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NathanJames4December2019
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TawannaPeters
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%HEAD{ NAME="Nathan James" AFFILIATION="Vanderbilt University School of Medicine" TITLE="Bayesian Cumulative Probability Models for Continuous and Mixed Outcomes " IMAGELINK="https://cdn.vanderbilt.edu/vu-wp0/wp-content/uploads/sites/190/2017/11/05144958/EA6A32FD-A63B-4186-9E58-7FAC8BE52703-e1536167525424.jpeg" }% Ordinal cumulative probability models (CPMs) such as the proportional odds regression model are typically used for discrete ordered outcomes, but can accommodate both continuous and mixed discrete/continuous outcomes. Recent papers by Liu et al. and Tian et al. describe the advantages of ordinal CPMs in this setting using non-parametric maximum likelihood estimation (NPMLE), however the extension to Bayesian inference has not been thoroughly explored. We formulate a Bayesian CPM for continuous or mixed outcome data. Bayesian CPMs have advantages over frequentist CPMs with regard to interpretation, flexibility/extendability, and exact inference (within simulation error) when the log-likelihood is not well-approximated by a quadratic function. We explore characteristics of the Bayesian CPM through simulations and a case study using HIV biomarker data. %TAIL{DATE="4 December 2019"}% <!-- * Set HEAD = <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>MRBIII, Room 1220<br>%DATE%<br>1:30pm</h3></div></div><br>[[%TOPIC%Itinerary][Speaker Itinerary]] --> <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 - 21 Nov 2019,
TawannaPeters
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