Analytical Closed-Form Solution for General Factor with Many Variables

被引：0

作者：

Lipovetsky, Stan ^{[1
]}

Manewitsch, Vladimir ^{[2
]}

机构：

[1] GfK North Amer, Minneapolis, MN 55427 USA

[2] NIM eV, Nurnberg, Germany

来源：

JOURNAL OF MODERN APPLIED STATISTICAL METHODS | 2019年 / 18卷 / 01期

关键词：

Factor loadings; latent variable; Spearman method of triads; multivariate closed-form solution; TRIADS; VALIDATION; BIOMARKERS; PROPERTY; VALIDITY;

D O I：

10.22237/jmasm/1556668980

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The factor analytic triad method of one-factor solution gives the explicit analytical form for a common latent factor built by three variables. The current work considers analytical presentation of a general latent factor constructed in a closed-form solution for multivariate case. The results can be supportive to theoretical description and practical application of latent variable modeling, especially for big data because the analytical closed-form solution is not prone to data dimensionality.

引用

页数：22

共 50 条

[1] AN EXACT, CLOSED-FORM, ANALYTICAL SOLUTION TO THE GENERAL-SYNTHESIS PROBLEM
STONE, WR
PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS, 1981, 294 : 90 - 95
[2] General solution of a closed-form space resection
Zeng, Zhuoqiao
Wang, Xibo
Photogrammetric Engineering and Remote Sensing, 1992, 58 (03): : 326 - 338
[3] A SIMPLE SMOOTHER - CLOSED-FORM SOLUTION AND ANALYTICAL RESULTS
MIETH, HJ
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 1991, 27 (02) : 208 - 213
[4] A GENERAL-SOLUTION OF A CLOSED-FORM SPACE RESECTION
ZENG, ZQ
WANG, XB
PHOTOGRAMMETRIC ENGINEERING AND REMOTE SENSING, 1992, 58 (03): : 327 - 338
[5] A closed-form solution for Parallel Factor (PARAFAC) Analysis
Roemer, Florian
Haardt, Martin
2008 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING, VOLS 1-12, 2008, : 2365 - +
[6] Thunderstorm gust response factor: A closed-form solution
Roncallo, Luca
Tubino, Federica
JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS, 2023, 240
[7] Best-Worst Scaling in analytical closed-form solution
Lipovetsky, Stan
Conklin, Michael
JOURNAL OF CHOICE MODELLING, 2014, 10 : 60 - 68
[8] General Closed-Form Solution of Piecewise Circular Frames of Aircraft
Picchi Scardaoni, Marco
Frediani, A.
AIAA JOURNAL, 2019, 57 (03) : 1338 - 1342
[9] A CLOSED-FORM SOLUTION TO A QUADRATIC OPTIMIZATION PROBLEM IN COMPLEX-VARIABLES
HANNA, MT
SIMAAN, M
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1985, 47 (04) : 437 - 450
[10] Closed-form solution for SPUDTs
Danicki, Eugene J.
Hickernell, Fred S.
Mateescu, Irina
2005 IEEE INTERNATIONAL FREQUENCY CONTROL SYMPOSIUM AND EXHIBITION, 2005, : 152 - 155

← 1 2 3 4 5 →