The effects of Galton's problem are discussed within a framework
provided by the linear regression model. We examine five illustrative
diffusion models and evaluate alternative estimation procedures (es
pecially Naroll's linked pairs test and Wirsing's second order partial
correlation). While no one procedure is adequate for all models, the
specification of a diffusion model provides guidance in the selection
of an appropriate estimation procedure.
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References
1.
Beals, Ralph E.1972Statistics for EconomistsChicago: Rand McNally.
2.
Blalock, Hubert M.1968Theory Bulding and Causal Inferences In Methodology in Social Research. Hubert M. Blalock and Ann B. Blalock, eds. pp. 155-198. New York: McGraw-Hill.
3.
1979Social Statistics Revised second edition. New York: McGraw-Hill.
4.
Durbin, J.1960Estimation of Parameters in Time-Series Regression ModelsJournal of the Royal Statistical Society, Series B, 22 (January): 139-153.
5.
Goldberger, Arthur S.1964Econometric TheoryNew York: Wiley.
6.
Johnston, J.1972Econometric MethodsNew York : McGraw-Hill.
7.
Kmenta, Jan1971Elements of EconometricsNew York: Macmillan.
8.
Loftin, Colin1975Partial Correlation as an Adjustment Procedure for Galton's ProblemBehavior Science Research10: 131-141.
9.
Naroll, Raoul1961Two Solutions to Galton's ProblemPhilosophy of Science28: 15-39. Reprinted In Readings in Cross-Cultural Methodology. Frank Moore, ed. pp. 221-245. New Haven: HRAF Press, 1961.
10.
1964A Fifth Solution to Galton's ProblemAmerican Anthropologist66: 863-867.
11.
1970Galton's Problem In A Handbook of Method in Cultural Anthropology. Raoul Naroll and Ronald Cohen eds. pp. 974-989. Garden City, N.Y.: Natural History Press. Reprinted 1973. New York: Columbia University Press.
12.
Rao, Potluri and Zvi Griliches.1969Small-Sample Properties of Several Two-Stage Regression Methods in the Context of Auto-Correlated ErrorsJournal of the American Statistical Association64: 253-272.
13.
Wirsing, Rolf1975Second Order Partials as a Means to Control DiffusionBehavior Science Research10: 143-159.
14.
Wonnacott, Thomas H. and Ronald J. Wonnacott1970EconometricsNew York: Wiley.
