In this paper,Schefféand Simplified Scheffésimultaneous confidence intervals are firstconstructed for mean difference of several multivariate normal distributions.Then the authors theoreticallyprove that whe...In this paper,Schefféand Simplified Scheffésimultaneous confidence intervals are firstconstructed for mean difference of several multivariate normal distributions.Then the authors theoreticallyprove that when there are only two populations,Bonferroni bounds and Simplified Scheffébounds are the same and they are shorter than Scheffébounds for p10.In the case for 3k10and 2p10,there exists n(p,k)such that Bonferroni method is better than Simplified Schefféprocedure for nn(p,k),otherwise Simplified Schefféprocedure is better.Finally,the authors findout that neither of Scheffécritical values nor Simplified Scheffécritical values are always larger thananother through numerical calculation.展开更多
基金supported by the Natural Science Foundation of China under Grant No.70671043
文摘In this paper,Schefféand Simplified Scheffésimultaneous confidence intervals are firstconstructed for mean difference of several multivariate normal distributions.Then the authors theoreticallyprove that when there are only two populations,Bonferroni bounds and Simplified Scheffébounds are the same and they are shorter than Scheffébounds for p10.In the case for 3k10and 2p10,there exists n(p,k)such that Bonferroni method is better than Simplified Schefféprocedure for nn(p,k),otherwise Simplified Schefféprocedure is better.Finally,the authors findout that neither of Scheffécritical values nor Simplified Scheffécritical values are always larger thananother through numerical calculation.
