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Model Specification Tests Based on Artificial Linear Regressions

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  • Davidson, Russell
  • MacKinnon, James G.

Abstract

In this paper we develop an extremely 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 various models are not the same. For example, it is straightforward to test linear regression models against loglinear ones. These procedures are illustrated by an empirical application, in which we estimate and test several competing models of personal savings behavior in Canada.

Suggested Citation

  • Davidson, Russell & MacKinnon, James G., 1980. "Model Specification Tests Based on Artificial Linear Regressions," Queen's Institute for Economic Research Discussion Papers 275162, Queen's University - Department of Economics.
    • Handle: RePEc:ags:queddp:275162
    DOI: 10.22004/ag.econ.275162
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    References listed on IDEAS

    as
    1. Pesaran, M H & Deaton, Angus S, 1978. "Testing Non-Nested Nonlinear Regression Models," Econometrica, Econometric Society, vol. 46(3), pages 677-694, May.
    2. Engle, Robert F., "undated". "A General Approach To The Construction Of Model Diagnostics Based Upon The Lagrange Multiplier Principle," Economic Research Papers 269054, University of Warwick - Department of Economics.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    Full references (including those not matched with items on IDEAS)

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    Keywords

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    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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