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Pooling Under Misspecification: Some Monte Carlo Evidence on the Kmenta and the Error Components Techniques

Published online by Cambridge University Press:  18 October 2010

Badi H. Baltagi
Affiliation:
University of Houston, Houston, Texas

Extract

Two different methods for pooling time series of cross section data are used by economists. The first method, described by Kmenta, is based on the idea that pooled time series of cross sections are plagued with both heteroskedasticity and serial correlation.The second method, made popular by Balestra and Nerlove, is based on the error components procedure where the disturbance term is decomposed into a cross-section effect, a time-period effect, and a remainder.Although these two techniques can be easily implemented, they differ in the assumptions imposed on the disturbances and lead to different estimators of the regression coefficients. Not knowing what the true data generating process is, this article compares the performance of these two pooling techniques under two simple setting. The first is when the true disturbances have an error components structure and the second is where they are heteroskedastic and time-wise autocorrelated.

First, the strengths and weaknesses of the two techniques are discussed. Next, the loss from applying the wrong estimator is evaluated by means of Monte Carlo experiments. Finally, a Bartletfs test for homoskedasticity and the generalized Durbin-Watson test for serial correlation are recommended for distinguishing between the two error structures underlying the two pooling techniques.

Type
Articles
Copyright
Copyright © Cambridge University Press 1986

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References

REFERENCES

1.Amemiya, T.The estimation of variances in a variance-components Model. International Economic Review 12 (1971): 113.Google Scholar
2.Anderson, R. L. and Bancroft, T. A.. Statistical Theory in Research. New York: McGraw-Hill, 1952.Google Scholar
3.Balestra, P. and Nerlove, M.. Pooling cross-section and time-series data in the estimation of a dynamic model: The demand for natural gas. Econometrica 34 (1966): 585–612.Google Scholar
4.Baltagi, B., Pooling, H.: An experimentalstudy of alternative testing and estimation procedures in a two-way error components model. Journal of Econometrics 17 (1981): 21–49.Google Scholar
5.Bhargava, A., Franzini, L., and Narendranathan, W.. Serial correlation and the fixed effects model. Review of Economic Studies 49 (1982): 533549.Google Scholar
6.Breusch, T. S. Useful invariance results for generalized regression models. Journal of Econometrics 13 (1980): 327340.Google Scholar
7.Drummond, D. J. and Gallant, R. A.. TSCSREG: A SAS procedure for the analysis of time series cross-section data, Mimeograph Series No. 1107, Institute of Statistics, North Carolina State University, 1977.Google Scholar
8.Fuller, W. A. and Battese, G. E.. Estimation of linear models with cross-error structure. Journal of Econometrics 2 (1974): 6778.Google Scholar
9.Griffin, J. M.The welfare implications of externalities and price elasticities for telecommunications pricing. The Review of Economics and Statistics 64 (1982): 5966.CrossRefGoogle Scholar
10.Hausman, J. A.Specification tests in econometrics. Econometrica 46 (1978): 12511271.Google Scholar
11.Hausman, J. A. and Wise, D. A.. Attrition bias in experimental and panel data: The Gary income maintenance experiment. Econometrica 47 (1979): 455473.Google Scholar
12.Kmenta, J.Elements of Econometrics. New York: Macmillan, 1971.Google Scholar
13.Lillard, L. A. and Willis, R. J.. Dynamic aspects of earning mobility. Econometrica 46 (1978): 9851012.CrossRefGoogle Scholar
14.Maddala, G. S. and Mount, T. D.. A comparative study of alternative estimators for variance components models used in econometric applications. Journal of the American Statistical Association 68 (1973): 324328.Google Scholar
15.Mizon, G. E. The encompassing approach in econometrics. In Econometrics and Quantitative Economics, ed. Hendry, D. F. and Wallis, K. F., Oxford: Basil Blackwell, (1984).Google Scholar
16.Mundlak, Y.On the pooling of time series and cross-section data. Econometrica 46 (1978): 6985.Google Scholar
17.Nerlove, M. Further evidence on the estimation of dynamic economic relations from a time series of cross sections.Econometrica 39 (1971): 359382.Google Scholar
18.Pagan, A. R. Model evaluation by variable addition, in Econometrics and Quantitative Economics, ed. Hendry, D. F. and Wallis, K. F., Oxford: Basil Blackwell, 1984.Google Scholar
19.Park, R. E. and Mitchell, B. M.. Estimating the autocorrelated error model with trended data. Journal of Econometrics 13 (1980): 185201.Google Scholar
20.Prais, S. J. and Winsten, C. B.. Trend estimators and serial correlation. (Unpublished Cowles Commission Discussion Paper: Stat. No. 383, Chicago, 1954.Google Scholar
21.Pudney, S. E. The estimation and testing of some error components models. Discussion Paper, London School of Economics, London, 1979.Google Scholar
22.Rao, C. R. Estimating variance and covariance components in linear models. Journal of the American Statistical Association 67 (1972): 112115.Google Scholar
23.Searle, S. R. Topics in variance components estimation. Biometrics 27 (1971): 176.Google Scholar
24.Swamy, P.A.V.B. and Arora, S. S.. The exact finite sample properties of the estimators of coefficients in the error components regression models. Econometrica 40 (1972): 261275.Google Scholar
25.Wallace, T. D. and Hussain, A.. The useof error components models in combining crosssection with time-seriesdata. Econometrica 37 (1969): 5572.Google Scholar
26.Wolpin, K. I.A time series-cross section analyses of international variation in crime and punishment. The Reviewof Economics and Statistics 62 (1980): 417423.Google Scholar