## Multivariate Exploratory Data Analysis: A Perspective on Exploratory Factor AnalysisIn an exciting return to the roots of factor analysis, Allen Yates reviews its early history to clarify original objectives created by its discoverers and early developers. He then shows how computers can be used to accomplish the goals established by these early visionaries, while taking into account modern developments in the field of statistics that legitimize exploratory data analysis as a technique of discovery. The book presents a unique perspective on all phases of exploratory factor analysis. In doing so, the popular objectives of the method are literally turned upside down both at the stage where the model is being fitted to data and in the subsequent stage of simple structure transformation for meaningful interpretation. What results is a fully integrated approach to exploratory analysis of associations among observed variables, revealing underlying structure in a totally new and much more invariant manner than ever before possible. |

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### Contents

PROLOGUE | 1 |

INTRODUCTORY ALGEBRA GEOMETRY AND TERMINOLOGY | 7 |

THE FACTOR ANALYSIS MODEL | 9 |

TRANSFORMATION OF PRIMARY FACTORS ON THE BASIS OF THURSTONES ORIGINAL MATHEMATICAL CRITERION FOR A BESTFIT... | 29 |

SIMPLE STRUCTURE TRANSFORMATION | 31 |

PRACTICAL APPLICATION OF DIRECT GEOMIN TRANSFORMATION | 61 |

BOUNDING THE TEST VECTOR CONFIGURATION WITH HYPERPLANES THROUGH SIMPLE STRUCTURE TRANSFORMATION | 79 |

SIMPLE STRUCTURE RECONSIDERED | 81 |

A GLOBAL STRATEGY FOR BOUNDING HYPERPLANE SIMPLE STRUCTURE TRANSFORMATION | 133 |

FACTORIAL INVARIANCE AND THE GLOBAL DIRECT GEOPLANE TRANSFORMATION STRATEGY | 153 |

DISTINGUISHING INVARIANT MAJOR COMMON FACTORS FROM UNSTABLE MINOR FACTORS OF GROUP OVERLAP | 185 |

ALTERNATIVE APPROACHES TO THE PROBLEM OF EXTRACTING COMMON FACTORS | 187 |

RESISTANT FITTING AND THE NUMBER OF FACTORS PROBLEMTOWARD FULLY EXPLORATORY FACTOR ANALYSIS | 233 |

FULLY EXPLORATORY FACTOR ANALYSIS | 283 |

HISTORICAL PERSPECTIVE PRACTICAL APPLICATION AND FUTURE POSSIBILITIES | 285 |

RELEASE FROM THE BURDEN OF CONFIRMATION IN FULLY EXPLORATORY MULTIVARIATE DATA ANALYSIS | 323 |

### Other editions - View all

Multivariate Exploratory Data Analysis: A Perspective on Exploratory Factor ... Allen Yates No preview available - 1987 |

### Common terms and phrases

bounding hyperplane simple box problem centroid changes in test cluster-oriented collinear Collinearity-Resistant common factor model computational convex cone covariance matrix criterion 32 dimensionality direct geomin transformation Direct Geoplane Transformed direct quartimin direction cosines domain exploratory data analysis exploratory factor analysis Extended Vectors Plot factor analysis model factor pattern coefficients factor pattern matrix factor space factor transformation factorial complexity factorial invariance Figure geometric mean group factors highly hyperplane simple structure hyperplane width tolerance hypothetical determinants independent cluster intersections invariant common factors invariant with respect latent determinants latter least squares Lord's data major principal axis manifest variables maximum likelihood method minor factor multidimensional scaling observed variables original mathematical orthants orthogonal bounds pair positive manifold assumption primary factor pattern reference vectors residual resistant fitting rotation sampling simple structure transformation smallest space analysis solution Table test battery composition test vector configuration Thurstone Thurstone's original tion unique factor variance weighted least squares zero