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December, 1972 On a Class of Aligned Rank Order Tests for the Identity of the Intercepts of Several Regression Lines
Pranab Kumar Sen
Ann. Math. Statist. 43(6): 2004-2012 (December, 1972). DOI: 10.1214/aoms/1177690874

Abstract

Based on $k(\geqq 2)$ independent samples, a class of aligned rank order tests for the hypothesis of homogeneity of intercepts of the $k$ (simple) regression lines is considered here. The alignment procedure is similar to the one in Sen [Ann. Math. Statist. (1969) 19 1668-1683], and the theory is developed with the aid of the fundamental results of Jureckova [Ann. Math. Statist. (1969) 19 1889-1900] on the asymptotic linearity of rank statistics in regression parameters. Local asymptotic optimality of the proposed tests is also studied.

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Pranab Kumar Sen. "On a Class of Aligned Rank Order Tests for the Identity of the Intercepts of Several Regression Lines." Ann. Math. Statist. 43 (6) 2004 - 2012, December, 1972. https://doi.org/10.1214/aoms/1177690874

Information

Published: December, 1972
First available in Project Euclid: 27 April 2007

zbMATH: 0256.62059
MathSciNet: MR359170
Digital Object Identifier: 10.1214/aoms/1177690874

Rights: Copyright © 1972 Institute of Mathematical Statistics

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Vol.43 • No. 6 • December, 1972
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