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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">050404</article-id>
      <article-id pub-id-type="doi">10.6339/JDS.2007.05(4).360
</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Power Calculations for ZIP and ZINB Models</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Williamson</surname>
            <given-names>John M.</given-names>
          </name>
          <xref ref-type="aff" rid="j_JDS_aff_000"/>
        </contrib>
        <aff id="j_JDS_aff_000">Centers for Disease Control and Prevention</aff>
        <contrib contrib-type="author">
          <name>
            <surname>Lin</surname>
            <given-names>Hung-Mo</given-names>
          </name>
          <xref ref-type="aff" rid="j_JDS_aff_001"/>
        </contrib>
        <aff id="j_JDS_aff_001">Penn State College of Medicine</aff>
        <contrib contrib-type="author">
          <name>
            <surname>Lyles</surname>
            <given-names>Robert H.</given-names>
          </name>
          <xref ref-type="aff" rid="j_JDS_aff_002"/>
        </contrib>
        <aff id="j_JDS_aff_002">Emory University</aff>
        <contrib contrib-type="author">
          <name>
            <surname>Hightower</surname>
            <given-names>Allen W.</given-names>
          </name>
          <xref ref-type="aff" rid="j_JDS_aff_003"/>
        </contrib>
        <aff id="j_JDS_aff_003">Centers for Disease Control and Prevention</aff>
      </contrib-group>
      <volume>5</volume>
      <issue>4</issue>
      <fpage>519</fpage>
      <lpage>534</lpage>
      <permissions>
        <ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/>
      </permissions>
      <abstract>
        <p>Abstract: We present power calculations for zero-inflated Poisson (ZIP) and zero-inflated negative-binomial (ZINB) models. We detail direct computations for a ZIP model based on a two-sample Wald test using the expected information matrix. We also demonstrate how Lyles, Lin, and Williamson’s method (2006) of power approximation for categorical and count outcomes can be extended to both zero-inflated models. This method can be used for power calculations based on the Wald test (via the observed information matrix) and the likelihood ratio test, and can accommodate both categorical and continuous covariates. All the power calculations can be conducted when covariates are used in the modeling of both the count data and the “excess zero” data, or in either part separately. We present simulations to detail the performance of the power calculations. Analysis of a malaria study is used for illustration.</p>
      </abstract>
    </article-meta>
  </front>
</article>
