Nonparametric Estimation And Testing Of Interaction In Additive Models
We consider an additive model with second order interaction terms. It is shown how the components of this model can be estimated using marginal integration, and the asymptotic distribution of the estimators is derived. Moreover, two test statistics for testing the presence of interactions are proposed. Asymptotics for the test functions are obtained, but in this case the asymptotics produce inaccurate results unless the number of observations is very large. For small or moderate sample sizes a bootstrap procedure is suggested and is shown to work well on a simulated example. Finally, our methods are illustrated on a five-dimensional production function for a set of Wisconsin farm data. In particular, the separability hypothesis for the production function is discussed.
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Volume (Year): 18 (2002)
Issue (Month): 02 (April)
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References listed on IDEAS
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- Fuss, Melvyn & McFadden, Daniel & Mundlak, Yair, 1978. "A Survey of Functional Forms in the Economic Analysis of Production," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.), Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 4 McMaster University Archive for the History of Economic Thought.
- Denny, Michael & Fuss, Melvyn A, 1977. "The Use of Approximation Analysis to Test for Separability and the Existence of Consistent Aggregates," American Economic Review, American Economic Association, vol. 67(3), pages 404-18, June.
- Newey, Whitney K., 1994.
"Kernel Estimation of Partial Means and a General Variance Estimator,"
Cambridge University Press, vol. 10(02), pages 1-21, June.
- Newey, W.K., 1992. "Kernel Estimation of Partial Means and a General Variance Estimator," Working papers 93-3, Massachusetts Institute of Technology (MIT), Department of Economics.
- Ernst R. Berndt & Laurits R. Christensen, 1973. "The Internal Structure of Functional Relationships: Separability, Substitution, and Aggregation," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 403-410.
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