ON POWER FUNCTIONS OF THE LIKELIHOOD RATIO TESTS FOR THE SIMPLE LOOP ORDER IN NORMAL MEANS - UNEQUAL SAMPLE SIZES

被引：9
作者：
SINGH, B
SCHELL, MJ
机构：
[1] UNIV IOWA, DEPT STAT, IOWA CITY, IA 52242 USA
[2] ST JUDE CHILDRENS RES HOSP, DEPT BIOSTAT, MEMPHIS, TN 38101 USA
来源：
STATISTICS & PROBABILITY LETTERS | 1992年 / 14卷 / 04期
关键词：
SIMPLE LOOP ORDER; LIKELIHOOD RATIO TESTS; POWER FUNCTIONS;
D O I：
10.1016/0167-7152(92)90055-A
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：
Likelihood ratio tests are considered for two testing situations; testing for the homogeneity of normal means against the alternative restricted by a simple loop ordering trend and testing the null hypothesis that the means satisfy the trend against all alternatives. The exact expressions are given for the power functions for the simple loop order, k = 4 and unequal sample sizes, both for the case of known and unknown variances.
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页码：253 / 267
页数：15
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