Annals of Statistics

Using Residuals Robustly I: Tests for Heteroscedasticity, Nonlinearity

P. J. Bickel

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Abstract

We study the asymptotic power functions of tests for heteroscedasticity and nonlinearity in the linear model which were proposed by Anscombe and introduce and study some competitors robust against gross errors.

Article information

Source
Ann. Statist., Volume 6, Number 2 (1978), 266-291.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176344124

Digital Object Identifier
doi:10.1214/aos/1176344124

Mathematical Reviews number (MathSciNet)
MR474625

Zentralblatt MATH identifier
0385.62029

JSTOR
links.jstor.org

Subjects
Primary: 62G20: Asymptotic properties
Secondary: 62G35: Robustness 62J05: Linear regression 62J10: Analysis of variance and covariance

Keywords
Heteroscedasticity nonlinearity robust asymptotic tests linear model one degree of freedom for nonadditivity

Citation

Bickel, P. J. Using Residuals Robustly I: Tests for Heteroscedasticity, Nonlinearity. Ann. Statist. 6 (1978), no. 2, 266--291. doi:10.1214/aos/1176344124. https://projecteuclid.org/euclid.aos/1176344124


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