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hypothesis testing and dichotomous variables

Comment a comment by Anonymous, published on 24 April 2007
Navigate to the top level to view all replies to the article Testing MythBusters' Yawn Contagiousness Data
a lone nerd has left 1 comment below

Well, it is flawed, but not totally wrong. I coded the data set that was used on the web page and ran it through a chi-square/McNemar+Risk Estimate test (appropriate tests for dichotomous treatment variables + dichotomous outcome variables). No significant difference alpha=.744. But shame on you for using a straight up correlation. —chris

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Sorry, it is not just flawed, it IS totally wrong.

It does luckily give about the right answer

This is a case for almost any of the methods for analysing 2×2 tables and as other nerds pointed out, any of the good methods (Fisher, chi-square, …) got the same answer. The good methods are the ones based on the same probability model. We toss a coin with probability of heads p1 a number of times, idem p2 (a different number of times), and ask ourselves if p1 and p2 could conceibably be the same

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