Comparing Parametric and Nonparametric Regression Methods for Panel Data: the Optimal Size of Polish Crop Farms
We investigate and compare the suitability of parametric and non-parametric stochastic regression methods for analysing production technologies and the optimal firm size. Our theoretical analysis shows that the most commonly used functional forms in empirical production analysis, Cobb-Douglas and Translog, are unsuitable for analysing the optimal firm size. We show that the Translog functional form implies an implausible linear relationship between the (logarithmic) firm size and the elasticity of scale, where the slope is artificially related to the substitutability between the inputs. The practical applicability of the parametric and non-parametric regression methods is scrutinised and compared by an empirical example: we analyse the production technology and investigate the optimal size of Polish crop farms based on a firm-level balanced panel data set. A nonparametric specification test rejects both the Cobb-Douglas and the Translog functional form, while a recently developed nonparametric kernel regression method with a fully nonparametric panel data specification delivers plausible results. On average, the nonparametric regression results are similar to results that are obtained from the parametric estimates, although many individual results differ considerably. Moreover, the results from the parametric estimations even lead to incorrect conclusions regarding the technology and the optimal firm size.
|Date of creation:||Oct 2012|
|Contact details of provider:|| Web page: http://www.ifro.ku.dk/english/|
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Barrett, Christopher B. & Bellemare, Marc F. & Hou, Janet Y., 2010.
"Reconsidering Conventional Explanations of the Inverse Productivity-Size Relationship,"
Elsevier, vol. 38(1), pages 88-97, January.
- Christopher B. Barrett & Marc F. Bellemare & Janet Y. Hou, 2010. "Reconsidering Conventional Explanations of the Inverse Productivity-Size Relationship," Working Papers 10-22, Duke University, Department of Economics.
- Renner, Swetlana & Hockmann, Heinrich & Pieniadz, Agata & Glauben, Thomas, 2009. "On Flexibility in the Polish Farming Sector," 111th Seminar, June 26-27, 2009, Canterbury, UK 52841, European Association of Agricultural Economists.
- Henderson, Daniel J. & Ullah, Aman, 2005. "A nonparametric random effects estimator," Economics Letters, Elsevier, vol. 88(3), pages 403-407, September.
- Naisyin Wang, 2003. "Marginal nonparametric kernel regression accounting for within-subject correlation," Biometrika, Biometrika Trust, vol. 90(1), pages 43-52, March.
- Darla Munroe, 2001. "Economic Efficiency in Polish Peasant Farming: An International Perspective," Regional Studies, Taylor & Francis Journals, vol. 35(5), pages 461-471.
- Racine, Jeff & Li, Qi, 2004. "Nonparametric estimation of regression functions with both categorical and continuous data," Journal of Econometrics, Elsevier, vol. 119(1), pages 99-130, March.
- Inha Oh & Jeong-Dong Lee & Almas Heshmati, 2008. "Total Factor Productivity in Korean Manufacturing Industries," Global Economic Review, Taylor & Francis Journals, vol. 37(1), pages 23-50.
- Andrew Dorward, 1999. "Farm size and productivity in Malawian smallholder agriculture," Journal of Development Studies, Taylor & Francis Journals, vol. 35(5), pages 141-161.
- Li, Qi & Racine, Jeff, 2003. "Nonparametric estimation of distributions with categorical and continuous data," Journal of Multivariate Analysis, Elsevier, vol. 86(2), pages 266-292, August.
- Hayfield, Tristen & Racine, Jeffrey S., 2008. "Nonparametric Econometrics: The np Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 27(i05).
- Gorton, Matthew & Davidova, Sophia, 2004. "Farm productivity and efficiency in the CEE applicant countries: a synthesis of results," Agricultural Economics of Agricultural Economists, International Association of Agricultural Economists, vol. 30(1), January.
- Svend Rasmussen, 2010. "Scale efficiency in Danish agriculture: an input distance--function approach," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 37(3), pages 335-367, September.
- Hsiao, Cheng & Li, Qi & Racine, Jeffrey S., 2007. "A consistent model specification test with mixed discrete and continuous data," Journal of Econometrics, Elsevier, vol. 140(2), pages 802-826, October.
- Cheng Hsiao & Qi Li & Jeff Racine, 2006. "A Consistent Model Specification Test with Mixed Discrete and Continuous Data," IEPR Working Papers 06.47, Institute of Economic Policy Research (IEPR).
- Jeffery Racine & Jeffrey Hart & Qi Li, 2006. "Testing the Significance of Categorical Predictor Variables in Nonparametric Regression Models," Econometric Reviews, Taylor & Francis Journals, vol. 25(4), pages 523-544.
- Jeffrey Racine, 2008. "Nonparametric econometrics: a primer (in Russian)," Quantile, Quantile, issue 4, pages 7-56, March.
- Marijn Verschelde & Marijke D’Haese & Glenn Rayp & Ellen Vandamme, 2013. "Challenging Small-Scale Farming: A Non-Parametric Analysis of the (Inverse) Relationship Between Farm Productivity and Farm Size in Burundi," Journal of Agricultural Economics, Wiley Blackwell, vol. 64(2), pages 319-342, 06.
- M. Verschelde & M. D’Haese & G. Rayp & E. Vandamme, 2011. "Challenging small-scale farming, a non-parametric analysis of the (inverse) relationship between farm productivity and farm size in Burundi," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 11/745, Ghent University, Faculty of Economics and Business Administration.
- Verschelde, Marijn & D'Haese, Marijke F.C. & Vandamme, Ellen & Rayp, Glenn, 2011. "Challenging Small-scale Farming, A Non-parametric Analysis of the (Inverse) Relationship Between Farm Productivity and Farm Size in Burundi," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 115550, European Association of Agricultural Economists.
- Erik Mathijs & Johan F. M. Swinnen, 2001. "Production Organization And Efficiency During Transition: An Empirical Analysis Of East German Agriculture," The Review of Economics and Statistics, MIT Press, vol. 83(1), pages 100-107, February.
- Michaelides, Panayotis G. & Vouldis, Angelos T. & Tsionas, Efthymios G., 2010. "Globally flexible functional forms: The neural distance function," European Journal of Operational Research, Elsevier, vol. 206(2), pages 456-469, October.
- Gallant, A. Ronald, 1982. "Unbiased determination of production technologies," Journal of Econometrics, Elsevier, vol. 20(2), pages 285-323, November.
- Bernhard Brümmer & Thomas Glauben & Geert Thijssen, 2002. "Decomposition of Productivity Growth Using Distance Functions: The Case of Dairy Farms in Three European Countries," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(3), pages 628-644.
- Henderson, Daniel J. & Carroll, Raymond J. & Li, Qi, 2008. "Nonparametric estimation and testing of fixed effects panel data models," Journal of Econometrics, Elsevier, vol. 144(1), pages 257-275, May.
- Aw, B. -Y. & Hwang, A. R., 1995. "Productivity and the export market: A firm-level analysis," Journal of Development Economics, Elsevier, vol. 47(2), pages 313-332, August.
- Racine, Jeff, 1997. "Consistent Significance Testing for Nonparametric Regression," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(3), pages 369-378, July.
- Fan, Yanqin & Li, Qi & Weersink, Alfons, 1996. "Semiparametric Estimation of Stochastic Production Frontier Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(4), pages 460-468, October.
- Kumbhakar, Subal C. & Park, Byeong U. & Simar, Leopold & Tsionas, Efthymios G., 2007. "Nonparametric stochastic frontiers: A local maximum likelihood approach," Journal of Econometrics, Elsevier, vol. 137(1), pages 1-27, March.
- Hockmann, Heinrich & Pieniadz, Agata & Goraj, Lech, 2007. "Modeling heterogeneity in production models: empirical evidence from individual farming in Poland
[Modellierung der Heterogenität der Faktorqualitäten in Produktionsfunktionen: Empirische Ergebniss," IAMO Discussion Papers 109, Leibniz Institute of Agricultural Development in Central and Eastern Europe (IAMO).
- Livanis, Grigorios T. & Salois, Matthew J. & Moss, Charles B., 2009. "A Nonparametric Kernel Representation of the Agricultural Production Function: Implications for Economic Measures of Technology," 83rd Annual Conference, March 30-April 1, 2009, Dublin, Ireland 51063, Agricultural Economics Society.
- Croissant, Yves & Millo, Giovanni, 2008. "Panel Data Econometrics in R: The plm Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 27(i02).
- Barrett, Christopher B., 1996. "On price risk and the inverse farm size-productivity relationship," Journal of Development Economics, Elsevier, vol. 51(2), pages 193-215, December.
- Laure Latruffe & Kelvin Balcombe & Sophia Davidova & Katarzyna Zawalinska, 2004. "Determinants of technical efficiency of crop and livestock farms in Poland," Applied Economics, Taylor & Francis Journals, vol. 36(12), pages 1255-1263.
- Lajos Zoltan Bakucs & Laure Latruffe & Imre Fertő & Jozsef Fogarasi, 2010. "The impact of EU accession on farms' technical efficiency in Hungary," Post-Communist Economies, Taylor & Francis Journals, vol. 22(2), pages 165-175. Full references (including those not matched with items on IDEAS)