PSS-tTestPair-Algorithm
For given degree of freedom and standard deviation , the Power for paired sample t-Test is calculated by:
Where the noncentrality parameter:
and
/math-e8445ea90237ebd568d923332f569840.png?v=0 "\nu =n-1\,\!")
and /math-aed8477f52f3357686a210b688c27d7d.png?v=0 "s\,\!")
standard deviation , the Power for paired sample t-Test is calculated by:
and standard deviation , the Power for paired sample t-Test is calculated by:
/math-90e72b5bba11abb5d294d2587220648a.png?v=0 "Power=Prob(t >t_{(1-\alpha ,\nu )},\nu ,\lambda )\,\!")
/math-f314baa848ab627af0377b75dec94180.png?v=0 "Power=Prob(t <t_{(\alpha ,\nu )},\nu ,\lambda )\,\!")
/math-d8f208a36656f1255c4485c4edf1053e.png?v=0 "Power=Prob(t >t_{(1-\alpha /2,\nu )},\nu ,\lambda )+ Prob(t <t_{(\alpha /2,\nu )},\nu ,\lambda )\,\!")
/math-569b2398820839ab74c83de61237cfde.png?v=0 "\lambda =\delta \sqrt{n} \,\!")
/math-8c1c98afea981ae924673f23068851a6.png?v=0 "\delta =\frac{ \mu _\alpha -\mu _0 }s\,\!")