Luis A. Afonso
Posts:
4,758
From:
LIsbon (Portugal)
Registered:
2/16/05


FALSIFICATION
Posted:
Jun 13, 2007 12:19 PM


Followup, in SHORT, the continuity correction leads to better results: ______With C.C._____EXACT_______Without C.C. ______0.00144______0.00156________0.00212____ Diff___0.00012_____________________0.00056____
*************** See my post Jun 13, 2007, 7:29 AM. And APPRECIATE that Jack Tomsky DID FALSIFY my evaluation
I WROTE (ipsis verbis, please check): Date: Jun 13, 2007 7:29 AM Author: Luis A. Afonso Subject: Re: Help with probability&stat problem
EXACT : p(X<=10) = 0.00156 Normal Approximation *** Without C.C. Z = (10  22)/sqrt(0.2*0.8*110) = 22/ 4.1952 = 2.8604. ________________ F(Z) = 0.00212 *** With C.C. ________Z = (10  22 + 0.5)/ 4.1952 = 2.9796 ________________________ F(Z) = 0.00144 The differences approxEXACT are respectively
_______Without = +0.00056 _______With C.C. = 0.00012. ********
Jack´s response:
The exact probablity calculated from the binomial distribution is 0.0015595. The Afonso normal approximation is 0.002115. The "improved" Afonso normal approximation with a correction factor is 0.003061, which is worse. Jack
******************************* Licas

