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A Test for Homogeneity of Odds Ratios in Ordered 2 × 2 Tables |
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| Authors: | Arthur Cohen John Kolassa H. B. Sackrowitz |
| Affiliation: | 1. Research supprted by NSF Grant DMS 0092659, R01 Grant CA 063050;2. Department of Statistics, Rutgers University, Piscataway NJ, USA Research supprted by NSA Grant MDA 904-02-1-0039;3. Department of Statistics, Rutgers University, Piscataway NJ, USA Research supprted by NSF Grant DMS 0092659, R01 Grant CA 063050 |
| Abstract: | Consider K ordered 2 × 2 contingency tables. A new test of the null hypothesis that the odds ratios of these tables are equal vs the alternative hypothesis that the odds ratios are nondecreasing, is recommended. The test is exact (non‐asymptotic), is easily carried out (software is available), and has other favorable properties. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
| Keywords: | Directed chi‐square test Conditional P‐values Linear test Pool‐adjacent‐violators algorithm |