SPECTRAL-ANALYSIS FOR DISCRETE LONGITUDINAL DATA

We develop a Fourier type of analysis for data consisting of many short strings X1, X2, …, Xn, with Xi = (Xi1, …, Xip). The paper offers an approach testing and residual analysis based on a group theoretic decomposition of the sample space. This is illustrated on a physical chance type data set where it is natural to allow each string to have its own parameter (i.i.d. coin-tossing with parameter varying from string to string). The usual model is rejected. © 1994 Academic Press, Inc. All rights reserved.