Expected Mean Squares for the Random Effects One-Way ANOVA Model when Sampling from a Finite Population

被引：0

作者：

Simmachan, Teerawat ^{[1
]}

Borkowski, John J. ^{[2
]}

Budsaba, Kamon ^{[1
]}

机构：

[1] Thammasat Univ, Fac Sci & Technol, Dept Math & Stat, Pathum Thani 12120, Thailand

[2] Montana State Univ, Dept Math Sci, Bozeman, MT 59717 USA

来源：

THAILAND STATISTICIAN | 2012年 / 10卷 / 01期

关键词：

expected mean squares; finite population; finite population correction; random effects model; variance components;

D O I：

暂无

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：

The purpose of this work is to determine the expected value of the mean square error (MSE) and the expected value of the treatment mean square (MStrt) for the random effects one-way ANOVA model assuming a finite population. For the case of balanced data (equal sample sizes), both the expected value of the mean square error and the expected value of the treatment mean square for the finite population are the same as that for the infinite population. For the case of unbalanced data, the expected value of MSE for the finite population is equal to that for the infinite population which is also the same as the expected value for the balanced case. On the other hand, the expected value of MStrt for the finite population is different from that for the infinite population because of the different multiplier values of the population variance (sigma(2)(tau)).

引用

页码：121 / 128

页数：8

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