, 1. , , . .
1. . , .
2. , , . , . , . ( , .) . , .
3. , . , , .
4. , , . .
:
X 1 ^, 2, ,... Մ. , ) = 0
() = R^ . /*= 1 F{, F2,... Fm. ,
E(F) = 0
E(FF) = Rff .
U= 1 U{, U2,... Un.
,
-.
= , ( ).
Y= .
, X, ! . :
X=AF + VU
, , ] :
߄= (') = E{(AF + YU) (AF + YU)'} =
= E{(AF + YU)(F'A' + U'Y')} = = (AFF'A'+ AFU'Y' + VUF'A') = VUU'V) = = ARjA'+ARfuY' + VRUJA'+ Y1.
, , : R^ = Rj = , R^ = ARjjA ' + Y1.
, V- . :
R^ , . Rc = ߄ - ~ .
|
|
. , , . . . , , . * . :
, = E(XFf) = E[(AF + VU)P] = ARff+ VRHf = ARff
, Rff Arff , () .
1 Stanley A. Muliak. The Foudations of Factor Analysis (New york: McGraw-Hill, 1972).