T-Test of a Proportion
Jump to navigation
Jump to search
Where [math]\displaystyle{ g }[/math] is the observed proportion and [math]\displaystyle{ e }[/math] is the expected proportion, [math]\displaystyle{ n }[/math] is the sample size and [math]\displaystyle{ d_{eff} }[/math] is Extra deff:
[math]\displaystyle{ t = \frac{g - e}{\sqrt{d_{eff}g(1-g)/n}} }[/math]
where [math]\displaystyle{ p \approx 2\Pr(t_{n-1} \ge |t|) }[/math] if [math]\displaystyle{ g \ne e }[/math] and NaN otherwise,
Where Bessel's correction is applied:
[math]\displaystyle{ t = \frac{p - e}{\sqrt{d_{eff}g(1-g)/(n-1)}} }[/math]