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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">JDS</journal-id>
      <journal-title-group>
        <journal-title>Journal of Data Science</journal-title>
      </journal-title-group>
      <issn pub-type="epub">1680-743X</issn>
      <issn pub-type="ppub">1680-743X</issn>
      <publisher>
        <publisher-name>SOSRUC</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="publisher-id">070302</article-id>
      <article-id pub-id-type="doi">10.6339/JDS.2009.07(3).462
</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>A New Analytic Framework for Moderation Analysis — Moving Beyond Analytic Interactions</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Tang</surname>
            <given-names>Wan</given-names>
          </name>
          <xref ref-type="aff" rid="j_JDS_aff_000"/>
        </contrib>
        <aff id="j_JDS_aff_000">University of Rochester</aff>
        <contrib contrib-type="author">
          <name>
            <surname>Yu</surname>
            <given-names>Qin</given-names>
          </name>
          <xref ref-type="aff" rid="j_JDS_aff_001"/>
        </contrib>
        <aff id="j_JDS_aff_001">University of Rochester</aff>
        <contrib contrib-type="author">
          <name>
            <surname>Crits-Christoph</surname>
            <given-names>Paul</given-names>
          </name>
          <xref ref-type="aff" rid="j_JDS_aff_002"/>
        </contrib>
        <aff id="j_JDS_aff_002">University of Pennsylvania</aff>
        <contrib contrib-type="author">
          <name>
            <surname>Tu</surname>
            <given-names>Xin M.</given-names>
          </name>
          <xref ref-type="aff" rid="j_JDS_aff_003"/>
        </contrib>
        <aff id="j_JDS_aff_003">University of Rochester</aff>
      </contrib-group>
      <volume>7</volume>
      <issue>3</issue>
      <fpage>313</fpage>
      <lpage>329</lpage>
      <permissions>
        <ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/>
      </permissions>
      <abstract>
        <p>Abstract: Conceptually, a moderator is a variable that modifies the effect of a predictor on a response. Analytically, a common approach as used in most moderation analyses is to add analytic interactions involving the predictor and moderator in the form of cross-variable products and test the significance of such terms. The narrow scope of such a procedure is inconsistent with the broader conceptual definition of moderation, leading to confusion in interpretation of study findings. In this paper, we develop a new approach to the analytic procedure that is consistent with the concept of moderation. The proposed framework defines moderation as a process that modifies an existing relationship between the predictor and the outcome, rather than simply a test of a predictor by moderator interaction. The approach is illustrated with data from a real study.</p>
      </abstract>
      <kwd-group>
        <label>Keywords</label>
        <kwd>Analytic interactions</kwd>
        <kwd>mixed-effects model</kwd>
        <kwd>non-linear model</kwd>
      </kwd-group>
    </article-meta>
  </front>
</article>
