论文信息 - Iterative Majorizing Rotation to Orthogonal Simple Structure Solution.

Iterative Majorizing Rotation to Orthogonal Simple Structure Solution.

An iterative process is proposed for obtaining an orthogonal simple structure solution. At each iteration step a target matrix is constructed, such that the relative contributions of the target majorize the original ones, factor by factor. The convergence of the procedure is proven. The algorithm is illustrated with several standard numerical examples. Simple structure solution is achieved for the Thurstone's 26-variable box problem.

N. Trendafilov | N T Trendafilov

[1] S. Mulaik,et al. On Simple Structure and the Solution to Thurstone's Invariant Box Problem. , 1971, Multivariate behavioral research.

[2] Peter M. Bentler,et al. Factor simplicity index and transformations , 1977 .

[3] P. Schönemann,et al. A generalized solution of the orthogonal procrustes problem , 1966 .

[4] H. Kiers. Simplimax: Oblique rotation to an optimal target with simple structure , 1994 .

[5] R. Jennrich,et al. Rotation for simple loadings , 1966, Psychometrika.

[6] L. L. Thurstone,et al. The perceptual factor , 1938 .

[7] On weighted procrustes and hyperplane fitting in factor analytic rotation , 1977 .

[8] OPTIMIZING THE RESOLUTION BETWEEN SALIENT AND NON‐SALIENT FACTOR PATTERN COEFFICIENTS , 1972 .

[9] Edward E. Cureton,et al. The weighted varimax rotation and the promax rotation , 1975 .

[10] N. Trendafilov,et al. A Simple Method for Procrustean Rotation in Factor Analysis Using Majorization Theory. , 1994, Multivariate behavioral research.