Convergence in mean square of factor predictors

被引：4
|
作者：
Krijnen, WP [1 ]
机构：
[1] Univ Amsterdam, Dept Psychol, NL-1018 WB Amsterdam, Netherlands
来源：
BRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGY | 2004年 / 57卷
关键词：
D O I：
10.1348/0007110042307140
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Sufficient conditions for mean square convergence of factor predictors in common factor analysis are given by Guttman, by Williams, and by Schneeweiss and Mathes. These conditions do not hold for confirmatory factor analysis or when an error variance equals zero (Heywood cases). Two sufficient conditions are given for the three basic factor predictors and a predictor from rotated principal components analysis to converge to the factors of the model for confirmatory factor analysis, including Heywood cases. For certain model specifications the conditions are necessary. The conditions are sufficient for the existence of a unique true factor A geometric interpretation is given for factor indeterminacy and mean square convergence of best linear factor prediction.
引用
收藏
页码：311 / 326
页数：16
相关论文
共 50 条
  • [11] Modifier formula on mean square convergence of LMS algorithm
    Gu, YT
    Tang, K
    Cui, HJ
    Du, W
    ELECTRONICS LETTERS, 2002, 38 (19) : 1147 - 1148
  • [12] SINGULAR ARBITRARY PROCESSES AND MEAN-SQUARE CONVERGENCE
    POGANY, T
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1987, 34 (3-4): : 197 - 205
  • [13] Mean Square Convergence of Consensus Algorithms in Random WSNs
    Silva Pereira, Silvana
    Pages-Zamora, Alba
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2010, 58 (05) : 2866 - 2874
  • [14] Mean square convergence of hierarchical least square identification under the attenuating excitation
    Ding, Feng
    Ding, Tao
    Yang, Jia-Ben
    Xu, Yong-Mao
    Kongzhi yu Juece/Control and Decision, 2002, 17 (01): : 6 - 10
  • [15] Convergence of forgetting factor least square algorithms
    Ding, F
    Ding, T
    2001 IEEE PACIFIC RIM CONFERENCE ON COMMUNICATIONS, COMPUTERS AND SIGNAL PROCESSING, VOLS I AND II, CONFERENCE PROCEEDINGS, 2001, : 433 - 436
  • [16] ON THE MEAN-SQUARE CONVERGENCE OF THE CONVOLUTION REPRESENTATION OF LINEAR FILTERS
    FINDLEY, DF
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1984, 13 (09) : 1073 - 1087
  • [17] Mean square convergence of adaptive envelope-constrained filtering
    Tseng, CH
    Teo, KL
    Cantoni, A
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2002, 50 (06) : 1429 - 1437
  • [18] On Initial Convergence Behavior of the Kernel Least Mean Square Algorithm
    Chen, Badong
    Wang, Ren
    Zheng, Nanning
    Principe, Jose C.
    2015 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN), 2015,
  • [19] Convergence in mean square for controlled singularly perturbed stochastic systems
    Fan, KS
    STOCHASTIC ANALYSIS AND APPLICATIONS, 1997, 15 (03) : 327 - 344
  • [20] The behavior of mean square oscillation and convergence under regular transformations
    Agnew, RP
    AMERICAN JOURNAL OF MATHEMATICS, 1931, 53 : 204 - 216
12345