494

APPENDIX II

TABLE IV
Factorial Expansion of Covariance and Measurement Matrices.

(a) Analysis of Covariance Matrix into Weighted Sum of Unit
Hierarchies: Rt = #t + #B + . . • + #» = »& + i>A +• • • + »»£,.

r~S6 -*s -28

—28 20 8

In28 8 2—

(3) Analysis of Measurement Matrix into the Sum of the Contributions of
its Factors: M = E^M + EJtt + . . . + EnM.

M

?i
h
ft
?4

-6
2
o
4

3
I
— i
-3

3
-3
i
__.1..TJ. V

El

4. __ 2 __ Ji
-6
2
o
4

-* i fr
3
— I
o
— 2

-1 i i
3
— I
0
— 2

£,
0
O
o
O

0 O O

0 £ — •£•
0
2
— I
^^ j

0_._ 1 1 ^^ w "K"
0
— 2
I
X

E*
0
O
o
0

III

1 f 1
0
O
0
o

* * *
0
O
0
0

-6
2
0
4

Total J
3
I
™-!
Il._....tl. /»

3
-3
I
m_.ri »

s [• Initial matrix.

Contribution of
factor.

ISt

Contribution of 2nd
factor.

1 I Contribution of 3rd

aj

factor

Reconstruction of initial
matrix*