Robustness of locally most powerful invariant test for normal mixture model in control and treatment populations |
| |
Institution: | Department of Statistics, Loyola College, Madras 600 034, India |
| |
Abstract: | Two independent samples from control with N(μ1, σ2) and treatment with pN(μ1, σ2) + (1 − p)N(μ2, σ2) are considered. A locally most powerful invariant test for testing H0: μ1 = μ2 against H1 : μ2 > μ1, where σ2 > 0, 0 < p < 1 are unknown, is obtained. Also, the robustness of the test statistic on the lines of Kariya and Sinha (Robustness of Statistical Tests (1989). Academic Press, New York) is studied. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|