期刊
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
卷 110, 期 510, 页码 573-582出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/01621459.2015.1016223
关键词
Interanimal variability; Latent performance; Mixed response
资金
- SEDSU project - European Community [012-984 NESTPathfinder]
- INCORE project - European Community [043318]
In recent years, substantial effort has been devoted to methods for analyzing data containing mixed response types, but such techniques typically do not include rank data among the response types. Some unique challenges exist in analyzing rank data, particularly when ties are prevalent. We present techniques for jointly modeling binomial and rank data using Bayesian latent variable models. We apply these techniques to compare the cognitive abilities of nonhuman primates based on their performance on 17 cognitive tasks scored on either a rank or binomial scale. To jointly model the rank and binomial responses, we assume that responses are implicitly determined by latent cognitive abilities. We then model the latent variables using random effects models, with identifying restrictions chosen to promote parsimonious prior specification and model inferences. Results from the primate cognitive data are presented to illustrate the methodology. Our results suggest that the ordering of the cognitive abilities of species varies significantly across tasks, suggesting a partially independent evolution of cognitive abilities in primates. Supplementary materials for this article are available online.
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