Simultaneous confidence interval estimation for successive comparisons of ordered treatment effects

DOI10.1016/S0378-3758(99)00209-8zbMath1092.62560MaRDI QIDQ1578222

Wei Liu, Tetsuhisa Miwa, Anthony J. Hayter

Publication date: 8 January 2003

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

Simultaneous confidence intervalsCritical pointsPairwise comparisonsContrastsMultivariate-t distributionOrdered inferenceRecursive integration

Mathematics Subject Classification ID

Related Items (24)

Exact simultaneous confidence intervals for a finite set of contrasts of three, four or five generally correlated normal means ⋮ Recursive integration methodologies with statistical applications ⋮ Multiple Comparison Procedures for Location Parameters: Logistic Populations Case ⋮ A note on successive comparisons between several ordered variances ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A multiple directional decision procedure for successive comparisons of treatment effects ⋮ Simultaneous testing for the successive differences of exponential location parameters under heteroscedasticity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Simultaneous confidence intervals for ordered pairwise differences of exponential location parameters under heteroscedasticity ⋮ Obtaining Critical Values for Simultaneous Confidence Intervals and Multiple Testing ⋮ A-Optimal and MV-Optimal Incomplete Block Designs for Comparing Successive Treatments ⋮ A closed testing procedure for comparing successive exponential populations with respect to location parameter ⋮ Stepwise multiple tests for successive comparisons of treatment effects ⋮ Multiple comparison procedures for detecting differences in simply ordered means ⋮ Calculation of Critical Values for Haibing's Procedure for Successive Comparisons between Ordered Treatment Effects ⋮ Percentage Points of the Multivariate t Distribution ⋮ Successive comparisons between ordered normal means using isotonic regression estimators ⋮ Simultaneous Testing for the Successive Differences of Exponential Location Parameters ⋮ A connection between successive comparisons and ranking procedures ⋮ Simultaneous confidence intervals for the successive ratios of scale parameters ⋮ Tests for successive differences of quantiles ⋮ Max-min multiple comparison procedure for isotonic dose-response curves

Uses Software

• NAG
• nag

Cites Work

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• Simultaneous statistical inference. 2nd ed
• Successive comparison between ordered treatments
• Calculations of level probabilities for normal random variables with unequal variances with applications to Bartholomew's test in unbalanced one-way models.
• Multiple Comparisons
• A TEST OF HOMOGENEITY FOR ORDERED ALTERNATIVES
• Ordered tests in the analysis of variance
• A One-Sided Studentized Range Test for Testing Against a Simple Ordered Alternative

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