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Linking semi-Markov processes in time series— an approach to longitudinal data analysis
Journal article   Peer reviewed

Linking semi-Markov processes in time series— an approach to longitudinal data analysis

Charles J. Mode and Michael G. Soyka
Mathematical biosciences, v 51(1), pp 141-164
1980

Abstract

An approach to analyzing longitudinal data by linking absorbing, age-dependent, semi-Markov processes in a kind of time series is illustrated, using data from the Taichung Medical IUD Experiment. Although the immediate application of the methodology is in the field of family planning evaluation, it could be applied in other fields of research, in both the biomedical and the social sciences, when suitable longitudinal data are available. The approach to model building described in this paper is constructive-algorithmic. That is, rather than attempting to derive nice closed formulas, an approach that characterizes much model building in the biological and social sciences, attention is focused on designing algorithms and letting the computer solve the problem for you. This approach permits incorporating a greater degree of realism in the models but at the expense of a larger expenditure of effort in computer programming. From the statistical point of view, the data analysis procedures described herein would be classified as nonparametric. The paper is intended to supply an overview of the methodology along with an illustrative example and not a detailed account of the underlying technical machinery. A more detailed technical appendix is available upon request.

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Collaboration types
Domestic collaboration
Web of Science research areas
Biology
Mathematical & Computational Biology
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