An extension of the Williams trend test to general unbalanced linear models

DOI10.1016/j.csda.2005.02.005zbMath1445.62264OpenAlexW2018610988MaRDI QIDQ959266

Frank Bretz

Publication date: 11 December 2008

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2005.02.005

zbMATH Keywords

linear modelsmultivariate \(t\) distributiontrend testorder restrictionmodified Williams test

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Parametric hypothesis testing (62F03)

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Uses Software

• SAS

Cites Work

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• On the isotonic range statistic for testing against an ordered alternative
• Ordered tests in the analysis of variance
• A Non-Parametric Equivalent of Williams' Test for Contrasting Increasing Dose Levels of a Treatment
• Multiple Test Procedures for Dose Finding
• Analysis of Randomized Dose‐Finding‐Studies: Closure Test Modifications Based on Multiple Contrast Tests
• Robust williams trent test
• Multivariate T-Distributions and Their Applications