Approximate tests in unbalanced two-way random models without interaction

被引：1

作者：

Guven, Bilgehan ^{[1
]}

机构：

[1] Canakkale Onsekiz Mart Univ, Dept Math, TR-17100 Canakkale, Turkey

来源：

STATISTICAL PAPERS | 2012年 / 53卷 / 03期

关键词：

Two-way random model; Asymptotic normality; Approximate F test; Robustness of approximate test; ANOVA; VARIANCE; NUMBER;

D O I：

10.1007/s00362-011-0378-1

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 the presence of non-normality, we consider testing for the significance of the variance components in the unbalanced two-way random model without interaction. The approximate test is based on the F-statistic for this model. The asymptotic distribution of the F-statistic is derived as the number of treatments tends to infinity while the number of observations for a treatment in any block takes value from a finite set of positive integers. Robustness of the approximate test is given.

引用

页码：753 / 766

页数：14

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