On the isotonic range statistic for testing against an ordered alternative

DOI10.1016/S0378-3758(01)00274-9zbMath1018.62014OpenAlexW1966489345MaRDI QIDQ1611820

Satoshi Kuriki, Tony Hayter, Hidetoshi Shimodaira

Publication date: 28 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0378-3758(01)00274-9

zbMATH Keywords

order restricted inferenceanalysis of variancemultiple comparisonssimultaneous inferencemonotone contrastsisotonic estimatesrecursive integrationmodified Williams statistics

Mathematics Subject Classification ID

Related Items (10)

Recursive integration methodologies with statistical applications ⋮ Comparing several treatments with a control ⋮ Distribution of ratio of extreme of isotonic estimators of chi-square variables with applications ⋮ An extension of the Williams trend test to general unbalanced linear models ⋮ Calculation of Critical Values for Haibing's Procedure for Successive Comparisons between Ordered Treatment Effects ⋮ Two-sided Confidence Bands with the Inferential Sensitivity of One-Sided Bands ⋮ Successive comparisons between ordered normal means using isotonic regression estimators ⋮ A test of homogeneity of several variances against tree ordered alternative ⋮ Multiplicity adjustment for temporal and spatial scan statistics using Markov property ⋮ Calculations of level probabilities for normal random variables with unequal variances with applications to Bartholomew's test in unbalanced one-way models.

Cites Work

• Inadmissibility of Studentized tests for normal order restricted models
• Dual Cones, Dual Norms, and Simultaneous Inference for Partially Ordered Means
• A TEST OF HOMOGENEITY FOR ORDERED ALTERNATIVES
• A TEST OF HOMOGENEITY FOR ORDERED ALTERNATIVES. II
• TWO-STAGE PROCEDURES FOR TESTING HOMOGENEITY OF MEANS AGAINST ORDERED ALTERNATIVES IN ONE-WAY ANOVA WITH COMMON UNKNOWN VARIANCE
• Use of cumulative efficient scores for testing ordered alternatives in discrete models
• Multiple comparison procedures based on the maximal component of the cumulative chi-squared statistic
• Improved Tests for Comparing Treatments Against a Control and Other One-Sided Problems
• Some inference procedures for monotonically ordered normal means
• A Complete Class Theorem for Multidimensional One-Sided Alternatives
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