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An Alternative to Satterthwaite's's Test Involving Positive Linear Combinations of Variance Components.
- Source :
-
Journal of the American Statistical Association . Mar1970, Vol. 65 Issue 329, p404. 9p. - Publication Year :
- 1970
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01621459
- Volume :
- 65
- Issue :
- 329
- Database :
- Academic Search Index
- Journal :
- Journal of the American Statistical Association
- Publication Type :
- Academic Journal
- Accession number :
- 4602393
- Full Text :
- https://doi.org/10.1080/01621459.1970.10481091