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The Inconsistency of the Breusch-Pagan Test

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  • Asad Zaman

    (Lahore University of Management Sciences)

Abstract

The Breusch-Pagan Lagrange Multiplier test for heteroskedascity is supposedly able to detect heteroskedasticity which is an arbitrary function of some set of regressors. We will show that in fact it detects only linear functions. The test is inconsistent for general alternatives, in the sense that its power does not go to 1 as the sample size increases (and in fact, can be arbitrarily low). Since in fact the Breusch-Pagan test is essentially an F test in a special model, we also give necessary and sufficient conditions for the consistency of the F test under misspecification.

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Bibliographic Info

Paper provided by EconWPA in its series Econometrics with number 0205001.

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Length: 10 pages
Date of creation: 23 May 2002
Date of revision:
Handle: RePEc:wpa:wuwpem:0205001

Note: Type of Document - pdf; prepared on ibm-pc; pages: 10 ; figures: none. preprint of article subsequently published in Journal of Economic and Social Research vol 2 number 1 p1-11
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Web page: http://128.118.178.162

Related research

Keywords: Breusch-Pagan test; heteroskedasticity; Lagrange Multiplier Test; Test consistency; F-test; necessary and sufficient conditions for consistency of F test;

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  1. Chesher, Andrew D, 1984. "Testing for Neglected Heterogeneity," Econometrica, Econometric Society, vol. 52(4), pages 865-72, July.
  2. Breusch, T S & Pagan, A R, 1979. "A Simple Test for Heteroscedasticity and Random Coefficient Variation," Econometrica, Econometric Society, vol. 47(5), pages 1287-94, September.
  3. Koenker, Roger, 1981. "A note on studentizing a test for heteroscedasticity," Journal of Econometrics, Elsevier, vol. 17(1), pages 107-112, September.
  4. Jayasri Dutta & Asad Zaman, 1989. "What Do tests for Heteroskedasticity Detect?," Discussion Paper Serie A 248, University of Bonn, Germany.
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