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Comment to: “Understanding Simpson’s paradox”. (English) Zbl 07653617


MSC:

62-XX Statistics
Full Text: DOI

References:

[1] Agresti, A.; Kotz, S.; Johnson, N., Fallacies, Statistical, Encyclopedia of Statistical Science (vol. 3), 24-28 (1983), New York: Wiley, New York
[2] Arah, O., The Role of Causal Reasoning in Understanding Simpson’s Paradox, Lord’s Paradox, and the Suppression Effect: Covariate Selection in the Analysis of Observational Studies, Emerging Themes in Epidemiology, 4 (2008) · doi:10.1186/1742-7622-5-5
[3] Berkson, J., Limitations of the Application of Fourfold Table Analysis to Hospital Data, Biometrics Bulletin, 2, 47-53 (1946)
[4] Bishop, Y.; Fienberg, S.; Holland, P., Discrete Multivariate Analysis: Theory and Practice (1975), Cambridge, MA: MIT Press, Cambridge, MA · Zbl 0332.62039
[5] Blyth, C., On Simpson’s Paradox and the Sure-Thing Principle, Journal of the American Statistical Association, 67, 364-366 (1972) · Zbl 0245.62008
[6] Cohen, M.; Nagel, E., An Introduction to Logic and the Scientific Method (1934), New York: Harcourt, Brace and Company, New York · JFM 60.0845.02
[7] Hernán, M.; Clayton, D.; Keiding, N., The Simpson’s Paradox Unraveled, International Journal of Epidemiology, 40, 780-785 (2011)
[8] Imai, K.; Keele, L.; Yamamoto, T., Identification, Inference, and Sensitivity Analysis for Causal Mediation Effects, Statistical Science, 25, 51-71 (2010) · Zbl 1328.62478
[9] Lauritzen, S., Graphical Models (reprinted 2004 with corrections) (1996), Oxford: Clarendon Press, Oxford · Zbl 0907.62001
[10] Lindley, D.; Novick, M., The Role of Exchangeability in Inference, The Annals of Statistics, 9, 45-58 (1981) · Zbl 0473.62005
[11] Meek, C.; Glymour, C., Conditioning and Intervening, British Journal of Philosophy Science, 45, 1001-1021 (1994) · Zbl 0813.62003
[12] Novick, M.; Wainer, H.; Messick, S., The Centrality of Lord’s Paradox and Exchangeability for all Statistical Inference, Principles of Modern Psychological Measurement, 41-53 (1983), Hillsdale, NJ: Erlbaum, Hillsdale, NJ
[13] Pearl, J., Probabilistic Reasoning in Intelligent Systems (1988), San Mateo, CA: Morgan Kaufmann, San Mateo, CA
[14] ———, Comment: Graphical Models, Causality, and Intervention, Statistical Science, 8, 266-269 (1993)
[15] ———, Causal Diagrams for Empirical Research, Biometrika, 82, 669-710 (1995) · Zbl 0860.62045
[16] “Direct and Indirect Effects,”, Proceedings of the Seventeenth Conference on Uncertainty in Artificial Intelligence, 411-420 (2001), San Francisco, CA: Morgan Kaufmann, San Francisco, CA
[17] Causality: Models, Reasoning, and Inference (2nd ed.) (2009), New York: Cambridge University Press, New York · Zbl 1188.68291
[18] Interpretation and Identification of Causal Mediation, Psychological Methods (2013)
[19] Pearl, J.; Paz, A., “Confounding Equivalence in Causal Inference,” (2013)
[20] Pearson, K.; Lee, A.; Bramley-Moore, L., Genetic (Reproductive) Selection: Inheritance of Fertility in Man, and of Fecundity in Thoroughbred Racehorses, Philosophical Transactions of the Royal Society of London, Series A, 192, 257-330 (1899) · JFM 30.0223.01
[21] Robins, J.; Greenland, S., Identifiability and Exchangeability for Direct and Indirect Effects, Epidemiology, 3, 143-155 (1992)
[22] Shpitser, I.; VanderWeele, T.; Robins, J., “On the Validity of Covariate Adjustment for Estimating Causal Effects,”, Proceedings of the Twenty-Sixth Conference on Uncertainty in Artificial Intelligence, 527-536 (2010), Corvallis, OR: AUAI, Corvallis, OR
[23] Simpson, E., The Interpretation of Interaction in Contingency Tables, Journal of the Royal Statistical Society, Series B, 13, 238-241 (1951) · Zbl 0045.08802
[24] VanderWeele, T., Marginal Structural Models for the Estimation of Direct and Indirect Effects, Epidemiology, 20, 18-26 (2009)
[25] Wasserman, L., All of Statistics: A Concise Course in Statistical Inference (2004), New York: Springer, New York · Zbl 1053.62005
[26] Whittemore, A., Collapsibility of Multidimensional Contingency Tables, Journal of the Royal Statistical Society, Series B, 40, 328-340 (1978) · Zbl 0413.62041
[27] Yule, G., Notes on the Theory of Association of Attributes in Statistics, Biometrika, 2, 121-134 (1903)
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