Abstract
In this paper we argue that the standard sequential reduction approach to modelling dynamic relationships may be sub-optimal when long lag lengths are required and especially when the intermediate lags may be less important. A flexible model search approach is adopted using the insights of Bayesian Model probabilities, and new information criteria based on forecasting performance. This approach is facilitated by exploiting Genetic Algorithms. Using data on U.K. and U.S. agriculture the bivariate time series relationship between R&D expenditure and productivity is analysed. Long lags are found in the relationship between R&D expenditures and productivity in the U.K. and in the U.S. which remain undiscovered when using the orthodox approach. This finding is of particular importance in the debate on the optimal level of public R&D funding.
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References
S. Almon (1965) ArticleTitle“The Distributed Lag Between Capital Appropriations and Expenditures” Econometrica 33 178–196
J. C. Chao P. C. B. Phillips (1999) ArticleTitle”Model Selection in Partially Non-Stationary Vector Autoregressive Processes with Reduced Rank Structure” Journal of Econometrics 91 227–271 Occurrence Handle10.1016/S0304-4076(98)00077-3
W. W. Charemza D. F. Deadman (1992) New Directions in Econometric Practice Edward Elgar UK
R. Davidson J. G. MacKinnon (1993) Estimation and Inference in Econometrics Oxford University Press Oxford
V. G. Duggal C. Saltzmann L. R. Klein (1999) ArticleTitle“Infrastucture and Productivity: a Nonlinear Approach” Journal of Econometrics 92 47–94 Occurrence Handle10.1016/S0304-4076(98)00085-2
S. Fan (2000) ArticleTitle“Research Investment and the Economic Return to Chinese Agricultural Research” Journal of Productivity Analysis 14 163–182 Occurrence Handle10.1023/A:1007803108805
C. Fernandez E. Ley M. Steel (2001) ArticleTitle“Benchmark Priors for Bayesian Model Averaging” Journal of Econometrics 100 381–427 Occurrence Handle10.1016/S0304-4076(00)00076-2 Occurrence HandleMR1820410
E. I. George R. E. McCulloch (1996) ArticleTitle“Approaches for Bayesian Variable Selection” Statistica Sinca 7 339–373
J. A. Giles D. E. Giles (1995) “Pre-Test Estimation and Testing in Econometrics: Recent Developments” L. Oxley D. A. George C. J. Roberts S. Sayer (Eds) Surveys in Econometrics Blackwell Cambridge USA
Z. Griliches (1967) ArticleTitle“Distributed Lags and Survey” Econometrica 35 IssueID1 16–49
Huffman Evenson (1993) “Science for Agriculture” ISU Press Ames
C. I. Jones (1995) ArticleTitle“R&D-based Models of Economic Growth” Journal of Political Economy 1034 IssueID4 759–784 Occurrence Handle10.1086/262002
G. Judge W. E. Griffiths R. Carter Hill H. Lutkepohl T. S. Lee (1985) The Theory and Practice of Econometrics John Wiley and Sons New York
Y. J. Khatri C. Thirtle (1996) ArticleTitle“Supply and Demand Functions for UK Agriculture: Biases of Technical Change and Returns to Public R&D” Journal of Agricultural Economics 47 IssueID3 338–354
Khatri, Y. J. and C. Thirtle. (2000) “Cointegration and Modelling the Length and Shape of The Research Lag”. In C. Thirtle, J. Van Zyl and N. Vink (eds.), South African Agriculture at the Crossroads. An Empirical Analysis of Efficiency, Technology and Productivity, Macmillan, September.
J. R. Koza (1991) A Genetic Approach to Econometric Modelling P. Bourgine B. Walliser (Eds) Economics and Cognitive Science Pergamon Press Oxford, UK 57–75
J. R. Koza (1992) Genetic Programming A Bradford Book, MIT Press Cambridge, MA
Maddala Kim (1998) Unit Roots, Cointegration and Structural Change Cambridge University Press Cambridge
S. Makki L. G. Tweeten C. Thraen (1999) ArticleTitle“Investing in Research and Education versus Commodity Programs: Implications for Agricultural Productivity” Journal of Productivity Analysis 12 77–94 Occurrence Handle10.1023/A:1007855224376
A. J. Miller (1984) ArticleTitle“Selection of Subsets of Regression Variables (with discussion)” Journal of the Royal Statistical Society A 147 IssueID3 389–425
A. J. Miller (1990) Subset Selection in Regression Chapman and Hall New York
R. R. Nelson H. Pack (1999) ArticleTitle“The Asian Miracle and Modern Growth Theory” The Economic Journal 109 416–436 Occurrence Handle10.1111/1468-0297.00455
P. G. Pardey B. Craig (1989) ArticleTitle“Causal Relationships between Public Sector Agricultural Research Expenditures and Output” American Journal of Agricultural Economics 71 IssueID1 9–19
Ploberger, W. and P. C. B. Phillips. (1998) “Empirical Limits for Time Series Econometric Models”. Cowles Foundation Paper.
W. Ploberger P. C. B. Phillips (2001) Rissanen’s Theorem and Econometric Time Series A. Zellner H. A. Keuzenkamp M. McAleer (Eds) Simplicity, Inference and Modelling Cambridge University Press Cambridge
P. C. B. Phillips (1995) ArticleTitle“Bayesian Model Selction and Prediction with Empirical Applications” Journal of Econometrics 69 289–331 Occurrence Handle10.1016/0304-4076(94)01672-M
T. Terasvirta I. Mellin (1986) ArticleTitle“Model Selection criteria and model selection tests in regression models” Scandinavian Journal of Statistics 13 159–171
C. Thirtle P. Bottomley P. Palladino D. Schimmelphennig R. Townsend (1998) ArticleTitle“The Rise and Fall of Public Sector Plant Breeding in the United Kingdom: A causal Chain Model of Basic and Applied Research and diffusion” Agricultural Economics 19 127–143 Occurrence Handle10.1016/S0169-5150(98)00029-2
H. Y. Toda P. C. B. Phillips (1993) ArticleTitle“Vector autoregression and causality: a theoretical overview and simulation study” Econometric Reviews 13 259–285
R. Townsend C. Thirtle (2001) ArticleTitle“Is Livestock Research Unproductive? Separating Health Maintenance from Improvement Research” Agricultural Economics 25 177–189
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JEL Classification: C22, C51, Q16
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Balcombe, K., Bailey, A. & Fraser, I. Measuring the impact of R&D on Productivity from a Econometric Time Series Perspective. J Prod Anal 24, 49–72 (2005). https://doi.org/10.1007/s11123-005-3040-x
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DOI: https://doi.org/10.1007/s11123-005-3040-x