A Test of Whether Two Parallel Regression Lines Are the Same When the Variances May Be Unequal

Author(s):

Potthoff, Richard F.

Publication Year:

1962

Report Number:

RB-62-30

Source:

ETS Research Bulletin

Document Type:

Report

Page Count:

22

Subject/Key Words:

United States Air Force Office of Scientific Research, Hypothesis Testing, Regression (Statistics), Statistical Analysis

Abstract

This paper considers a situation where one has two regression lines which are known to be parallel, with the two sets of error terms assumed to be normally distributed but with (possibly) different variances. The paper presents a test of the hypothesis that the two regression lines are identical (i.e., the two a- coefficients are equal). The test is analogous to the Wilcoxon test. The discussion in this paper is on a rather technical level; for a less technical discussion of the test, see Research Bulletin 62-31.

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• http://dx.doi.org/10.1002/j.2333-8504.1962.tb00491.x