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Latent Variable Models and Factor Analysis (eBook)

A Unified Approach
eBook Download: EPUB
2011 | 3. Auflage
John Wiley & Sons (Verlag)
978-1-119-97370-6 (ISBN)

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Latent Variable Models and Factor Analysis - David J. Bartholomew, Martin Knott, Irini Moustaki
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Latent Variable Models and Factor Analysis provides a comprehensive and unified approach to factor analysis and latent variable modeling from a statistical perspective. This book presents a general framework to enable the derivation of the commonly used models, along with updated numerical examples. Nature and interpretation of a latent variable is also introduced along with related techniques for investigating dependency.

This book:

  • Provides a unified approach showing how such apparently diverse methods as Latent Class Analysis and Factor Analysis are actually members of the same family.
  • Presents new material on ordered manifest variables, MCMC methods, non-linear models as well as a new chapter on related techniques for investigating dependency.
  • Includes new sections on structural equation models (SEM) and Markov Chain Monte Carlo methods for parameter estimation, along with new illustrative examples.
  • Looks at recent developments on goodness-of-fit test statistics and on non-linear models and models with mixed latent variables, both categorical and continuous.

No prior acquaintance with latent variable modelling is pre-supposed but a broad understanding of statistical theory will make it easier to see the approach in its proper perspective. Applied statisticians, psychometricians, medical statisticians, biostatisticians, economists and social science researchers will benefit from this book.



David Bartholomew, Martin Knott and Irini Moustaki, Department of Statistics, The London School of Economics and Political Science, London, UK
Latent Variable Models and Factor Analysis provides a comprehensive and unified approach to factor analysis and latent variable modeling from a statistical perspective. This book presents a general framework to enable the derivation of the commonly used models, along with updated numerical examples. Nature and interpretation of a latent variable is also introduced along with related techniques for investigating dependency. This book: Provides a unified approach showing how such apparently diverse methods as Latent Class Analysis and Factor Analysis are actually members of the same family. Presents new material on ordered manifest variables, MCMC methods, non-linear models as well as a new chapter on related techniques for investigating dependency. Includes new sections on structural equation models (SEM) and Markov Chain Monte Carlo methods for parameter estimation, along with new illustrative examples. Looks at recent developments on goodness-of-fit test statistics and on non-linear models and models with mixed latent variables, both categorical and continuous. No prior acquaintance with latent variable modelling is pre-supposed but a broad understanding of statistical theory will make it easier to see the approach in its proper perspective. Applied statisticians, psychometricians, medical statisticians, biostatisticians, economists and social science researchers will benefit from this book.

David Bartholomew, Martin Knott and Irini Moustaki, Department of Statistics, The London School of Economics and Political Science, London, UK

"Latent Variable Models and Factor Analysis provides a
comprehensive and unified approach to factor analysis and latent
variable modeling from a statistical perspective."
(Mathematical Reviews, 2012)
"Statistical techniques to study the nature and interpretation of a
latent variable should be highly useful for researchers and
practitioners across several fields. The third edition of this book
is comprehensive and provides a solid foundation for understanding
these techniques, and is strongly recommended." (Book Pleasures,
2012)

Erscheint lt. Verlag 28.6.2011
Reihe/Serie Wiley Series in Probability and Statistics
Wiley Series in Probability and Statistics
Wiley Series in Probability and Statistics
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Statistik
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Technik
Schlagworte Angewandte Wahrscheinlichkeitsrechnung u. Statistik • Angew. Wahrscheinlichkeitsrechn. u. Statistik / Modelle • Applied Probability & Statistics • Applied Probability & Statistics - Models • Biostatistics • Biostatistik • David Bartholomew, Martin Knott, Irini Moustaki, latent variable models, factor analysis, covariate effects, nonlinear terms, multiple population analysis, univariate and bivariate margins, structural equation models, SEM, Markov Chain Monte Carlo methods, Foundations of Factor Analysis, Stanley Mulaik, Generalized Latent Variable Modeling, Anders Skrondal, Sophia Rabe-Hesekth, • Statistics • Statistik
ISBN-10 1-119-97370-8 / 1119973708
ISBN-13 978-1-119-97370-6 / 9781119973706
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