Abstract
There are three questions associated with Simpson’s paradox (SP): (i) Why is SP paradoxical? (ii) What conditions generate SP? and (iii) How to proceed when confronted with SP? An adequate analysis of the paradox starts by distinguishing these three questions. Then, by developing a formal account of SP, and substantiating it with a counter-example to causal accounts, we argue that there are no causal factors at play in answering questions (i) and (ii). Causality enters only in connection with action.
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References
Bandyopadhyay, P.S., Nelson, D., Greenwood, M., Brittan, G., Berwald, J.: The logic of Simpson’s paradox. Synthese 181, 185–208 (2011)
Bandyopadhyay, P.S., Greenwood, M., Dcruz, Don Wallace F., Venkata Raghavan, R.: Simpson’s Paradox and Causality. Am Philos Quart. (forthcoming)
Blyth, C.: On Simpson’s Paradox and the Sure-Thing Principle. J. Am. Stat. Assoc. 67(338), 364–366 (1972)
Field, H.: Saving Truth from Paradox. Oxford University Press, Oxford (2009)
Glymour, C.: Critical Notice. James Woodward’s Making Things Happen: A Theory of Causal Explanation. Brit. J. Philos. Sci. 55, 779–790 (2004)
Good, I., Mitttal, Y.: The amalgamation and geometry of two-by-two contingency tables. Annals of Statistics 15(2), 694–711 (1988)
Lycan, W.G.: What, exactly, is a paradox? Analysis 70(4), 615–622 (2010)
Meek, C., Glymour, C.: Conditioning and Intervening. Brit. J. Philos. Sci. 45, 1001–1021 (1994)
Pearl, J.: Causality. Cambridge University Press, Cambridge (2009)
Pearl, J.: Comment: Understanding Simpson’s Paradox. Am. Stat. 68(1), 8–13 (2014)
Priest, G.: The logic of paradox. J. Philos. Logic. 8(1), 219–241 (1979)
Quine, W.V.O.: The Ways of Paradox and Other Essays. Revised and Enlarged. Harvard University Press, Cambridge (1976)
Sorensen, R.: A Brief History of the Paradox. Oxford University Press (2003)
Sainsbury, R.M.: Paradoxes, 3rd edn. Cambridge University Press, Cambridge (2009)
Spirtes, P., Glymour, C., Scheines, R.: Causation, Prediction, and Search. MIT Press, Cambridge (2000)
Wheeler, G.: Two Puzzles concerning measures of uncertainty and the positive Boolean connectives. In: Neves, J., Santos, M.F., Machado, J.M. (eds.) EPIA 2007. LNCS (LNAI), vol. 4874, pp. 170–180. Springer, Heidelberg (2007)
Yule, G.U.: Notes on the Theory of Association of Attributes in Statistics. Biometrika 2(2), 121–134 (1903)
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Bandyopadhyay, P.S., Raghavan, R.V., Dcruz, D.W., Brittan, G. (2015). Truths about Simpson’s Paradox: Saving the Paradox from Falsity. In: Banerjee, M., Krishna, S.N. (eds) Logic and Its Applications. ICLA 2015. Lecture Notes in Computer Science, vol 8923. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45824-2_4
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DOI: https://doi.org/10.1007/978-3-662-45824-2_4
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