
Accession Number : AD0686701
Title : ON LARGE DEVIATIONS AND BAHADUR EFFICIENCY OF LINEAR RANK STATISTICS.
Descriptive Note : Technical rept.,
Corporate Author : STANFORD UNIV CALIF DEPT OF STATISTICS
Personal Author(s) : Woodworth,George G.
Report Date : 07 APR 1969
Pagination or Media Count : 62
Abstract : A new, simpler proof of the main theorem of AD659 994 is presented. This theorem enabled one to approximate the sample size needed by a test with type I error alpha to achieve type II error beta at a fixed alternative hypothesis. This approximation involved a quantity called the exact slope, an information number which is, very roughly, something like the channel capacity of the real worldteststatistician 'channel'. Theorem 4 provides a method for numerically calculating the exact slope; such calculations are carried out for twosample Wilcoxon, normalscores and median tests against normal, logistic and double exponential shift alternatives. (Author)
Descriptors : (*STATISTICAL TESTS, SAMPLING), APPROXIMATION(MATHEMATICS), NUMERICAL ANALYSIS, STATISTICAL DISTRIBUTIONS, CONVERGENCE, SEQUENCES(MATHEMATICS), THEOREMS
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE