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 AD-659 994 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 world-test-statistician 'channel'. Theorem 4 provides a method for numerically calculating the exact slope; such calculations are carried out for two-sample Wilcoxon, normal-scores 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