Some distribution-free k-sample rank tests of homogeneity against ordered alternatives
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1965-05
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Communications on Pure and Applied Mathematics
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Abstract
A problem which occurs frequently in statistical analysis is that of deciding whether several samples should be regarded as coming from the same population. This problem, usually referred to as the k-sample problem, when expressed formally is stated as follows: Let $X_{ii} , j = 1, · · · , m_i, i = 1, · · · , k,$ be a set of independent random variables and let $F_i(x)$ be the probability distribution function of $X_{ii}$ . The set of admissible hypotheses designates that each $F_i$ belongs to some class of distribution functions $\Omega$.
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Puri, M. L. "Some distribution- free k-sample rank tests of homogeneity against ordered alternatives." Communications on Pure and Applied Mathematics (1965), Volume 18 Issue 1, 51-63.
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