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Testing the Constancy of Regression Relationships Over Time Using Least Squares Residuals

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  • B. P. M. McCabe
  • M. J. Harrison

Abstract

A test of the stability over time of the coefficients of a linear regression model is developed using the cumulative sum (cusum) of squares of the ordinary least squares residuals. An example of the application of the test is given. The power of the test under two systems of coefficient variation is examined using Monte Carlo simulation and compared with the power of the original Brown–Durbin–Evans variant of the test based on recursive residuals.

Suggested Citation

  • B. P. M. McCabe & M. J. Harrison, 1980. "Testing the Constancy of Regression Relationships Over Time Using Least Squares Residuals," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 29(2), pages 142-148, June.
    • Handle: RePEc:bla:jorssc:v:29:y:1980:i:2:p:142-148
    DOI: 10.2307/2986299
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    Cited by:

    1. Perron, Pierre & Yabu, Tomoyoshi, 2009. "Estimating deterministic trends with an integrated or stationary noise component," Journal of Econometrics, Elsevier, vol. 151(1), pages 56-69, July.
    2. Olmo, Jose & Pilbeam, Keith & Pouliot, William, 2011. "Detecting the presence of insider trading via structural break tests," Journal of Banking & Finance, Elsevier, vol. 35(11), pages 2820-2828, November.
    3. Watson, G. S., 1995. "Detecting a change in the intercept in multiple regression," Statistics & Probability Letters, Elsevier, vol. 23(1), pages 69-72, April.
    4. Olmo, J. & Pilbeam, K. & Pouliot, W., 2009. "Detecting the Presence of Informed Price Trading Via Structural Break Tests," Working Papers 09/10, Department of Economics, City University London.
    5. Deng, Ai & Perron, Pierre, 2008. "The Limit Distribution Of The Cusum Of Squares Test Under General Mixing Conditions," Econometric Theory, Cambridge University Press, vol. 24(3), pages 809-822, June.
    6. Anders Westlund, 1984. "Sequential moving sums of squares of OLS residuals in parameter stability testing," Quality & Quantity: International Journal of Methodology, Springer, vol. 18(3), pages 261-273, May.
    7. repec:cty:dpaper:10.1016/j.jbankfin.2011.03.013 is not listed on IDEAS
    8. Deng, Ai & Perron, Pierre, 2008. "A non-local perspective on the power properties of the CUSUM and CUSUM of squares tests for structural change," Journal of Econometrics, Elsevier, vol. 142(1), pages 212-240, January.
    9. Yao Rao & Brendan McCabe, 2020. "Structural Change and the Problem of Phantom Break Locations," Manchester School, University of Manchester, vol. 88(1), pages 211-228, January.
    10. repec:cty:dpaper:1580 is not listed on IDEAS
    11. Nielsen, Bent & Sohkanen, Jouni S., 2011. "Asymptotic Behavior Of The Cusum Of Squares Test Under Stochastic And Deterministic Time Trends," Econometric Theory, Cambridge University Press, vol. 27(4), pages 913-927, August.
    12. Nielsen, Bent & Sohkanen, Jouni S., 2011. "Asymptotic Behavior Of The Cusum Of Squares Test Under Stochastic And Deterministic Time Trends," Econometric Theory, Cambridge University Press, vol. 27(04), pages 913-927, August.

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