Rank-order tests for the parallelism of several regression surfaces
type: Item
instance of: scholarly article
title: Rank-order tests for the parallelism of several regression surfaces
zbMATH Open document ID: 0575.62047
DOI: 10.1016/0378-3758(84)90031-4
author: Ching-Yuan Chiang
author: Madan L. Puri
published in: Journal of Statistical Planning and Inference
publication date: 1984-01-01T00:00:00Z
review text: For testing the hypothesis that several (s\(\geq 2)\) linear regression surfaces \(X_{ki}=\alpha_ k\beta_ kc_{ki}+Z_{ki}\) \((k=1,...,s)\) are parallel to one another, i.e., \(\beta_ 1=...=\beta_ s\), a class of rank-order tests are considered. The tests are shown to be asymptotically distribution-free, and their asymptotic efficiency relative to the general likelihood ratio test is derived. Asymptotic optimality in the sense of Wald is also discussed.
Mathematics Subject Classification ID: 62G10
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 62J05
Mathematics Subject Classification ID: 62E20
zbMATH DE Number: 3919568
zbMATH Keywords: parallelism
zbMATH Keywords: linear regression surfaces
zbMATH Keywords: rank-order tests
zbMATH Keywords: asymptotically distribution-free
zbMATH Keywords: likelihood ratio test
zbMATH Keywords: Asymptotic optimality
MaRDI profile type: Publication
full work available at URL: 0378-3758(84)90031-4
OpenAlex ID: W2075877998
cites work: Rank tests of sub-hypotheses in the general linear regression
cites work: Q3254327
cites work: On the Wald-Optimality of Rank-Order Tests for Paired Comparisons
cites work: Q5543905
cites work: Estimating Regression Coefficients by Minimizing the Dispersion of the Residuals
cites work: Asymptotic Linearity of a Rank Statistic in Regression Parameter
cites work: Nonparametric Estimate of Regression Coefficients
cites work: Optimal Invariant Rank Tests for the $k$-Sample Problem
cites work: Tests of hypotheses based on ranks in the general linear model
cites work: Q5647750
cites work: Q3259356
cites work: Q5623132
cites work: On a Class of Rank Order Tests for the Parallelism of Several Regression Lines
cites work: Asymptotically distribution-free aligned rank order tests for composite hypotheses for general multivariate linear models
cites work: Tests of Statistical Hypotheses Concerning Several Parameters When the Number of Observations is Large
description: scientific article; zbMATH DE number 3919568