Some Observations in Likelihood Based Fitting of Longitudinal Models for Binary Data

Subir Ghosh ； Arunava Chakravartty

《Journal of Data Science》 7卷3期 (2009/07) Pp. 409-421

https://doi.org/10.6339/JDS.2009.07(3).468

並列摘要

Different models are used in practice for describing a binary longitudinal data. In this paper we consider the joint probability models, the marginal models, and the combined models for describing such data the best. The combined model consists of a joint probability model and a marginal model at two different levels. We present some striking empirical observations on the closeness of the estimates and their standard errors for some parameters of the models considered in describing a data from Fitzmaurice and Laird (1993) and consequently giving new insight from this data. We present the data in a complete factorial arrangement with 4 factors at 2 levels. We introduce the concept of ”data representing a model completely” and explain ”data balance” as well as ”chance balance”. We also consider the best model selection problem for describing this data and use the Search Linear Model concepts known in Fractional Factorial Design research (Srivastava (1975)).

並列關鍵字

Balance ； binary data ； data representing a model ； deviance statistic ； joint probabilities ； likelihood ； longitudinal data ； marginal probabilities ； profile explanatory matrix