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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1973 Volume 18, Issue 4, Pages 831–836 (Mi tvp4389)

Short Communications

On a two-sample test of the variance analysis

I. N. Volodin

Kazan State University, The Faculty of Computer Science and Cybernetics

Abstract: A two-sample test for a linear hypthesis about mean values of $r$ normal populations $\mu_i,\sigma$ is constructed. The power of the test depends on $\Sigma(\mu_i-\overline{\mu})^2$ and is independent of $\sigma$. Two asymptotic methods are proposed for determining the sample size with given probabilities of the errors of the first and the second kind.

Received: 11.04.1972


 English version:
Theory of Probability and its Applications, 1974, 18:4, 790–794

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