For 2 Ã 2 tables, Yule (1900, 1912) introduced which he labeled Q in honor of the
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which he labeled Q in honor of the Belgian statistician Quetelet. It is now called Yules Q.
a. Show that for 2 à 2 tables, Goodman and Kruskals γ = Q.
b. Show that Q falls between 1 and 1.
c. State conditions under which Q = 1 or Q = 1.
d. Show that Q relates to the odds ratio by Q = (θ 1)/(θ + 1), a monotone transformation of θ from the [θ, ] scale onto the [1,+ 1] scale.
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