Journal
COMPUTATIONAL STATISTICS & DATA ANALYSIS
Volume 52, Issue 12, Pages 5344-5355Publisher
ELSEVIER
DOI: 10.1016/j.csda.2008.05.030
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Funding
- Yale Center for Interdisciplinary Research in AIDS [MH62294]
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We describe a Dirichlet multivariable regression method useful for modeling data representing components as a percentage of a total. This model is motivated by the unmet need in psychiatry and other areas to simultaneously assess the effects of covariates on the relative contributions of different components of a measure. The model is illustrated using the Positive and Negative Syndrome Scale (PANSS) for assessment of schizophrenia symptoms which, like many other metrics in psychiatry, is composed of a sum of scores on several components, each in turn, made up of sums of evaluations on several questions. We simultaneously examine the effects of baseline socio-demographic and comorbid correlates on all of the components of the total PANSS score of patients from a schizophrenia clinical trial and identify variables associated with increasing or decreasing relative contributions of each component. Several definitions of residuals are provided. Diagnostics include measures of overdispersion, Cook's distance, and a local jackknife influence metric. (C) 2008 Elsevier B.V. All rights reserved.
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