On the Hypothesis of No Interaction on a Linear Scale in Contingency Tables |
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| Authors: | Jacqueline Lan Dana D.V. Gokhale |
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| Affiliation: | 1. Department of Mathematics , California State University , Fullerton, CA;2. Department of Statistics , University of California , Riverside, CA |
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| Abstract: | The purpose of this paper is to review briefly the three main formulations of no Interaction hypotheses in contingency tables and to consider the formulation on a linear scale in some detail.More specifically we (i) present a situation in 2×2 tables where such a formulation may be more appropriate than others, (ii) study the geometry for this problem, (iii) give contrast-type or parametric ANOVA type formulations in the general n-dimensional tables, (iv) discuss estimation and testing procedures and (v) consider collapsibility of contingency tables in relation to the hypotheses of no interaction on a linear scale. |
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| Keywords: | contingency tables no interaction on a linear scale maximum likelihood and minimum discrimination information approaches |
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