Abstract
Philosophers and scientists have maintained that causation, correlation, and “partial correlation” are essentially related. These views give rise to various rules of causal inference. This essay considers the claims of several philosophers and social scientists for causal systems with dichotomous variables. In section 2 important commonalities and differences are explicated among four major conceptions of correlation. In section 3 it is argued that whether correlation can serve as a measure of A's causal influence on B depends upon the conception of causation being used and upon certain background assumptions. In section 4 five major kinds of “partial correlation” are explicated, and some of the important relations are established among two conceptions of “partial correlation”, the conception of “screening off”, the conception of “partitioning”, and the measures of causal influence which have been suggested by advocates of path analysis or structural equation methods. In section 5 it is argued that whether any of these five conceptions of “partial correlation” can serve as a measure of causal influence depends upon the conception of causation being used and upon certain background assumptions.
The important conclusion is that each of the approaches (considered here) to causal inference for causal systems with dichotomous variables stands in need of important qualifications and revisions if they are to be justified.
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References
Asher, H. B.: 1976, Causal Modeling. Sage Publications, Beverly Hills.
Bentler, P. M.: 1980, ‘Multivariate Analysis with Latent Variables; Causal Modeling’, Annual Review of Psychology 31, 419–56.
Blalock, H. M., Jr.: 1964, Causal Inference in Nonexperimental Research, University of North Carolina Press, Chapel Hill.
Campbell, D. T. and J. C. Stanley: 1963, Experimental and Quasi Experimental Designs for Research, Rand McNally, Chicago.
Cartwright, N.: 1979, ‘Causal Laws and Effective Strategies’, Nous 13, 419–37.
Cartwright, N.: 1983, How the Laws of Physics Lie, Oxford University Press, Oxford.
Davis, J. A.: 1975, ‘Analyzing Contingency Tables with Linear Flow Graphs: D-Systems’, in D. R. Heise, (ed.), Sociological Methodology, Jossey-Bass Publications, San Francisco, 1976, pp. 111–45.
Duncan, O. D.: 1975, Introduction to Structural Equation Models, Academic Press, New York.
Ellett, F. S., Jr. and D. P. Ericson: 1983, ‘On the Logic of Causal Methods in Social Science’, Synthese 57, 67–82.
Ellett, F. S., Jr. and D. P. Ericson: 1985, ‘Causal Laws and Laws of Association’, Noûs 19, no. 4.
Good, I. J.: 1961–1962, ‘A Causal Calculus I–II’, British Journal for the Philosophy of Science, Vol. XI, No. 44, pp. 305–18; Vol. XII, No. 45, pp. 43–51.
Kendall, P. L. and P. F. Lazarsfeld: 1950, ‘Problems of Survey Analysis’, in R. K. Merton and P. F. Lazarsfeld (eds.), Continuities in Social Research: Studies in the Scope and Methods of “The American Soldier”, Free Press, Glencoe, Ill, pp. 133–96.
Mackie, J. L.: 1974, The Cement of the Universe, Oxford University Press, Oxford.
Nagel, E.: 1961, ‘Explanation and Understanding in the Social Sciences’, in The Structure of Science, Harcourt, Brace, and World, New York, Chapter 14.
Reichenbach, H.: 1956, The Direction of Time, University of California Press, Berkeley.
Salmon, W. C.: 1980, ‘Probabilistic Causality’, Pacific Philosophical Quarterly, Vol. 61, Nos. 1 and 2, Jan–April, pp. 50–74.
Simon, H. A.: 1957, ‘Spurious Correlation: A Causal Interpretation’, in Models of Man, Wiley, New York, Chapter 3.
Suppes, P.: 1970, A Probabilistic Theory of Causality, North-Holland, Amsterdam.
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The authors contributed equally to this article. We also would like to acknowledge the support of the Spencer Foundation in the preparation of this manuscript.
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Ellett, F.S., Ericson, D.P. Correlation, partial correlation, and causation. Synthese 67, 157–173 (1986). https://doi.org/10.1007/BF00540066
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DOI: https://doi.org/10.1007/BF00540066