ONE-SIDED TOLERANCE LIMITS FOR UNBALANCED ONE-WAY ANOVA RANDOM EFFECTS MODEL

被引：16

作者：

BHAUMIK, DK ^{[1
]}

KULKARNI, PM ^{[1
]}

机构：

[1] UNIV SO ALABAMA,DEPT MATH & STAT,MOBILE,AL 36688

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1991年 / 20卷 / 5-6期

关键词：

TOLERANCE LIMIT; NON-CENTRAL-T; SCHUR-CONVEX FUNCTION;

D O I：

10.1080/03610929108830590

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：

In this article, we investigate techniques for constructing tolerance limits such that the probability is gamma that at least p proportion of the population would exceed that limit. We consider the unbalanced case and study the behavior of the limit as a function of n(i)'s (where n(i) is the number of observations in the ith batch), as well as that of the variance ratio. To construct the tolerance limits we use the approximation given in Thomas and Hultquist (1978). We also discuss the procedure for constructing the tolerance limits when the variance ratio is unknown. An example is given to illustrate the results.

引用

页码：1665 / 1675

页数：11

共 7 条

[1] 2-SIDED TOLERANCE LIMITS FOR BALANCED RANDOM-EFFECTS ANOVA MODELS [J].