Interval censored (IC) failure time data are often observed in medical follow-up studies and clinical trials where subjects can only be followed periodically, and the failure time can only be known to lie in an interval. In this paper, we propose a weightedWilcoxontype rank test for the problem of comparing two IC samples. Under a very general sampling technique developed by Fay (1999), the mea...

Riassunto: La stima della probabilità di riproducibilità (RP) di una significatività statistica consiste nella stima a posteriori della potenza, ed è un indicatore dell’affidabilità dei risultati dei test statistici. Si analizzano qui alcuni metodi per la stima, puntuale e per intervalli, della RP per il test di Wilcoxon, e si comparano tramite uno studio di simulazione. Si evince che la soluzi...

where F1, F2 are cumulative distributions (discrete or continuous) of the observations and Tis their upper limit. The test is shown to be asymptotically normal and consistent against one-sided alternatives F1(t) < F2(t) (t ~ T) and against two-sided alternatives where either F1(t) < F2(t) or F1(t) > F2(t) (t ~ T). The asymptotic efficiency of the test relative to the efficient parametric test w...

We show the combinatorics behind the Wilcoxon-Mann-Whitney two-sample test. This yields new combinatorial proofs of recurrences for its null distribution given recently by Brus and Chang, as well as new recurrences. It is shown how to convert these recurrences into generating functions. These generating functions are used to obtain closed expressions for the null distribution when one of the sa...

The authors present an improved ranked set two-sample Mann-Whitney-Wilcoxon test for a location shift between samples from two distributions F and G. They define a function that measures the amount of information provided by each observation from the two samples, given the actual joint ranking of all the units in a set. This information function is used as a guide for improving the Pitman effic...