Testing equality of variances after a preliminary test of significance for correlation coefficient

On the basis of the outcome of a preliminary test of significance for the population correlation coefficient it is decided as to whether the variance ratio or the sample correlation coefficient between u=(x+y)/2 and v=x−y)/2 is to be used as a test statistic for testing the equality of variances. A...

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Bibliographic Details
Published inJournal of statistical planning and inference Vol. 6; no. 1; pp. 17 - 28
Main Authors Bhattacharjee, G.P., Alam, S.S.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 1982
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Summary:On the basis of the outcome of a preliminary test of significance for the population correlation coefficient it is decided as to whether the variance ratio or the sample correlation coefficient between u=(x+y)/2 and v=x−y)/2 is to be used as a test statistic for testing the equality of variances. A method for determining the critical points for the preliminary test and the main test has been suggested. The power of the test procedure is compared with those of standard tests.
ISSN:0378-3758
1873-1171
DOI:10.1016/0378-3758(82)90052-0