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THE RISE AND FALL OF EXTRANEOUS ESTIMATION: LESSONS FROM ECONOMETRIC HISTORY?

Published online by Cambridge University Press:  08 January 2003

A. Buse
Affiliation:
University of Alberta

Abstract

It is possible to view econometric history as the retrospective assessment of intellectual resource allocations. This paper uses such a perspective to examine the history of extraneous estimation. Independently proposed by Marschak (1939, Econometrica 7, 332–335) and Wold (1940, Efterfrågan på jordbruksprodukter och dess känslighet för prisoch inkomstförändringar (The demand for agricultural products and its sensitivity to price and income changes)), extraneous estimation was widely used as a collinearity solution in demand analysis from 1950 to 1980. We give a detailed account of the origins of this procedure and the theoretical work that clarified the statistical structure that underpinned it. The subsequent literature is then assessed in terms of the optimal use of available econometric tools and the interaction between theory and applications. We find that optimal econometric procedures were rarely used and that theoretical refinements continued to be published well after extraneous estimation had ceased to be a useful tool for demand analysis.An earlier version of this paper titled “To Pool or Not to Pool? Why Is That Still a Question?” was presented at the Thirteenth Annual Meeting of the Canadian Econometrics Study Group, University of Waterloo, September 21–22, 1996. I thank Robin Carter for his comments at that presentation. Another version titled “The Optimum Amount of Econometrics” was presented on October 31, 1998, at Concordia University on the occasion of Gordon Fisher's seventieth birthday. I am indebted to Lady Giovanna Stone and Peter Jones of King's College Library for arranging access to Sir Richard Stone's papers and to the staff of the UCLA Research Library for access to the Jacob Marschak Archive. James Tobin was kind enough to share some of his recollections of the “extraneous estimation” period. George Szava-Kovats and Chris Minns provided able research assistance, and Charlene Hill typed the manuscript with her customary efficiency. Colin and Sally Ash, Reinhold Bergstrom, Jim Hamilton, Balder von Hohenbalken, Joe Ostroy, and Martin Weale provided help of the sort that does not lend itself to detailed elaboration. An earlier version of the paper had the benefit of a close and perceptive reading by John Aldrich. The referees' and editor's comments have also helped shape the paper into its present form, and I thank them for their contributions.

Type
Research Article
Copyright
© 2003 Cambridge University Press

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References

REFERENCES

Aigner, D.J. & J.L. Simon (1970) A specification bias interpretation of cross section vs. time series parameter estimates. Western Economic Journal 8, 144161.Google Scholar
Aldrich, J. (1999) Determinancy in the linear model: Gauss to Bose and Koopmans. International Statistical Review 67, 211219.Google Scholar
Anderson, H.M. & F. Vahid (1998) On the pooling of cross-sectional and time-series data in the presence of heteroskedasticity. Economics Letters 60, 291296.Google Scholar
Bodkin, R.G. & B. Raj (1985) An alternative estimator of the variance of the disturbance term in extraneous and mixed estimation. International Economic Review 26, 6769.Google Scholar
Burk, M.C. (1958) Some analyses of income-food relationships. Journal of the American Statistical Association 53, 905927.Google Scholar
Buse, A. (1981) Pooling time series and cross-section data: A minimum chi-squared approach. Manchester School 49, 229244.Google Scholar
Buse, A. (1997) On the equivalence of pooled and mixed estimation. Statistical Papers 38, 231241.Google Scholar
Buse, A. (2000) The History of Extraneous Estimation. Discussion paper 2000-01, Department of Economics, University of Alberta.
Carman, H.F. (1972) Improving sales forecasts for appliances. Journal of Marketing Research 9, 214218.Google Scholar
Chauvenet, W. (1863) A Manual of Spherical and Practical Astronomy, vols. 1 and 2. Philadelphia: Lippincott.
Chen, N. (1972) Agricultural productivity in a newly settled region: The case of Manchuria. Economic Development and Cultural Change 21, 8795.Google Scholar
Chetty, V.K. (1968) Pooling time series and cross section data. Econometrica 36, 279290.Google Scholar
Cochran, W.G. (1954) The combination of estimates from different experiments. Biometrics 10, 101129.Google Scholar
Crockett, J. & I. Friend (1960) A complete set of consumer demand relationships. In I. Friend & R. Jones (ed.), Proceedings of Conference on Consumption and Savings 1, pp. 192. Philadelphia: University of Pennsylvania.
Desai, M. (1974) Pooling as a specification error: A note. Econometrica 42, 389391.Google Scholar
Durbin, J. (1953) A note on regression when there is extraneous information about one of the coefficients. Journal of the American Statistical Association 48, 799808.Google Scholar
Farrell, M.J. (1954) The demand for motor cars in the United States. Journal of the Royal Statistical Society Series A, 117, 171201.Google Scholar
Fox, K.L. (1965) A submodel of the agricultural sector. In J.S. Duesenberry, G. Fromm, L.R. Klein, & E. Kuh (eds.), The Brookings Quarterly Econometric Model of the United States, pp. 409464. Chicago: Rand-McNally.
Fuglie, K.O. (1994) The demand for potatoes in Tunisia: Are they a cereal substitute? European Review of Agricultural Economics 21, 277286.Google Scholar
Gauss, C.F. [ 1823] (1995) Theoria Combinationis Observationum Erroribus Minimus Obnoxiae, Part Two. Translated by G.W. Stewart. Philadelphia: SIAM.
Ghali, M.A. (1977) Pooling as a specification error: A comment. Econometrica 45, 755757.Google Scholar
Gilbert, C.L. (1991) Richard Stone, Demand theory, and the emergence of modern econometrics. Economic Journal 101, 288302.Google Scholar
Goldberger, A.S. (1964) Econometric Theory. New York: Wiley.
Grabowski, H.G., J.M. Vernon, & L.G. Thomas (1978) Estimating the effects of regulation on innovation: An international comparative analysis of the pharmaceutical industry. Journal of Law and Economics 21, 133163.Google Scholar
Hamilton, J. (1972) The demand for cigarettes: Advertising, the health scare, and the cigarette advertising ban. Review of Economics and Statistics 54, 401411.Google Scholar
Havenner, A. & A. Craine (1981) Estimation analogies in control. Journal of the American Statistical Association 76, 850859.Google Scholar
Hicks, J.R. & R.G.D. Allen (1934) A reconsideration of the theory of value. Economica, n.s., 1, 5276.
Holmes, R.A. (1968) Combining cross section and time series information on demand relationships for substitute goods. American Journal of Agricultural Economics 50, 5665.Google Scholar
Houthakker, H.S. & J. Tobin (1952) Estimates of the free demand for rationed foodstuffs. Economic Journal 62, 103118.Google Scholar
Izan, H.Y. (1980) To pool or not to pool? A re-examination of Tobin's food demand problem. Journal of Econometrics 13, 391402.Google Scholar
Jeong, K.J. (1978) Estimating and testing a linear model when extraneous information exists. International Economic Review 19, 541543.Google Scholar
Johnston, J. (1972) Econometric Methods, 2nd ed. New York: McGraw-Hill.
Kaliski, S.F. (1960) Extraneous estimates and goodness of fit: A problem in empirical economics. Manchester School 28, 5971.Google Scholar
Klein, L.R. (1953) A Textbook of Econometrics. Evanston: Row, Peterson.
Klein, L.R. (1954) Review of R. Stone, The Measurement of Consumers' Expenditure in the United Kingdom, 1920–1938. American Economic Review 44, 426433.Google Scholar
Klein, L.R. & A.S. Goldberger (1955) An Econometric Model of the United States 1929–1952. Amsterdam: North-Holland.
Konandreas, P.M. & A. Schmitz (1978) Welfare implications of grain price stabilization: Some empirical evidence for the United States. American Journal of Agricultural Economics 1978, 7484.Google Scholar
Kuh, E. & J.R. Meyer (1957) How extraneous are extraneous estimates? Review of Economics and Statistics 39, 380393.Google Scholar
Laughhunn, D.J. (1970) Distributional effects in demand analysis: Observations and predictive tests. Journal of the American Statistical Association 65, 576585.Google Scholar
Leamer, E.E. (1997) Revisiting Tobin's 1950 study of food expenditure. Journal of Applied Econometrics 12, 533561.Google Scholar
Lee, F.Y. (1969) An analysis of farm household expenditures on basic living materials in Japan. American Journal of Agricultural Economics 51, 650661.Google Scholar
Maddala, G.S. (1971) The likelihood approach to pooling cross section and time series data. Econometrica 39, 939954.Google Scholar
Magnus, J.R. & M. Morgan (1997) Design of the experiment. Journal of Applied Econometrics 12, 459466.Google Scholar
Manhertz, H.G. (1970) Some econometric considerations in studying regional demand patterns in the United States. Regional Studies 4, 107115.CrossRefGoogle Scholar
Marschak, J. (1931a) Consumption: Problems of measurement. In Edwin R.A. Seligman (ed.), The Encyclopedia of the Social Sciences, pp. 295301. New York: MacMillan.
Marschak, J. (1931b) Elastizität der Nachfrage. Tübingen: J.C.B. Mohr.
Marschak, J. (1939a) Sources for demand analysis: Market, budget, and income data. Cowles Commission for Research in Economics, Report of the Fifth Annual Conference in Economics and Statistics held at Colorado Springs, July 3–28.
Marschak, J. (1939b) Review of Theory and Measurement of Demand, by H. Schultz. Economic Journal 49, 485487.Google Scholar
Marschak, J. (1939c) On combining market and budget data in demand studies: A suggestion. Econometrica 7, 332335.Google Scholar
Marschak, J. (1943) Money illusion and demand analysis. Review of Economic Statistics 25, 4048.CrossRefGoogle Scholar
Marshall, A. (1920) Principles of Economics, 8th ed. London: Macmillan.
Mikhail, W.M. & G.A. Ghazal (1991) On a pooled estimator and its finite sample moments. Journal of Econometrics 48, 195214.CrossRefGoogle Scholar
Moore, T.G. (1966) The demand for Broadway theatre tickets. Review of Economics and Statistics 48, 7987.CrossRefGoogle Scholar
Morgan, M. (1990) The History of Econometric Ideas. Cambridge: Cambridge University Press.
Passi, R.M. (1979) Linear model estimation with extraneous estimates of a parameter subset, with an application to aircraft tracking. Technometrics 21, 511514.Google Scholar
Prest, A.R. (1949) Some experiments in demand analysis. Review of Economics and Statistics 31, 3349.Google Scholar
Pudney, S.E. (1980) Disaggregated demand analysis: The estimation of a class of non-linear demand systems. Review of Economic Studies 47, 875892.Google Scholar
Rossi, N. (1988) Budget share demographic translation and the aggregate almost ideal demand system. European Economic Review 31, 13011318.Google Scholar
Saito, M. (1977) Household flow of funds equations. Journal of Money, Credit, and Banking 9, 120.Google Scholar
Schneider, L., B. Klein, & K.H. Murphy (1981) Governmental regulation of cigarette health information. Journal of Law and Economics 24, 575612.Google Scholar
Schultz, H. (1933) Review of Elastizität der Nachfrage, by J. Marschak. Weltwirtschaftliches Archiv 33, 2839.Google Scholar
Schultz, H. (1938) The Theory and Measurement of Demand. Chicago: University of Chicago Press.
Slutsky, E. (1915) Sulia teoria del bilancio des consomatore. Giornale degli Economisti 51, 1–26. English translation in G.J. Stigler & K.E. Boulding (eds.), Readings in Price Theory, pp. 2756 (Chicago: Richard D. Irwin, 1952).
Solow, R.M. (1964) Capital, labor, and income in manufacturing. In C.L. Schultze & L. Weiner (eds.), Behavior of Income Shares Studies in Income and Wealth, vol. 27, pp. 101128. Princeton: Princeton University Press.
Srivastava, V.K. & A. Ullah (1995) Efficiency properties of some estimators in pooling time-series and cross-section data. Journal of Quantitative Economics 11, 6376.Google Scholar
Staehle, H. (1945) Relative prices and post-war markets for animal food products. Quarterly Journal of Economics 59, 237270.Google Scholar
Stone, J.R.N. (1945) The analysis of market demand. Journal of the Royal Statistical Society 108, 286382.Google Scholar
Stone, J.R.N. (1948) The analysis of market demand: An outline of methods and results. Review of the International Statistical Institute 16, 2335.Google Scholar
Stone, J.R.N. (1951) The demand for food in the United Kingdom before the war. Metroeconomica 3, 827.Google Scholar
Theil, H. (1963) On the use of incomplete prior information in regression analysis. Journal of the American Statistical Society 58, 401414.Google Scholar
Theil, H. & A.S. Goldberger (1961) On pure and mixed statistical estimation in economics. International Economic Review 2, 6578.Google Scholar
Tobin, J. (1950) A statistical demand function for food in the U.S.A. Journal of the Royal Statistical Society, Series A 113, 113141.Google Scholar
Tobin, J. (1997) Comments by Professor James Tobin. Journal of Applied Econometrics 12, 647650.Google Scholar
Tomek, W.G. & W.W. Cochrane (1962) Long-run demand: A concept and elasticity estimates for meats. American Journal of Agricultural Economics 44, 717730.Google Scholar
Whittle, P. (1952) Tests of fit in time series. Biometrika 9, 309318.Google Scholar
Wold, H. (1940) Efterfrågan på jordbruksprodukter och dess känslighet för prisoch inkomstförändringar. (The demand for agricultural products and its sensitivity to price and income changes). Stockholm: Statens Offentliga Utredningar.
Wold, H. (1941) Eine Schwedische Untersuchung über die Elastizität der Nachfrage. Metron 14, 263285.Google Scholar
Wold, H. (1944) A synthesis of pure demand analysis, part III. Skandinavisk Aktuarietidskrift 27, 69120.Google Scholar
Wold, H. in association with L. Jureen (1953). Demand analysis. New York: Wiley.
Wold, H. (1982) Models for knowledge. In J. Gani (ed.), The Making of Statisticians, pp. 189212. New York: Springer-Verlag.