A modified chi-square test for testing equality of two multinomial populations against an order restricted alternative |
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| Authors: | Broderick O Oluyede |
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| Institution: | Department of Mathematics and Computer Science , Georgia State University , Atlanta, GA, 30303-3083 |
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| Abstract: | A modified chi-square test for testing the equality of two multinomial populations against an order restricted alternative in one sample and two sample cases is constructed. The relation between the concepts of dependence by cM-square and stochastic ordering is established, The asymptotic distribution of the test statistic is the chi-bar-square type discussed by Robertson, Wright and Dykstra (1988). Simulations are used to compare the power of this test with the power of the likelihood ratio test of stochastic ordering of the two multinomial populations. |
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| Keywords: | modified chi-square test asymptotic distribution one sample test two sample test ordering nonrml distrihiiion |
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