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Paired t-test_Unequal variances [Pipeline Networks]
x = c(2748, 2700, 2655, 3149, 3257, 3213, 2822, 2511, 3220, 2753) y = c(3027, 3356, 3359, 3297, 3125, 2910, 2889, 2902) sx=sqrt(var(x)) yx=sqrt(var(y)) m=length(x); n=length(y); Xb=mean(x) Yb=mean(y) s1=sd(x); s2=sd(y); S2=((m-1)*s1^2+(n-1)*s2^2)/(m+n-2) SE=sqrt(S2*(1/m+1/n)) a=s1^2/m; b=s2^2/n t=((Xb-Yb)-0)/SE v=(a+b)/(a^2/(m-1)+b^2/(n-1)) degree_freedom= round(v) pt(0.025,v) Xb Yb v sd(x)/sd(y) sd(x) t.test(x,y,alt="less")
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