Testing for order among K populations: theory and examples

DOI10.1002/cjs.10041zbMath1190.62091OpenAlexW2131073835MaRDI QIDQ3561486

Ori Davidov, Amir Herman

Publication date: 25 May 2010

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cjs.10041

zbMATH Keywords

stochastic orderorder restricted inferencestatistical selectiondose-responsepartitioning principlemaximally selected chi-bar-square statisticminimal effective dose

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30)

Related Items (6)

Stochastic comparisons of relevation allocation policies in coherent systems ⋮ Inference for the Dimension of a Regression Relationship Using Pseudo-Covariates ⋮ Order-Restricted Semiparametric Inference for the Power Bias Model ⋮ A test for the presence of stochastic ordering under censoring: the \(k\)-sample case ⋮ Non-parametric testing of non-inferiority with censored data ⋮ Extensions of empirical likelihood and chi-squared-based tests for ordered alternatives

Cites Work

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• Nonparametric multiple-comparison methods for simply ordered medians
• The partitioning principle: a powerful tool in multiple decision theory
• A class of non-parametric tests for homogeneity against ordered alternatives
• Multiple Comparisons With the Best Treatment
• A nonparametric likelihood ratio test
• A Likelihood Ratio Test for Stochastic Ordering
• A One-Sided Studentized Range Test for Testing Against a Simple Ordered Alternative
• Maximum Likelihood Estimation of the Survival Functions of N Stochastically Ordered Random Variables
• Tests for a change-point
• Maximally Selected Chi Square Statistics
• A Distribution-Free Test for Stochastic Ordering
• A Non-Parametric Equivalent of Williams' Test for Contrasting Increasing Dose Levels of a Treatment
• The Asymptotic Power Of Jonckheere-Type Tests For Ordered Alternatives
• A Likelihood Ratio Test Against Stochastic Ordering in Several Populations
• A new nonparametric test for the ordered alternative problem
• Tests for Patterned Alternatives in k-Sample Problems
• Adaptive Jonckheere-type tests for ordered alternatives
• Testing Homogeneity Against Ordered Alternatives
• Inferences Under a Stochastic Ordering Constraint
• Tests for a Simple Tree Order Restriction with Application to Dose–Response Studies
• A DISTRIBUTION-FREE k-SAMPLE TEST AGAINST ORDERED ALTERNATIVES

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