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-1j=1Ni Xij and S2 = (∑(Ni-1))-1 ∑(Xij-Xi)2. Then if p ≤ 5 we show Pr(|(μij) - (Xi-Xj) | ≧ S(Ni-1 + Nj-1) qp(α), √21/2 for some i≠ j) ≤α

Comments

This paper was published by the Statistics Center, Cornell University (1979).

Keywords

multiple comparisons, simultaneouos test procedure, simultaneous confidence intervals, one way ANOVA, Kramer's procedure

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Date Posted: 27 November 2017