## Modern Factor AnalysisThis thoroughly revised third edition of Harry H. Harman's authoritative text incorporates the many new advances made in computer science and technology over the last ten years. The author gives full coverage to both theoretical and applied aspects of factor analysis from its foundations through the most advanced techniques. This highly readable text will be welcomed by researchers and students working in psychology, statistics, economics, and related disciplines. |

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### Contents

Factor Analysis Model | 11 |

Matrix Concepts Essential to Factor Analysis | 33 |

Geometric Concepts Essential to Factor Analysis | 47 |

The Problem of Communality | 70 |

Properties of Different Factor Methods | 93 |

Early Factor Models and Methods | 113 |

Principalfactor and Related Methods | 133 |

Minres Method | 174 |

Objective Oblique MultipleFactor Solution | 300 |

Congruent and Prescribed Factor Solutions | 336 |

Measurement of Factors | 363 |

Problems | 391 |

Answers | 413 |

Appendix | 420 |

Statistical Tables | 441 |

Bibliography | 447 |

Maximumlikelihood Method | 197 |

Other Direct Methods | 217 |

Subjective Basis for MultipleFactor Solutions | 247 |

Objective Orthogonal MultipleFactor Solutions | 278 |

475 | |

486 | |

### Common terms and phrases

angle approximation axis bi-factor biquartimin calculation centroid chapter column common factors common-factor space communality coordinates correlation matrix corresponding criterion determined developed diagonal matrix direction cosines eigenvalues eigenvectors eight physical variables elements employed equations estimates example expression factor analysis factor coefficients factor loadings factor matrix factor pattern factor solution factor structure formula given hyperplane initial solution involving iteration Kaiser likelihood function linear linearly independent mathematical maximum maximum-likelihood measurements minres solution multiple correlation multiple-factor solution notation number of common number of factors number of variables oblique factors oblique solution observed correlations obtained original orthogonal transformation points primary factors principal components principal-factor method principal-factor solution problem procedure procrustes quartimax quartimin rank reproduced correlations residuals rotation sample set of variables simple structure solution of Table square root statistical symmetric matrix theoretical theory Thurstone transformation matrix twenty-four psychological tests uncorrelated unique factors values vectors zero