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Association and
Simpson conversion in $2 \times 2 \times 2$ contingency
tables
Svante Linusson and Matthew T. Stamps |
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Vol. 12 (2021), No. 1, 57–74
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Abstract |
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We study a generalisation of Simpson reversal (also known as Simpson’s paradox or the Yule–Simpson effect) to contingency tables and characterise the cases for which it can and cannot occur with two combinatorial-geometric lemmas. We also present a conjecture based on some computational experiments on the expected likelihood of such events. |
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Keywords
Simpson's paradox, correlation reversal, association,
triangulations
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Mathematical Subject Classification
Primary: 62P99, 52B10
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Milestones
Received: 22 May 2020
Revised: 27 January 2021
Accepted: 22 February 2021
Published: 9 April 2021
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Authors |
| Svante Linusson | |
| Department of Mathematics KTH Royal Institute of Technology Stockholm Sweden |
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| Matthew T. Stamps | |
| Ottawa, ON Canada |
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