Approximate repeated-measures shrinkage
Adam R. Brentnall,
Martin J. Crowder and
David J. Hand
Computational Statistics & Data Analysis, 2011, vol. 55, issue 2, 1150-1159
Abstract:
A general method is formalised for the problem of making predictions for a fixed group of individual units, following a sequence of repeated measures on each. A review of some related work is undertaken and, using some of its terminology, the approach might be described as approximate non-parametric empirical Bayes prediction. It is contended that the method may often produce predictions that are, in practice, comparable or not much worse than more sophisticated methods, but sometimes for a smaller computational cost. Two examples are used to demonstrate the approach, exploring the prediction of baseball averages and spatial-temporal rainfall. The method performs favourably in both examples in comparison with James-Stein, empirical Bayes and other predictions; it also provides a relatively simple and computationally feasible way of determining whether it is worth modelling between-individual variability.
Keywords: Empirical; Bayes; Prediction; Random; effects (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:55:y:2011:i:2:p:1150-1159
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