In this work a new type of logits and odds ratios, which includes as special cases the continuation and the reverse-continuation logits and odds ratios, are defined. We prove that these logits and odds ratios define a parameterization of the joint probabilities of a two way contingency table. The problem of testing equality and inequality constraints on these logits and odds ratios is examined with particular regard to two new hypotheses of monotone dependence. © 2007 Springer-Verlag.
Cazzaro, M., Colombi, R. (2008). Modelling two way contingency tables with recursive logits and odds ratios. STATISTICAL METHODS & APPLICATIONS, 17(4), 435-453 [10.1007/s10260-007-0068-2].
Modelling two way contingency tables with recursive logits and odds ratios
CAZZARO, MANUELA;
2008
Abstract
In this work a new type of logits and odds ratios, which includes as special cases the continuation and the reverse-continuation logits and odds ratios, are defined. We prove that these logits and odds ratios define a parameterization of the joint probabilities of a two way contingency table. The problem of testing equality and inequality constraints on these logits and odds ratios is examined with particular regard to two new hypotheses of monotone dependence. © 2007 Springer-Verlag.
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