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  1. Simpson’s paradox beyond confounding.Zili Dong, Weixin Cai & Shimin Zhao - 2024 - European Journal for Philosophy of Science 14 (3):1-22.
    Simpson’s paradox (SP) is a statistical phenomenon where the association between two variables reverses, disappears, or emerges, after conditioning on a third variable. It has been proposed (by, e.g., Judea Pearl) that SP should be analyzed using the framework of graphical causal models (i.e., causal DAGs) in which SP is diagnosed as a symptom of confounding bias. This paper contends that this confounding-based analysis cannot fully capture SP: there are cases of SP that cannot be explained away in terms of (...)
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  • Truths about Simpson's Paradox - Saving the Paradox from Falsity.Don Dcruz, Prasanta S. Bandyopadhyay, Venkata Raghavan & Gordon Brittain Jr - 2015 - In M. Banerjee & S. N. Krishna (eds.), LNCS 8923. pp. 58-75.
    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 counterexample 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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  • Mereological Dominance and Simpson’s Paradox.Tung-Ying Wu - 2020 - Philosophia: Philosophical Quarterly of Israel 48 (1):391–404.
    Numerous papers have investigated the transitivity principle of ‘better-than.’ A recent argument appeals to the principle of mereological dominance for transitivity. However, writers have not treated mereological dominance in much detail. This paper sets out to evaluate the generality of mereological dominance and its effectiveness in supporting the transitivity principle. I found that the mereological dominance principle is vulnerable to a counterexample based on Simpson’s Paradox. The thesis concludes that the mereological dominance principle should be revised in certain ways.
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