The adjacent-categories, continuation-ratio and proportional odds logit-link regression models provide useful extensions of the multinomial logistic model to ordinal response data. We propose fitting these models with a logarithmic link to allow estimation of different forms of the risk ratio. Each of the resulting ordinal response log-link models is a constrained version of the log multinomial...

An “effect display” is a graphical or tabular summary of a statistical model based on high-order terms in the model. Effect displays have previously been defined by Fox (1987, 2003) for generalized linear models (including linear models). Such displays are especially compelling for complicated models—for example, those including interactions or polynomial terms. This paper extends effect displa...

This paper introduces a multinomial error model, which models the raw scores from polytomously scored items. The multinomial error model is implemented in this paper for estimating conditional standard errors of measurement and reliability for both raw and scale scores. A simulation study is presented, which suggests that the multinomial conditional standard errors of measurement for the raw an...