</email>
                  <email type="domain">umontpellier.fr</email>
                  <idno type="idhal" notation="string">catherine-trottier</idno>
                  <idno type="idhal" notation="numeric">746428</idno>
                  <idno type="halauthorid" notation="string">14337-746428</idno>
                  <affiliation ref="#struct-424479"/>
                  <affiliation ref="#struct-42812"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Yann</forename>
                    <surname>Guédon</surname>
                  </persName>
                  <idno type="halauthorid">468126-0</idno>
                  <affiliation ref="#struct-21925"/>
                  <affiliation ref="#struct-192475"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">19143</idno>
                <idno type="issn">1471-082X</idno>
                <idno type="eissn">1477-0342</idno>
                <title level="j">Statistical Modelling</title>
                <imprint>
                  <publisher>SAGE Publications</publisher>
                  <biblScope unit="volume">16</biblScope>
                  <biblScope unit="issue">4</biblScope>
                  <biblScope unit="pp">297–321</biblScope>
                  <date type="datePub">2016</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1177/1471082X16644874</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Specification of GLMs</term>
                <term xml:lang="en">Hasse diagram</term>
                <term xml:lang="en">hierarchical structure among categories</term>
                <term xml:lang="en">partially ordered variable</term>
                <term xml:lang="en">partition tree</term>
              </keywords>
              <classCode scheme="halDomain" n="stat">Statistics [stat]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>In categorical data analysis, several regression models have been proposed for hierarchically structured responses, such as the nested logit model, the two-step model or the partitioned conditional model for partially ordered set. The specifications of these models are heterogeneous and they have been formally defined for only two or three levels in the hierarchy. Here, we introduce the class of partitioned conditional generalized linear models (PCGLMs) that encompasses all these models and is defined for any number of levels in the hierarchy. The hierarchical structure of these models is fully specified by a partition tree of categories. Using the genericity of the recently introduced (r, F, Z) specification of generalized linear models (GLMs) for categorical responses, it is possible to use different link functions and explanatory variables for each partitioning step. PCGLMs thus constitute a very flexible framework for modelling hierarchically structured categorical responses including partially ordered responses.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="institution" xml:id="struct-410122" status="OLD">
          <idno type="ISNI">0000000120970141</idno>
          <idno type="ROR">https://ror.org/051escj72</idno>
          <orgName>Université de Montpellier</orgName>
          <orgName type="acronym">UM</orgName>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>163 rue Auguste Broussonnet - 34090 Montpellier</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.umontpellier.fr/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-1087315" status="OLD">
          <idno type="ISNI">0000000403832080</idno>
          <idno type="RNSR">200717476V</idno>
          <idno type="ROR">https://ror.org/043wmc583</idno>
          <orgName>Institut de Génomique Fonctionnelle</orgName>
          <orgName type="acronym">IGF</orgName>
          <date type="start">2015-01-01</date>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>141, Rue de la Cardonille 34094 Montpellier cedex 5</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.igf.cnrs.fr</ref>
          </desc>
          <listRelation>
            <relation name="U1191" active="#struct-303623" type="direct"/>
            <relation active="#struct-410122" type="direct"/>
            <relation name="UMR5203" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-21925" status="OLD">
          <idno type="RNSR">200718385H</idno>
          <orgName>Modeling plant morphogenesis at different scales, from genes to phenotype</orgName>
          <orgName type="acronym">VIRTUAL PLANTS</orgName>
          <date type="start">2007-07-01</date>
          <date type="end">2017-12-31</date>
          <desc>
            <address>
              <addrLine>INRIA project-team Virtual Plants, joint with CIRAD and INRA UMR AGAP C.C. 06002 95, rue de la Galéra, 34095 Montpellier Cedex 5, France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://team.inria.fr/virtualplants/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-34586" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-92114" type="direct"/>
            <relation active="#struct-192475" type="direct"/>
            <relation name="UMR108" active="#struct-11574" type="indirect"/>
            <relation name="UMR1334" active="#struct-92114" type="direct"/>
            <relation active="#struct-92699" type="indirect"/>
            <relation active="#struct-474617" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-424479" status="OLD">
          <idno type="ISNI">0000000404890602</idno>
          <idno type="RNSR">200311827X</idno>
          <idno type="ROR">https://ror.org/044kxby82</idno>
          <orgName>Institut Montpelliérain Alexander Grothendieck</orgName>
          <orgName type="acronym">IMAG</orgName>
          <date type="start">2015-01-01</date>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>UMR CNRS 5149 - Université Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://imag.umontpellier.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-410122" type="direct"/>
            <relation name="UMR5149" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-42812" status="OLD">
          <idno type="IdRef">026404702</idno>
          <idno type="ISNI">000000012196152X</idno>
          <idno type="ROR">https://ror.org/00qhdy563</idno>
          <orgName>Université Paul-Valéry - Montpellier 3</orgName>
          <orgName type="acronym">UPVM</orgName>
          <date type="start">1970-11-18</date>
          <date type="end">2024-12-31</date>
          <desc>
            <address>
              <addrLine>Université Paul Valéry Montpellier 3Route de Mende 34199 Montpellier Cedex 5</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-montp3.fr/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-192475" status="OLD">
          <idno type="RNSR">201119637B</idno>
          <orgName>Amélioration génétique et adaptation des plantes méditerranéennes et tropicales</orgName>
          <orgName type="acronym">UMR AGAP</orgName>
          <date type="start">2011-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>TA A-108 / 03 - Avenue Agropolis - 34398 Montpellier Cedex 5 France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://umr-agap.cirad.fr</ref>
          </desc>
          <listRelation>
            <relation name="UMR108" active="#struct-11574" type="direct"/>
            <relation name="UMR1334" active="#struct-92114" type="direct"/>
            <relation active="#struct-92699" type="direct"/>
            <relation active="#struct-474617" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-303623" status="VALID">
          <idno type="IdRef">026388278</idno>
          <idno type="ROR">https://ror.org/02vjkv261</idno>
          <orgName>Institut National de la Santé et de la Recherche Médicale</orgName>
          <orgName type="acronym">INSERM</orgName>
          <desc>
            <address>
              <addrLine>101, rue de Tolbiac, 75013 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inserm.fr</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-34586" status="VALID">
          <idno type="RNSR">198318250R</idno>
          <idno type="ROR">https://ror.org/01nzkaw91</idno>
          <orgName>Centre Inria d'Université Côte d'Azur</orgName>
          <desc>
            <address>
              <addrLine>2004 route des Lucioles BP 93 06902 Sophia Antipolis</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/centre/sophia/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-92114" status="OLD">
          <idno type="ROR">https://ror.org/01x3gbx83</idno>
          <orgName>Institut National de la Recherche Agronomique</orgName>
          <orgName type="acronym">INRA</orgName>
          <date type="start">1946-05-18</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inra.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-11574" status="VALID">
          <idno type="ISNI">0000000121539871</idno>
          <idno type="ROR">https://ror.org/05kpkpg04</idno>
          <orgName>Centre de Coopération Internationale en Recherche Agronomique pour le Développement</orgName>
          <orgName type="acronym">Cirad</orgName>
          <date type="start">1984-06-01</date>
          <desc>
            <address>
              <addrLine>Siège 42, rue Scheffer 75116 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.cirad.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-92699" status="OLD">
          <idno type="ROR">https://ror.org/03rnk6m14</idno>
          <orgName>Centre international d'études supérieures en sciences agronomiques</orgName>
          <orgName type="acronym">Montpellier SupAgro</orgName>
          <date type="start">2007-01-01</date>
          <date type="end">2015-02-05</date>
          <desc>
            <address>
              <addrLine>2, place Pierre Viala - 34060 Montpellier Cedex 02</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.supagro.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-474617" status="OLD">
          <idno type="ROR">https://ror.org/03rnk6m14</idno>
          <orgName>Institut national d’études supérieures agronomiques de Montpellier</orgName>
          <orgName type="acronym">Montpellier SupAgro</orgName>
          <date type="start">2015-02-06</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>2, place Viala34060 Montpellier Cédex 2</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.supagro.fr</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>