Abstract
This paper concerns continuation ratio models for multinomial responses. These are conditional probabilities used in logit models to define the dependence of the multinomial proportions on explanatory variables and unknown parameters. A distinctive feature of these models is that if one models the various continuation ratios separately, then the resulting estimates and test statistics are asymptotically independent. This allows the partitioning of likelihood ratio statistics and the search for effects in specific categories of an ordinal response variable. Models that use the same parameters for different continuation ratios are suitable for estimating more global differences. The fitting of these models to actual data is illustrated, including an example from a pharmaceutical study. The results show that different models are suitable for modelling complementary sorts of differences between multinomial response distributions.
Original language | English (US) |
---|---|
Pages (from-to) | 435-441 |
Number of pages | 7 |
Journal | Statistics in Medicine |
Volume | 7 |
Issue number | 3 |
DOIs | |
State | Published - Mar 1988 |
Externally published | Yes |
Keywords
- Continuation ratios
- Exponential family models
- Logit models
- Ordered multinomial
ASJC Scopus subject areas
- Epidemiology
- Statistics and Probability