Article
Keywords:
location problem; $E$-test statistic; $M$-test statistic
Summary:
Simple rank statistics are used to test that two samples come from the same distribution. Šidák’s $E$-test (Apl. Mat. 22 (1977), 166–175) is based on the number of observations from one sample that exceed all observations from the other sample. A similar test statistic is defined in Ann. Inst. Stat. Math. 52 (1970), 255–266. We study asymptotic behavior of the moments of both statistics.
References:
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Theory of rank tests. Academic Press, Orlando, 1967.
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[4] Z. Šidák:
Tables for the two-sample location $E$-test based on exceeding observations. Apl. Mat. 22 (1977), 166–175.
MR 0440791
[5] Z. Šidák, J. Vondráček:
A simple non-parametric test of the difference in location of two populations. Apl. Mat. 2 (1957), 215–221.
MR 0090203