Statistics Papers
Document Type
Technical Report
Date of this Version
1979
Abstract
Let Xij, i = 1, ..., p; j = 1, ... . N1 be independent normal variables with E(Xij) = μi, Var Xij = σ2. Let Xi = Ni-1 ∑j=1Ni Xij and S2 = (∑(Ni-1))-1 ∑(Xij-Xi)2. Then if p ≤ 5 we show Pr(|(μi-μj) - (Xi-Xj) | ≧ S(Ni-1 + Nj-1) qp(α), √21/2 for some i≠ j) ≤α
Keywords
multiple comparisons, simultaneouos test procedure, simultaneous confidence intervals, one way ANOVA, Kramer's procedure
Recommended Citation
Brown, L. D. (1979). A Proof That Kramer's Multiple Comparison Procedure for Differences Between Treatment Means Is Level-α for 3, 4, or 5 Treatments. Retrieved from https://repository.upenn.edu/statistics_papers/174
Date Posted: 27 November 2017
Comments
This paper was published by the Statistics Center, Cornell University (1979).