NONPARAMETRIC COMPARISON OF TREATMENTS WITH A STANDARD IN THE ONE-WAY LAYOUT - SOME DESIGN CONSIDERATIONS

被引：1

作者：

CHAKRABORTI, S ^{[1
]}

GIBBONS, JD ^{[1
]}

机构：

[1] UNIV ALABAMA,DEPT MANAGEMENT SCI & STAT,TUSCALOOSA,AL 35487

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1993年 / 22卷 / 01期

关键词：

DESIGN CONSIDERATIONS IN THE ONE-WAY LAYOUT; SAMPLE SIZE; NONPARAMETRIC TESTS; SIGN TEST; SUM TEST; MINIMUM TEST; POWER;

D O I：

10.1080/03610929308831002

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Previously two nonparametric tests were proposed for one-sided comparison of k treatments with a known standard in the one-way layout. The tests are based on (1) the sum, and (2) the minimum, of the k individual one-sided sign test statistics. In this paper we give expressions for the size and power of each test. For specified size and power these formulas are solved simultaneously to determine the minimum sample size and corresponding rejection region for each test. Large sample solutions based on the normal approximation are also given. Specific tables of exact and approximate solutions are given for k = 2 treatments.

引用

页码：1 / 14

页数：14