Sampling Schemes and the Selection of Log-Linear Models for Longitudinal Data

Abstract

Because the selection of a sampling scheme can have strong effects on the admissibility of log-linear models, the authors discuss these effects for the multinomial and the product multinomial sampling schemes for prospective and retrospective sampling.In multi-nomial sampling, marginal frequencies are not fixed a priori.In product multinomial sampling, uni-or multidimensional marginal frequencies are considered fixed.Therefore, models must fit these marginal frequencies exactly.A data example illustrates model selection using data from a project of family development.