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Semiparametric testing of non-nested models: an application to Engel Curves specification

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  • Mora, Juan

Abstract

This paper proposes a specification test for non-nested semiparametrically specified competing models. The test-statistic is based on an artificial regression procedure. We derive the asymptotic distribution of the test-statistic under the null and alternative hypotheses and the finite-sample properties of the test are studied by means of simulations. The test is applied to discriminate between alternative Engel Curve specifications in share form, which relate total expenditure (X) with percentage of total expenditure spent on a specific good (Y). With data from the 1980 Spanish Family Expenditure Survey, one of the considered forms explains adequately the behaviour of households not contained on the tails of the distribution of X; when the whole data set is used both specifications are rejected possibly due to the fact that seemingly there is not mean dependence between Y and X for households with high total expenditure.

Suggested Citation

  • Mora, Juan, 1994. "Semiparametric testing of non-nested models: an application to Engel Curves specification," DES - Working Papers. Statistics and Econometrics. WS 3953, Universidad Carlos III de Madrid. Departamento de Estadística.
    • Handle: RePEc:cte:wsrepe:3953
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    References listed on IDEAS

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    1. Davidson, Russell & MacKinnon, James G, 1981. "Several Tests for Model Specification in the Presence of Alternative Hypotheses," Econometrica, Econometric Society, vol. 49(3), pages 781-793, May.
    2. Delgado, Miguel A & Mora, Juan, 1995. "Nonparametric and Semiparametric Estimation with Discrete Regressors," Econometrica, Econometric Society, vol. 63(6), pages 1477-1484, November.
    3. Deaton, Angus S & Ruiz-Castillo, Javier & Thomas, Duncan, 1989. "The Influence of Household Composition on Household Expenditure Patterns: Theory and Spanish Evidence," Journal of Political Economy, University of Chicago Press, vol. 97(1), pages 179-200, February.
    4. Fisher, Gordon R., 1983. "Tests for two separate regressions," Journal of Econometrics, Elsevier, vol. 21(1), pages 117-132, January.
    5. Miguel A. Delgado & Thanasis Stengos, 1994. "Semiparametric Specification Testing of Non-nested Econometric Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(2), pages 291-303.
    6. Pollak, Robert A & Wales, Terence J, 1978. "Estimation of Complete Demand Systems from Household Budget Data: The Linear and Quadratic Expenditure Systems," American Economic Review, American Economic Association, vol. 68(3), pages 348-359, June.
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