Abstract
A simplification or aggregation problem is faced by a research worker whenever he finds that his data are too numerous or in too much detail to be manageable and he feels the need to reduce or combine the detailed data in some manner. He will want to use aggregative measures for his new groups. But what will be the effect of this procedure on his results? How can he choose among alternative procedures? In grouping his data and/or relations he must also decide how many groups to use; a smaller number is more manageable but will cause more of the original information to be lost. The research worker seeks a solution to this problem that will best serve his objectives, or those of some decision-maker who will use his results.
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Bibliography
Chipman, J.S. 1975a. The aggregation problem in econometrics. Advances in Applied Probability, September.
Chipman, J.S. 1975b. Optimal aggregation in large-scale economic models. Sankhya 37 (4), 121–59.
Chipman, J.S. 1976. Estimation and aggregation in economics: an application of the theory of generalized inverses. In Generalized Inverses and Applications, ed. M.Z. Nashed, New York: Academic Press.
Chipman, J.S. 1985. Testing for reduction of mean-square error by aggregation in dynamic econometric models. In Multivariate Analysis VI: Proceedings of the Sixth International Symposium on Multivariate Analysis Amsterdam: North-Holland.
Day, R.H. 1963. On aggregating linear programming models of production. Journal of Farm Economics 45, November, 797–813.
Fei, J.C.H. 1956. A fundamental theorem for the aggregation problem of input-output analysis. Econometrica 24(4), October, 400–412.
Fisher, W.D. 1953. On a pooling problem from the statistical decision viewpoint. Econometrica 21(4), October, 567–85.
Fisher, W.D. 1958. Criteria for aggregation in input-output analysis. Review of Economics and Statistics 40(3), August, 250–60.
Fisher, W.D. 1962. Optimal aggregation in multi-equation prediction models. Econometrica 30(4), October, 744–69.
Fisher, W. D. 1969. Clustering and Aggregation in Economics. Baltimore: The Johns Hopkins Press.
Fisher, W.D. 1979. A note on aggregation and disaggregation. Econometrica 47(3), May, 739–46.
Fisher, W.D. and Kelley, P.L. 1968. Selecting representative firms in linear programming. Ch. 13 in Economic Analysis and Agricultural Policy, ed. R.H. Day, Ames: Iowa State University Press, 1982.
Gorman, W.M. 1968. The structure of utility functions. Review of Economic Studies 35, October, 367–90.
Grunfeld, Y. and Griliches, Z. 1960. Is aggregation necessarily bad? Review of Economics and Statistics 42(1), February, 1–13.
Hatanaka, M. 1952. Note on consolidation within a Leontief system. Econometrica 20(2), April, 301–3.
Hurwicz, L. 1952. Aggregation in macroeconomic models [abstract]. Econometrica 20(3), July, 489–91.
Ijiri, Y. 1971. Fundamental queries in aggregation theory. Journal of the American Statistical Association 66, December, 766–82.
Klein, L.R. 1946. Remarks on the theory of aggregation. Econometrica 14(4), October, 303–12.
Laisney, F. 1984. Theory and practice in optimal aggregation of linear models. Economic Letters, 315–24.
Leontief, W. 1947. Introduction to a theory of the internal structure of functional relationships. Econometrica 15(4), October, 361–73.
Malinvaud, E. 1956. L’agrégation dans les modèles économiques. Cahiers du Seminaire d’ Econométrie No. 4, Paris: Centre National de la Recherche Scientifique.
May, K. 1946. The aggregation problem for a one-industry model. Econometrica 14(4), October, 285–98.
May, K. 1947. Technological change and aggregation. Econometrica 15(1), January, 51–63.
McCarthy, J. 1956. Aggregation in the Leontief model. Joint Allied Social Science Association meeting in Cleveland, Ohio, 27 December.
Nataf, A. 1960. Résultats et directions de recherche dans la théorie de l’agrégation. Logic, Methodology and Philosophy of Science. Proceedings of the 1960 International Congress,ed. E. Nagel, P. Suppes and A. Tarski, Stanford, California: Stanford University Press, 1962.
Neudecker, H. 1970. Aggregation in input—output analysis: an extension of Fisher’s method. Econometrica 38(6), November, 921–26.
Ringwald, K. 1980. A Critique of Models in Linear Aggregation Structures. Boston: Oelgeschlager, Gunn & Hain.
Schneeweiss, H. 1965. Das Aggregationsproblem. Statistische Hefte.
Shou Shan Pu. 1946. A note on macroeconomics. Econometrica 14(4), October, 299–302.
Skolka, J. 1964. The Aggregation Problem in Input—Output Analysis. Prague: Czechoslovakian Academy of Sciences.
Sondermann, D. 1973. Optimale Aggregation von grossen linearen Gleichungssystemen. Zeitschrift für Nationalökonomie 33 (3–4), 235–50.
Theil, H. 1954. Linear Aggregation of Economic Relations. Amsterdam: North-Holland.
Theil, H. 1962. Alternative approaches to the aggregation problem. Logic, methodology and philosophy of science. Proceedings of the 1960 International Congress, ed. E. Nagel,P. Suppes and A. Tarski, Stanford, California: Stanford University Press.
Theil, H. 1967. Economics and Information Theory. Chicago: Rand McNally.
Tintner, G. and Sondermann, D. 1977. Statistical aspects of economic aggregation. In Mathematical Economics and Game Theory, ed. Henn and Moeschlin, Berlin: Springer.
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Fisher, W.D. (1990). Aggregation of Economic Relations. In: Eatwell, J., Milgate, M., Newman, P. (eds) Econometrics. The New Palgrave. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-20570-7_2
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