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A Simple Framework for Non-Parametric Specification Testing

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  • Ellison, G.
  • Ellison, F.

Abstract

This paper presents a simple framework for testing the specification of parametric conditional means. The test statistics are based on quadratic forms in the residuals of the null model. Under general assumptions the test statistics are asymptotically normal under the null. With an appropriate choice of the weight matrix, the tests are shown to be consistent and to have good local power. Specific implementations involving matrices of bin and kernel weights are discussed. Finite sample properties are explored in simulations and an application to some parametric models of gasoline demand is presented.
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Suggested Citation

  • Ellison, G. & Ellison, F., 1993. "A Simple Framework for Non-Parametric Specification Testing," Harvard Institute of Economic Research Working Papers 1662, Harvard - Institute of Economic Research.
  • Handle: RePEc:fth:harver:1662
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    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General

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