Testing Equality of Mean Vectors in Two Sample Problem with Missing Data

References

• Anderson , T. W. , Olkin , I. ( 1985 ). Maximum-likelihood estimation of the parameters of a multivariate normal distribution . Linear Algebra and its Applications 70 : 147 – 171 .
   Web of Science ®Google Scholar
• Bennett , B. M. ( 1951 ). Note on a solution of the generalized Behrens–Fisher problem . Annals of the Institute Statistical Mathematics 2 : 87 – 90 .
   Google Scholar
• Hotelling , H. (1931). The generalization of student's ratio. Annals of Mathematical Statistics 2:360–378.
   Google Scholar
• James , G. S. ( 1954 ). Tests of linear hypotheses in univariate and multivariate analysis when the ratios of the population variances are unknown . Biometrika 41 : 19 – 43 .
   Web of Science ®Google Scholar
• Kanda , T. , Fujikoshi , Y. ( 1998 ). Some basic properties of the MLE's for a multivariate normal distribution with monotone missing data . American Journal of Mathematical and Management Sciences 18 : 161 – 190 .
   Google Scholar
• Koizumi , K. , Seo , T. ( 2009 ). Testing equality of two mean vectors and simultaneous confidence intervals in repeated measures with missing data . Journal of the Japanese Society of Computational Statistics 22 : 33 – 41 .
   Google Scholar
• Scheffé , H. ( 1943 ). On solutions of the Behrens–Fisher problem, based on the t-distribution . Annals of the Mathematical Statistics 14 : 35 – 44 .
   Google Scholar
• Seo , T. , Srivastava , M. S. ( 2000 ). Testing equality of means and simultaneous confidence intervals in repeated measures . Biometrical Journal 42 : 981 – 993 .
   Web of Science ®Google Scholar
• Srivastava , M. S. ( 1985 ). Multivariate data with missing observations . Communications in Statistics—Theory and Methods 14 : 775 – 792 .
   Web of Science ®Google Scholar
• Srivastava , M. S. , Carter , E. M. ( 1986 ). The maximum likelihood method for non-response in sample survey . Survey Methodology 12 : 61 – 72 .
   Google Scholar
• Welch , B. L. ( 1938 ). The significance of the difference between two means when the population variances are unequal . Biometrika 29 : 350 – 362 .
   Web of Science ®Google Scholar
• Yanagihara , H. , Yuan , K. H. ( 2005 ). Three approximate solutions to the multivariate Behrens–Fisher problem . Communications in Statistics Simulation and Computation 34 : 975 – 988 .
   Web of Science ®Google Scholar