An Alternative to Satterthwaite's Test Involving Positive Linear Combinations of Variance Components
作者:
RichardB. Howe,
RaymondH. Myers,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1970)
卷期:
Volume 65,
issue 329
页码: 404-412
ISSN:0162-1459
年代: 1970
DOI:10.1080/01621459.1970.10481091
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
This article proposes a refinement of the usual approximation due to Satterthwaite for making a significance test when the test statistic involves a single mean square in the numerator and a linear combination of mean squares in the denominator, that linear combination involving known positive constants. The test procedure is outlined in detail, and its derivation given in a separate section. The development of the technique essentially involves determining, by successive approximations, a function which serves as the test criterion. This function is given through terms in the cubes of the reciprocals of the degrees of freedom involved in the problem, thereby giving a deviation from the advertised significance level which is smaller (in magnitude) than the deviation provided by the Satterthwaite procedure. An expression approximating the power of the test is also developed.
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