Procedures for Testing the Difference of Means with Incomplete Data

Procedures for testing the difference of means are obtained in sampling from a bivariate normal distribution with covariance matrix Σ when some of the observations on one of the variables are missing. A UMP test procedure is obtained when Σ is known. When Σ is not known, exact test procedures may be...

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Bibliographic Details
Published in:Journal of the American Statistical Association 1973-09, Vol.68 (343), p.699-703
Main Author: Lin, Pi-Erh
Format: Article
Language:English
Subjects:
Applied statistics
Covariance matrices
Degrees of freedom
Gaussian distributions
Maximum likelihood estimation
Population mean
Power lines
Statistical discrepancies
T tests
Theory and Methods
Unbiased estimators
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Summary:Procedures for testing the difference of means are obtained in sampling from a bivariate normal distribution with covariance matrix Σ when some of the observations on one of the variables are missing. A UMP test procedure is obtained when Σ is known. When Σ is not known, exact test procedures may be obtained by discarding partial data. To make use of all available data, approximate test procedures are proposed. These procedures are compared to the exact tests, obtained by discarding partial data, using Monte Carlo methods.
ISSN:0162-1459
1537-274X
DOI:10.1080/01621459.1973.10481407