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Two population proportion - Binomial case

S

Sandor Kelemen

Member
Could anybody direct me to a proof of the approximation of the difference of the proportion estimates of the two samples? (p. 24, chapter 9, first expression)
 
You're using a normal approximation to the binomial and then doing the subtraction of two normal distributions (see p41 of chapter 4).
 
Makes sense. Really useful. Thank you!

Is the standard MLE theta_1,2 ~ X_1,2/n_1,2 in the denominator always reliable (i just noticed that this is what really bothers me)? I mean the simplification of the nonlinear equations here must be harder to justify than in the one-sample case (as we would need to back-solve for the expression (theta_1 - theta_2)).
 
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