×

Contributions to the theory of rank order statistics – the two-sample case. (English) Zbl 0073.13904

Examples are given in the two sample problem to show that the probabilities of the rank orders are not uniformly ordered under alternatives such as slippage. Lehman alternatives, in some cases, provide such an ordering. Power values for Lehman alternatives and the test statistic \(T\) are tabulated for small sample sizes. In the rank ordering of the two samples let \(v_i\) be the number of rank positions occupied by the second sample through rank \(i\). Then \(T=\sum_{i=1}^{m+n}\frac{v_i}{i}\).
Reviewer: D. R. Whitney

MSC:

62G30 Order statistics; empirical distribution functions

Keywords:

Statistics
Full Text: DOI