## Factor Analysis of Data MatricesPt. I. Introductory background. The role of factor analysis in science -- Simple matrix concepts -- Matrix structure and solutions -- pt. II. Matrix factoring methods--A. The centroid method -- Grouping methods -- Basic structure successive factor methods -- Simultaneous basic structure methods -- pt. III. Matrix factoring methods--B. Jacobi-type solutions -- Order reduction methods -- Solutions from incomplete covariance matrices -- Factoring the data matrix -- pt. IV. Categories, origin, and scale. The problem of origin -- Categorical variations in factor analysis -- The problem of scaling -- Image analysis -- pt. V. Transformation problems and methods. Primary factor matrices from hypotheses -- Analytical rotations -- Direct varimax solutions -- Factor score matrices -- pt. VI. Special problems. General factor solutions -- Factor analysis and the binary data matrix -- Factor analysis and prediction -- Multiple set factor analysis -- Appendix : Fortran II computer programs. |

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### Contents

The Role of Factor Analysis in Science | 3 |

Simple Matrix Concepts | 31 |

Matrix Structure and Solutions | 79 |

Copyright | |

24 other sections not shown

### Common terms and phrases

accounted applied approximation arbitrary assume attributes basic diagonal basic structure begin binary calculated calculated in Eq CALL centroid Chapter Characteristics column common Computational consider correlation matrix corresponding covariance matrix criterion data matrix diagonal elements diagonal matrix DIMENSION discussed elements entities equal equation factor analysis factor loading matrix factor loading vector factor matrix factor score matrix factor vector FORMAT given given by Eq gives indicated in Eq inverse involved iterations less major means measures method minor product multiple obtained original orthogonal particular postmultiplied predictor problem procedure PUT TAPE READ INPUT TAPE residual matrix respect REWIND root scalar scaling simple structure solution solve specified square successive supermatrix symmetric matrix Table term transformation transpose triangular unit variables variance varimax WRITE OUTPUT TAPE yield