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YuqiTian20200909
(02 Sep 2020,
AndrewSpieker
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%HEAD{ NAME="Yuqi Tian" AFFILIATION="Vanderbilt University Medical Center" TITLE="Extensions of Ordinal Cumulative Probability Models" IMAGELINK="https://cdn.vanderbilt.edu/vu-wp0/wp-content/uploads/sites/190/2017/11/05144354/C54F173B-A1E7-4555-A765-0D12D1408B1B-e1536158690389.jpeg" }% Continuous response variables can be analyzed with ordinal cumulative probability models (CPMs), also known as “cumulative link models”. Continuous outcomes often need to be transformed to meet modeling assumptions. CPMs semi-parametrically estimate the transformation and they directly model the cumulative distribution function, from which conditional expectations, quantiles, probability indices, and other interpretable parameters can be easily derived. In this talk, we present some extensions of CPMs. First, we compare CPMs with most likely transformation models (MLTs), which parametrically estimate the transformation using flexible basis functions. Second, we extend CPMs to deal with multiple detection limits. Detection limits are common in biomedical research, but most analysis approaches either explicitly assign a value to the undetectable measures or implicitly make parametric assumptions about the distribution of data outside the detection limits. Third, we extend CPMs to model clustered/longitudinal continuous response variables; our approach is equivalent to fitting an ordinal GEE model with an independence working correlation structure. We illustrate the proposed approaches through simulations and applications to HIV studies. %TAIL{DATE="09 September 2020"}% <!-- * Set HEAD = <br> <br> <br> <div class="w3-card-2" id="task" style="max-width:750px; margin-left: 0px;"> <header class="w3-container w3-blue" style="padding:40px"><h1>Biostatistics Weekly Seminar</h1><br><h2 style="color:white;">%TITLE%<br><br>%NAME%<br>%AFFILIATION%</h2></header><div class="w3-container" style="padding:40px"><IMG SRC=%IMAGELINK% align="left" id="mug"/> * Set TAIL = <br><h3>Zoom (Link to Follow)<br>%DATE%<br>1:30pm</h3></div></div><br> --> <style> .w3-card-2,.w3-example{box-shadow:0 2px 4px 0 rgba(0,0,0,0.16),0 2px 10px 0 rgba(0,0,0,0.12)!important} .w3-blue,.w3-hover-blue:hover{color:#fff!important;background-color:#2196F3!important} .w3-container{padding:0.01em 16px} .foswikiTopic {font-family: 'Open Sans', sans-serif;} /* Removes location hierarchy (usually written in grey text) */ .patternHomePath {display:none;} /* Removes bar with edit and attach buttons and location hierarchy */ .patternTop{display:none;} h1, h2, h3, h4, h5, h6{font-family: 'Montserrat','Open Sans', sans-serif;font-weight:700;} h1, h2, h3, h4, h5, h6{color:#bf1735;} h1:first-of-type{color:#2a3e6e;margin-bottom:25px;margin-top:5px;} .foswikiImage{margin-left:-9px;} img#mug{padding-right: 40px; padding-bottom:25px; height:250px;} </style>
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Topic revision: r1 - 02 Sep 2020,
AndrewSpieker
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