Testing homogeneity of control and treatment populations — local optimality and related issues
Durairajan and Raman (1996 a, b) studied the robustness of Locally most powerful invariant (LMPI) tests for compound normal model in control and treatment populations. In the present paper, the Locally most powerful (LMP) tests are constructed for no contamination in normal mixture model through tes...
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| Veröffentlicht in: | Statistical papers (Berlin, Germany) Germany), 2002-04, Vol.43 (2), p.257-271 |
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| creator | Raman, K. J. Surairajan, T. M. |
| description | Durairajan and Raman (1996 a, b) studied the robustness of Locally most powerful invariant (LMPI) tests for compound normal model in control and treatment populations. In the present paper, the Locally most powerful (LMP) tests are constructed for no contamination in normal mixture model through testing the parameter of mixture of distributions and the mixing proportion. The expected performance of LMP tests are compared using Efron's Statistical Curvature on the lines of Sen Gupta and Pal (1991). The Locally most powerful similar (LMPS) tests for the equality of control and treatment populations in the presence of nuisance parameters are also constructed. Further, the null and non-null distributions of the test statistics are derived and some power computations are made. |
| doi_str_mv | 10.1007/s00362-002-0099-6 |
| format | Article |
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| source | Business Source Complete; SpringerLink Journals - AutoHoldings |
| subjects | Homogeneity Model testing Parameters Population Populations Probabilistic models Random variables Sample size Statistical tests Statistics Teaching methods |
| title | Testing homogeneity of control and treatment populations — local optimality and related issues |
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