📄 yydy321a.sas
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/* yydy321.sas */
data d321;
input num x1-x3;
cards;
1 3.7 48.5 9.3
2 5.7 65.1 8.0
3 3.8 47.2 10.9
4 3.2 53.2 12.0
5 3.1 55.5 9.7
6 4.6 36.1 7.9
7 2.4 24.8 14.0
8 7.2 33.1 7.6
9 6.7 47.4 8.5
10 5.4 54.1 11.3
11 3.9 36.9 12.7
12 4.5 58.8 12.3
13 3.5 27.8 9.8
14 4.5 40.2 8.4
15 1.5 13.5 10.1
16 8.5 56.4 7.1
17 4.5 71.6 8.2
18 6.5 52.8 10.9
19 4.1 44.1 11.2
20 5.5 40.9 9.4
;
proc iml;
n=20; p=3;
m0={4 50 10};
use d321;
xa={x1 x2 x3};
read all var xa into x; print x;
ln={[20] 1} ; print ln;
x0=(ln*x)/n; print x0;
xm=x0-m0; print xm;
mm=i(20)-j(20,20,1)/n;
a=x`*mm*x; print a;
ai=inv(a); print ai;
dd=xm*ai*xm`; d2=(n-1)*dd;
t2=n*d2;
f=(n-p)*t2/((n-1)*p);
print dd d2 t2 f;
p0=1-probf(f,p,n-p);
print p0;
fa=finv(0.95,p,n-p);
beta=probf(fa,p,n-p,t2);
print fa beta;
run;
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