期刊
STATISTICAL PAPERS
卷 52, 期 1, 页码 33-51出版社
SPRINGER
DOI: 10.1007/s00362-009-0198-8
关键词
Bias; Characteristic function; Convolution; Independence; Partial symmetry; Increasing trend; Power; Significance
资金
- NSF [DMS 0706041]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1007528] Funding Source: National Science Foundation
For a two-dimensional contingency table of probabilities, the concept of symmetry around the main diagonal is well defined. Statistical hypothesis test of symmetry versus positive bias have also been explored. For tables of higher (three or more) dimensions, however, different concepts of symmetry are available. In this study, we consider statistical inference procedures of symmetry in partial tables versus various biases in three-dimensional tables. We find the maximum likelihood estimates of the cell probabilities and the asymptotic distribution of the likelihood ratio test statistic in each case. Simulation studies are used to investigate the sizes and powers of the tests. The methodologies developed are applied on real data sets.
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