A note on variance components model

被引：0
|
作者：
Kshirsagar, Anant M. [1 ]
Radhakrishnan, R. [2 ]
机构：
[1] Univ Michigan, Biostat Dept, Ann Arbor, MI 48109 USA
[2] Illinois State Univ, Dept Management & Quantitat Methods, Normal, IL 61761 USA
来源：
INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | 2009年 / 40卷 / 02期
关键词：
sum of squares; chi-square distribution; random effects;
D O I：
10.1080/00207390802276192
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
In a balanced design (i.e. a design in which all cells have the same number of observations), if the effects in the linear model are random and normally distributed, the distribution of the ratio of any sum of squares (s.s.) in the ANOVA to the expected value of its mean square (m.s.) has a chi(2) -distribution. In this note, we investigate the conditions under which this ratio is a chi(2) if the design is not balanced.
引用
收藏
页码：287 / 289
页数：5
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