Inference Sensitivity for Poisson Mixtures

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Abstract
Data presented as contingency tables and classified by qualitative or quantitative methods are usually analyzed on the basis of a Poisson log linear model. The effect of Poisson mixtures, especially as represented by the negative binomial distribution, on statistical inference was examined. The main finding is that probabilities of rejection are increased, sometimes considerably. In the case of heterogeneous binary data, attention is given to the problems of analysis implied by Poisson mixtures.

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