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Esempi numerici riguardanti l'analisi delle componenti principali

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16 ANALISI DELLE COMPONENTI PRINCIPALI<br />

Y: MEAN CENTRED DATA MATRIX<br />

a b c d e f<br />

1 1.3333 0.5556 2.1111 -1.3333 -1.5556 -1.1111<br />

2 2.3333 0.5556 1.1111 -1.3333 -1.5556 -1.1111<br />

3 0.3333 1.5556 2.1111 -1.3333 -1.5556 -1.1111<br />

4 -0.6667 -0.4444 -0.8889 0.6667 2.4444 4.8889<br />

5 -0.6667 -0.4444 -0.8889 4.6667 2.4444 0.8889<br />

6 -0.6667 -0.4444 -0.8889 2.6667 4.4444 0.8889<br />

7 -0.6667 -0.4444 -0.8889 -1.3333 -1.5556 -1.1111<br />

8 -0.6667 -0.4444 -0.8889 -1.3333 -1.5556 -1.1111<br />

9 -0.6667 -0.4444 -0.8889 -1.3333 -1.5556 -1.1111<br />

g h i<br />

1 -2.0000 -1.7778 -2.2222<br />

2 -2.0000 -1.7778 -2.2222<br />

3 -2.0000 -1.7778 -2.2222<br />

4 -2.0000 -1.7778 -2.2222<br />

5 -2.0000 -1.7778 -2.2222<br />

6 -2.0000 -1.7778 -2.2222<br />

7 4.0000 3.2222 4.7778<br />

8 5.0000 3.2222 3.7778<br />

9 3.0000 4.2222 4.7778<br />

r: RANK OF Y<br />

8<br />

V: COVARIANCE MATRIX<br />

a b c d e f<br />

a 1.1111 0.4815 1.0741 -0.8889 -1.0370 -0.7407<br />

b 0.4815 0.4691 0.8272 -0.5926 -0.6914 -0.4938<br />

c 1.0741 0.8272 1.6543 -1.1852 -1.3827 -0.9877<br />

d -0.8889 -0.5926 -1.1852 4.4444 4.1481 2.0741<br />

e -1.0370 -0.6914 -1.3827 4.1481 5.1358 3.1605<br />

f -0.7407 -0.4938 -0.9877 2.0741 3.1605 3.6543<br />

g -1.3333 -0.8889 -1.7778 -2.6667 -3.1111 -2.2222<br />

h -1.1852 -0.7901 -1.5802 -2.3704 -2.7654 -1.9753<br />

i -1.4815 -0.9877 -1.9753 -2.9630 -3.4568 -2.4691<br />

g h i<br />

a -1.3333 -1.1852 -1.4815<br />

b -0.8889 -0.7901 -0.9877<br />

c -1.7778 -1.5802 -1.9753<br />

d -2.6667 -2.3704 -2.9630<br />

e -3.1111 -2.7654 -3.4568<br />

f -2.2222 -1.9753 -2.4691<br />

g 8.2222 7.0000 8.7778<br />

h 7.0000 6.3951 7.9383<br />

i 8.7778 7.9383 9.9506

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