A class of exact UMP unbiased tests for conditional symmetry in small-sample square contingency tables

Rolf Aaberge and Li-chun Zhang

Journal of Applied Statistics, 2005, vol. 32, issue 4, 333-340

Abstract: Testing conditional symmetry against various alternative diagonals-parameter symmetry models often provides a point of departure in studies of square contingency tables with ordered categories. Typically, chi-square or likelihood-ratio tests are used for such purposes. Since these tests depend on the validity of asymptotic approximation, they may be inappropriate in small-sample situations where exact tests are required. In this paper, we apply the theory of UMP unbiased tests to develop a class of exact tests for conditional symmetry in small samples. Oesophageal cancer and longitudinal income data are used to illustrate the approach.

Keywords: Multinomial distribution; conditional symmetry; diagonals-parameter symmetry (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1080/02664760500078953

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