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Model Specification Tests Based on Artificial Linear Regressions

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  • Russell Davidson
  • James G. MacKinnon

Abstract

This paper develops a general procedure for performing a wide variety of model specification tests by running artificial linear regressions and then using conventional significance tests. In particular, this procedure allows us to develop non-nested hypothesis tests for any set of models which attempt to explain the same dependent variable(s), even when the error specifications of the models differ. For example, it is straightforward to test linear regression models against loglinear ones. These procedures are illustrated with an application to estimate competing models of personal savings in Canada.

Suggested Citation

  • Russell Davidson & James G. MacKinnon, 1980. "Model Specification Tests Based on Artificial Linear Regressions," Working Paper 390, Economics Department, Queen's University.
    • Handle: RePEc:qed:wpaper:390
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    References listed on IDEAS

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    1. Cooper, J Phillip, 1972. "Asymptotic Covariance Matrix of Procedures for Linear Regression in the Presence of First- Order Autoregressive Disturbances," Econometrica, Econometric Society, vol. 40(2), pages 305-310, March.
    2. Engle, Robert F, 1979. "A general Approach to the Construction of Model Diagnostics based upon the Lagrange Multiplier Principle," The Warwick Economics Research Paper Series (TWERPS) 156, University of Warwick, Department of Economics.
    3. Durbin, J, 1970. "Testing for Serial Correlation in Least-Squares Regression When Some of the Regressors are Lagged Dependent Variables," Econometrica, Econometric Society, vol. 38(3), pages 410-421, May.
    4. Godfrey, Leslie G, 1978. "Testing against General Autoregressive and Moving Average Error Models When the Regressors Include Lagged Dependent Variables," Econometrica, Econometric Society, vol. 46(6), pages 1293-1301, November.
    5. Pesaran, M H & Deaton, Angus S, 1978. "Testing Non-Nested Nonlinear Regression Models," Econometrica, Econometric Society, vol. 46(3), pages 677-694, May.
    6. Breusch, T S & Pagan, A R, 1979. "A Simple Test for Heteroscedasticity and Random Coefficient Variation," Econometrica, Econometric Society, vol. 47(5), pages 1287-1294, September.
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    More about this item

    JEL classification:

    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L22 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Organization and Market Structure
    • L68 - Industrial Organization - - Industry Studies: Manufacturing - - - Appliances; Furniture; Other Consumer Durables

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