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Prediction of pregnancy: a joint model for longitudinal and binary data. (English) Zbl 1330.62026

Summary: We consider the problem of predicting the achievement of successful pregnancy, in a population of women undergoing treatment for infertility, based on longitudinal measurements of adhesiveness of certain blood lymphocytes. A goal of the analysis is to provide, for each woman, an estimated probability of becoming pregnant. We discuss various existing approaches, including multiple t-tests, mixed models, discriminant analysis and two-stage models. We use a joint model developed by C. Y. Wang et al. [Biometrics 56, No. 2, 487–495 (2000; Zbl 1060.62541)], consisting of a linear mixed effects model for the longitudinal data and a generalized linear model (glm) for the primary endpoint, (here a binary indicator of successful pregnancy). The joint longitudinal/glm model is analogous to the popular joint models for longitudinal and survival data. We estimate the parameters using Bayesian methodology.

MSC:

62-07 Data analysis (statistics) (MSC2010)
62P10 Applications of statistics to biology and medical sciences; meta analysis
92C50 Medical applications (general)
62J12 Generalized linear models (logistic models)

Citations:

Zbl 1060.62541