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Enter data in highlighted cells b chi-squares1)2 x 2 chi-squareexpectedc sig level Cramer's f (signed)GaussianWilsong.o.f. chi-square (preferred)Wilson intervalsTEST 1AEcp^z/np'z.s'w+w-e+e-p1ep^1pp1-p2diff 1c.i. significant?TEST 2p^2diff 2" Level the test is carried out atz(crit)TESTS:diff D indep popc.i. probabilitiesmeanq For plottingd1d2D4)Newcombe-Wilson testz p(a)-p(a)e'upperlowerAdvanced different pop. z test B2 x 1 Goodness of fitp(a | b) - p(a)p(b | a) - p(b)p(b | a) - p(b)p(a | b) - p(a)+Tests if p(a | b) - p(a) != p(b | a) - p(b).Tests if p(a | b) - p(a) != p(b | a) - p(b)Direction (a, b)Direction (a, b)p(b | a) - p(b)p(a | b) - p(a).Tests if p(a | b) - p(a) != p(b | a) - p(b)Direction (a, b)Newcombe-Wilsonchi-square for homogeneitysame populationindependent populationp2fDirection (A, B)5Tests if p(a | b) - p(a | b) != p(b | a) - p(b | a)maxD (max) D (Bienaym)BienaymdSee Wallis, S.A. 2017. Detecting direction in interaction evidence. 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