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On Testing Equality of Means of Correlated Variates with Incomplete Data
Author(s) -
Bhoj D. S.
Publication year - 1987
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710290510
Subject(s) - mathematics , statistics , statistic , test statistic , bivariate analysis , null distribution , null hypothesis , statistical hypothesis testing , one and two tailed tests , variance (accounting) , chi square test , accounting , business
A statistic is proposed for testing the hypothesis of equality of the means of a bivariate normal distribution with unknown common variance and correlation coefficient when observations are missing on one of the variates. Expressions for the second and fourth central moments of the statistic are obtained. These moments are used to approximate the distribution of the statistic by a Student's t distribution under the null hypothesis. The powers of the test are computed and compared with those of the conventional paired t and the other known statistics.