Geodesic
Use of the pseudoinverse matrix of a~factor pattern in the measurement of factors
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 3, pp. 20-30.

Voir la notice de l'article provenant de la source Math-Net.Ru

Under consideration is the problem of finding factor values. Some theorems are proved, yielding the pseudoinversematrix for a factor pattern obtained by the principal-component and factor analysis methods. The corresponding computational algorithms are developed for finding factor values.
Mots-clés : pseudoinverse matrix
Keywords: factor structure, problem of finding factor values. 
@article{SJIM_2011_14_3_a2,
     author = {V. V. Gol'tyapin},
     title = {Use of the pseudoinverse matrix of a~factor pattern in the measurement of factors},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {20--30},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2011_14_3_a2/}
}
TY  - JOUR
AU  - V. V. Gol'tyapin
TI  - Use of the pseudoinverse matrix of a~factor pattern in the measurement of factors
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2011
SP  - 20
EP  - 30
VL  - 14
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2011_14_3_a2/
LA  - ru
ID  - SJIM_2011_14_3_a2
ER  - 
%0 Journal Article
%A V. V. Gol'tyapin
%T Use of the pseudoinverse matrix of a~factor pattern in the measurement of factors
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2011
%P 20-30
%V 14
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2011_14_3_a2/
%G ru
%F SJIM_2011_14_3_a2
V. V. Gol'tyapin. Use of the pseudoinverse matrix of a~factor pattern in the measurement of factors. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 3, pp. 20-30. http://geodesic.mathdoc.fr/item/SJIM_2011_14_3_a2/

[1] Iberla K., Faktornyi analiz, Statistika, M., 1989

[2] Kharman G., Sovremennyi faktornyi analiz, Statistika, M., 1972

[3] Thurstone L. L., Multiple Factor Analysis, Univ. Chicago Press, Chicago, 1947 | MR | Zbl

[4] Khedli D., Lineinaya algebra, Vysshaya shkola, M., 1966

[5] Gantmakher F. R., Teoriya matrits, Nauka, M., 1989 | MR

[6] Dubrov A. M., Obrabotka statisticheskikh dannykh metodom glavnykh komponent, Statistika, M., 1978 | MR

[7] Fikhtengolts G. M., Kurs differentsialnogo i integralnogo ischisleniya, Nauka, M., 1970

[8] Kalitkin N. N., Chislennye metody, Nauka, M., 1978 | MR