LOG LINEAR REPRESENTATION FOR PAIRED AND MULTIPLE COMPARISONS MODELS
成果类型：
Article
署名作者：
FIENBERG, SE; LARNTZ, K
署名单位：
University of Minnesota System; University of Minnesota Twin Cities
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.1093/biomet/63.2.245
发表日期：
1976
页码：
245254
关键词：
摘要：
Log linear model representations for the Bradley-Terry paired comparisons and Luce multiple comparisons models are developed. Various multivariate extensions of the Bradley-Terry model are considered. A model is presented, similar to one of Davidson and Bradley (1969), but which is based on the log odds ratio as a measure of association rather than the .phi. coefficient of correlation. By the adaptive use of log linear model theory, complex data sets involving paired and multiple comparisons as well as rankings may be easily analyzed. In all cases estimates of cell expectations may be computed using an interative proportional scaling algorithm that is computationally easy to carry out. An example is given, using data on taste, color and texture of pudding.
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