Statistical Factor Analysis and Related Methods :Theory and Applications ( Wiley Series in Probability and Statistics )

Publication subTitle :Theory and Applications

Publication series :Wiley Series in Probability and Statistics

Author: Alexander T. Basilevsky  

Publisher: John Wiley & Sons Inc‎

Publication year: 2009

E-ISBN: 9780470317730

P-ISBN(Hardback):  9780471570820

Subject: O212.4 Multivariate Analyses

Language: ENG

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Description

Statistical Factor Analysis and Related Methods Theory and Applications In bridging the gap between the mathematical and statistical theory of factor analysis, this new work represents the first unified treatment of the theory and practice of factor analysis and latent variable models. It focuses on such areas as:
* The classical principal components model and sample-population inference
* Several extensions and modifications of principal components, including Q and three-mode analysis and principal components in the complex domain
* Maximum likelihood and weighted factor models, factor identification, factor rotation, and the estimation of factor scores
* The use of factor models in conjunction with various types of data including time series, spatial data, rank orders, and nominal variable
* Applications of factor models to the estimation of functional forms and to least squares of regression estimators

Chapter

1. Preliminaries

pp.:  1 – 29

2. Matrixes, Vector Spaces

pp.:  29 – 65

3. The Ordinary Principal Components Model

pp.:  65 – 125

4. Statistical Testing of the Ordinary Principal Components Model

pp.:  125 – 210

5. Extensions of the Ordinary Principal Components Model

pp.:  210 – 278

6. Factor Analysis

pp.:  278 – 379

7. Factor Analysis of Correlated Observations

pp.:  379 – 451

8. Ordinal and Nominal Random Data

pp.:  451 – 529

9. Other Models for Discrete Data

pp.:  529 – 598

10. Factor Analysis and Least Squares Regression

pp.:  598 – 652

Exercises

pp.:  652 – 715

References

pp.:  715 – 718

Index

pp.:  718 – 761

LastPages

pp.:  761 – 770

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