A random decision for testing of the homogeneity of normal means against the tree order alternative

DOI10.15672/hujms.481380zbMath1488.62120OpenAlexW2955037835MaRDI QIDQ5158012

Mohammad Khanjari Sadegh, J. Etminan, Reza Momeni

Publication date: 20 October 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.481380

zbMATH Keywords

likelihood ratio testrestricted maximum likelihood estimatortree order constraintDunnett-type test

Mathematics Subject Classification ID

Hypothesis testing in multivariate analysis (62H15) Parametric inference under constraints (62F30) Bayesian inference (62F15) Paired and multiple comparisons; multiple testing (62J15)

Cites Work

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• Statistical inference under order restrictions in analysis of covariance using a modified restricted maximum likelihood estimator
• Statistical decision theory and Bayesian analysis. 2nd ed
• Quadratic loss of order restricted estimators for treatment means with a control
• Confidence interval estimation subject to order restrictions
• Properties of likelihood inference for order restricted models
• Constrained Statistical Inference
• A Multiple Comparison Procedure for Comparing Several Treatments with a Control
• Further results on testing homogeneity of normal means against simple tree alternatives
• Estimation of parameters in the tree order restriction by a randomized decision
• Tests for a Simple Tree Order Restriction with Application to Dose–Response Studies

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