论文信息 - On difference of means with incomplete data

On difference of means with incomplete data

SUMMARY An estimate of the difference of means is obtained when sampling from a bivariate normal distribution with variances o-2 and o- and correlation p, where some observations on either of the variables are missing. It is shown that this estimate has desirable properties. In this paper a test of the hypothesis of the equality of means is also considered. The above estimate is adopted and three new statistics based on the difference of sample means are proposed for the test. Their empirical powers are computed for different values of p and aw2/o-2

Lawrence E. Stivers | Pi-Erh Lin | P. Lin | L. E. Stivers

[1] T. W. Anderson. Maximum Likelihood Estimates for a Multivariate Normal Distribution when Some Observations are Missing , 1957 .

[2] Calyampudi R. Rao,et al. Advanced Statistical Methods in Biometric Research. , 1953 .

[3] Pi-Erh Lin,et al. Procedures for Testing the Difference of Means with Incomplete Data , 1973 .

[4] Donald F. Morrison,et al. A test for equality of means of correlated variates with missing data on one response , 1973 .

[5] M. Woodbury. A missing information principle: theory and applications , 1972 .

[6] Calyampudi R. Rao,et al. Advanced Statistical Methods in Biometric Research. , 1953 .

[7] J. S. Mehta,et al. Some Properties and an Application of a Statistic Arising in Testing Correlation , 1969 .

[8] Welch Bl. THE GENERALIZATION OF ‘STUDENT'S’ PROBLEM WHEN SEVERAL DIFFERENT POPULATION VARLANCES ARE INVOLVED , 1947 .

[9] Pi-Erh Lin,et al. Estimation Procedures for Difference of Means with Missing Data , 1971 .

[10] J. Gurland,et al. Testing equality of means in the presence of correlation , 1969 .

[11] J. S. Mehta,et al. A test for equality of means in the presence of correlation and missing values , 1973 .