Abstract
We consider a two-factor experiment in which the factors have the same levels with a natural ordering among the levels. Likelihood ratio tests for testing equality of the main effects with a one-sided alternative and for testing the one-sided hypothesis as a null hypothesis are studied. Closed form expressions for the maximum likelihood estimates under the various hypotheses are obtained. The null hypothesis distributions for these test statistics are derived.
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The efforts of the first author were supported by the NSERC of Canada. The efforts of the second author were supported by the Office of Naval Research under Contract ONR N00014-80-C-0321. The efforts of the third author were supported by the Office of Naval Research under Contract ONR N00014-80-C-0322.
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Lee, CI.C., Robertson, T. & Wright, F.T. On the testing of marginal homogeneity with a one-sided alternative in the analysis of variance. Ann Inst Stat Math 41, 149–167 (1989). https://doi.org/10.1007/BF00049115
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DOI: https://doi.org/10.1007/BF00049115