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Comparing two means in count models having random effects - a UMPU test

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  • Omori, Yasuhiro

Abstract

We propose a model for bivariate count data that includes a common random effect; conditional on the random effects; the marginal distributions consist of independent Poisson distributions. Uniformly, most powerful tests are derived for comparing the unconditional means of the two component count distributions for a variety of random effects distributions. The optimal test turns out to be the standard binomial test obtained by conditioning on the total number of events from both components. A numerical calculation is performed to compare the power of the proposed test with the likelihood test under various conditions.

Suggested Citation

  • Omori, Yasuhiro, 1997. "Comparing two means in count models having random effects - a UMPU test," Statistics & Probability Letters, Elsevier, vol. 34(3), pages 225-235, June.
    • Handle: RePEc:eee:stapro:v:34:y:1997:i:3:p:225-235
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