A class of exact UMP unbiased tests for conditional symmetry in small-sample square contingency tables
A class of exact UMP unbiased tests for conditional symmetry in small-sample square contingency tables
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.
333-340
Zhang, Li-chun
a5d48518-7f71-4ed9-bdcb-6585c2da3649
Aaberge, Rolf
c85e0474-1f64-427e-ba57-912c498d33ce
2005
Zhang, Li-chun
a5d48518-7f71-4ed9-bdcb-6585c2da3649
Aaberge, Rolf
c85e0474-1f64-427e-ba57-912c498d33ce
Zhang, Li-chun and Aaberge, Rolf
(2005)
A class of exact UMP unbiased tests for conditional symmetry in small-sample square contingency tables.
Journal of Applied Statistics, 32 (4), .
(doi:10.1080/02664760500078953).
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.
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Published date: 2005
Organisations:
Social Statistics & Demography
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Local EPrints ID: 356400
URI: http://eprints.soton.ac.uk/id/eprint/356400
ISSN: 0266-4763
PURE UUID: 90263216-3343-4c99-b376-aa9330a49de1
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Date deposited: 24 Oct 2013 13:47
Last modified: 15 Mar 2024 03:45
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Author:
Rolf Aaberge
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