Abstract
For the balanced two-way layout of a count response variable Y classified by fixed or random factors A and B, we address the problems of (i) testing for individual and interactive effects on Y of two fixed factors, and (ii) testing for the effect of a fixed factor in the presence of a random factor and conversely. In case (i), we assume independent Poisson responses with μij = E(Y| A = i, B = j) = α iβjϒijor α iβj corresponding respectively to the multiplicative interactive and non-interactive cases. For case (ii) with factor A random, we derive a multivariate gamma-Poisson model by mixing on the random variable associated with each level of A. In each case Neyman C(α) score tests are derived.
Original language | English (US) |
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Pages (from-to) | 3017-3036 |
Number of pages | 20 |
Journal | Communications in Statistics - Theory and Methods |
Volume | 21 |
Issue number | 10 |
DOIs | |
State | Published - Jan 1 1992 |
Keywords
- Count data
- Interaction
- Neyman C(a) test
- Poisson mixture
- Two-way layout
ASJC Scopus subject areas
- Statistics and Probability