Testing Whether One Regression Function Is Larger Than Another

Roger L. Berger

doi:10.1080/03610928408828796

Testing Whether One Regression Function Is Larger Than Another

Roger L. Berger

Arizona State University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The problem of testing whether one regression function is larger than another on a specified set R is considered, The regression functions must be linear functions of the parameters but need not be linear functions of the independent variables, The proposed test has an exactly specified size in typical situations. The test's critical value is a standard t percentile. The power function of the test is investigated.

Original language	English (US)
Pages (from-to)	1793-1810
Number of pages	18
Journal	Communications in Statistics - Theory and Methods
Volume	13
Issue number	15
DOIs	https://doi.org/10.1080/03610928408828796
State	Published - Jan 1 1984

Keywords

fractional programming
intersection-union tests
size-α test
t-distribution

ASJC Scopus subject areas

Statistics and Probability

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10.1080/03610928408828796

Cite this

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keywords = "fractional programming, intersection-union tests, size-α test, t-distribution",

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note = "Funding Information: This research was supported i n part by the U. S. Army Research Office Grant No. DAAG 29-82-K-0168 at Florida State University, The United States Government is authorized to reproduce and distribute reprints for governmental purposes.",

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KW - intersection-union tests

KW - size-α test

KW - t-distribution

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Testing Whether One Regression Function Is Larger Than Another

Abstract

Keywords

ASJC Scopus subject areas

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