Letbe samples ofcindependent random variablesX(i)with continuous cdfF(i)To test the hypothesis, Birnbaum and Hall introduced the statisticsand determined their exact small sample distributions forc= 2,3 andni=njThis paper considers exact small sample distributions for more than three samples (c3) and unequal sample sizes(ni#xA6;nj) and includes representative tables of quantiles under this extension.
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