Dagne GA. Heterogeneous growth bent-cable models for time-to-event and longitudinal data: application to AIDS studies.
J Biopharm Stat 2018;
28:1216-1230. [PMID:
29953318 DOI:
10.1080/10543406.2018.1489407]
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Abstract
The major limitations of growth curve mixture models for HIV/AIDS data are the usual assumptions of normality and monophasic curves within latent classes. This article addresses these limitations by using non-normal skewed distributions and multiphasic patterns for outcomes of prospective studies. For such outcomes, new skew-t (ST) distributions are proposed for modeling heterogeneous growth trajectories, which exhibit not abrupt but gradual multiphasic changes from a declining trend to an increasing trend over time. We assess these clinically important features of longitudinal HIV/AIDS data using the bent-cable framework within a context of a joint modeling of time-to-event process and response process. A real dataset from an AIDS clinical study is used to illustrate the proposed methods.
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