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==Probability== A paper by Pavlides and Perlman presents a proof, due to Hadjicostas, that in a random 2 Γ 2 Γ 2 table with uniform distribution, Simpson's paradox will occur with a [[probability]] of exactly {{frac|1|60}}.<ref> {{cite journal | title = How Likely is Simpson's Paradox? | author1=Marios G. Pavlides | author2=Michael D. Perlman | name-list-style=amp |date=August 2009 | journal = [[The American Statistician]] | volume = 63 | issue = 3 | pages = 226β233 | doi = 10.1198/tast.2009.09007 | s2cid=17481510 }}</ref> A study by Kock suggests that the probability that Simpson's paradox would occur at random in path models (i.e., models generated by [[path analysis (statistics)|path analysis]]) with two predictors and one criterion variable is approximately 12.8 percent; slightly higher than 1 occurrence per 8 path models.<ref>Kock, N. (2015). [http://cits.tamiu.edu/kock/pubs/journals/2015JournalIJeC/Kock_2015_IJeC_SimpPdox.pdf How likely is Simpson's paradox in path models?] International Journal of e-Collaboration, 11(1), 1β7.</ref>
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