## Factor Analysis as a Statistical MethodThe scope of factor analysis; Parameters in factor models; Principal component analysis; Estimation in the unrestricted model; Sampling formulae for the unrestricted model; Factor transformation and interpretation; Estimation in restricted factor models; The estimation of factor scores; Identifying factors in different populations. |

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### Contents

Parameters in Factor Models | 6 |

Principal Component Analysis | 15 |

Estimation in the Unrestricted Model | 24 |

Copyright | |

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approximation assume Chapter column component compute consider convenient correlation corresponding covariance matrix criterion defined degrees of freedom denote derivatives described determined diagonal elements diagonal matrix discussed distribution equal equation errors estimation theory evaluated example expression fact factor analysis final follows free parameters function further given gives Hence hypothesis initial inverse iterations jth column latent roots linear loadings maximum likelihood estimates means method minimisation observations obtained original orthogonal orthogonal matrix populations positive positive definite possible practice probability problems procedure replaced represented residual respect rotation sample satisfying scores shown simple solution square standard standardised suppose symmetric symmetric matrix Table tion transformation true unique unit unity usually variance variates various vector zero