Abstract
In this paper, we consider the simultaneous confidence procedure for multiple comparisons with a control among mean vectors from the multivariate normal distributions. Seo[9] proposed a conservative simultaneous confidence procedure for multiple comparisons with a control. Further, Seo[9] conjectured that this procedure always yields the conservative simultaneous confidence intervals. In this paper, we give the affirmative proof of this conjecture in the case of four mean vectors. We also give the upper bound for the conservativeness of the procedure. Finally, numerical results by Monte Carlo simulation are given.
Acknowledgments
The author would like to express his sincere graditude to Professor Takashi Seo for his useful suggestions. The author also would like to thank the referee for his useful comments.
Citation
Takahiro Nishiyama. "On the simultaneous confidence procedure for multiple comparisons with a control." SUT J. Math. 43 (2) 137 - 147, June 2007. https://doi.org/10.55937/sut/1252506325
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