Objective-C implementation of the Wilson Score Interval
I'm looking for an objective-c library or just the functions that can handle calculating the Wilson Sco开发者_JAVA技巧re Interval explained here:
http://www.evanmiller.org/how-not-to-sort-by-average-rating.html
For reference, here's a Ruby implementation from the same source:
require 'statistics2'
def ci_lower_bound(pos, n, power)
if n == 0
return 0
end
z = Statistics2.pnormaldist(1-power/2)
phat = 1.0*pos/n
(phat + z*z/(2*n) - z * Math.sqrt((phat*(1-phat)+z*z/(4*n))/n))/(1+z*z/n)
end
Assuming the implementation for pnormaldist listed here is correct (i've copied it verbatim):
double pnormaldist(double qn)
{
double b[] = {1.570796288, 0.03706987906, -0.8364353589e-3, -0.2250947176e-3, 0.6841218299e-5, 0.5824238515e-5, -0.104527497e-5, 0.8360937017e-7, -0.3231081277e-8, 0.3657763036e-10, 0.6936233982e-12};
if(qn < 0.0 || 1.0 < qn)
return 0.0;
if(qn == 0.5)
return 0.0;
double w1 = qn;
if(qn > 0.5)
w1 = 1.0 - w1;
double w3 = -log(4.0 * w1 * (1.0 - w1));
w1 = b[0];
int i=1;
for(;i<11;i++)
w1 += b[i] * pow(w3,i);
if(qn > 0.5)
return sqrt(w1*w3);
return -sqrt(w1*w3);
}
double ci_lower_bound(int pos, int n, double power)
{
if(n==0)
return 0.0;
double z = pnormaldist(1-power/2);
double phat = 1.0*pos/n;
return (phat + z*z/(2*n) - z * sqrt((phat*(1-phat)+z*z/(4*n))/n))/(1+z*z/n);
}
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