✦ LIBER ✦

A BAYESIAN ANALYSIS OF REGRESSION MODELS WITH CONTINUOUS ERRORS WITH APPLICATION TO LONGITUDINAL STUDIES

✍ Scribed by LYLE D. BROEMELING; PEYTON COOK

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 404 KB
Volume: 16
Category: Article
ISSN: 0277-6715
DOI: 10.1002/(sici)1097-0258(19970228)16:4<321::aid-sim418>3.0.co;2-1

No coin nor oath required. For personal study only.

✦ Synopsis

We employ a regression model with errors that follow a continuous autoregressive process to analyse longitudinal studies. In this way, unequally spaced observations do not present a problem in the analysis. We employ a Bayesian approach, where our inferences are based on a direct resampling process that generates values from the posterior distribution of the parameters of the model. We illustrate these Bayesian inferences with an analysis of a longitudinal study that involves the regression of foetal head circumference on menstrual age. Using these same data, we contrast the Bayesian approach with a maximum likelihood technique.

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