Latent variable models and factor analysis
著者
書誌事項
Latent variable models and factor analysis
（Kendall's library of statistics, 7）
Arnold , Co-published in the USA by Oxford University Press, 1999
2nd ed
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注記
Previous ed.: London : Griffin, 1987
Includes bibliographical references (p. [191]-205) and indexes
内容説明・目次
内容説明
Hitherto latent variable modelling has hovered on the fringes of the statistical mainstream but if the purpose of statistics is to deal with real problems, there is every reason for it to move closer to centre stage. In the social sciences especially, latent variables are common and if they are to be handled in a truly scientific manner, statistical theory must be developed to include them. This book aims to show how that should be done. This second edition is a complete re-working of the book of the same name which appeared in the Griffin's Statistical Monographs in 1987. Since then there has been a surge of interest in latent variable methods which has necessitated a radical revision of the material but the prime object of the book remains the same. It provides a unified and coherent treatment of the field from a statistical perspective. This is achieved by setting up a sufficiently general framework to enable the derivation of the commonly used models. The subsequent analysis is then done wholly within the realm of probability calculus and the theory of statistical inference.Numerical examples are provided as well as the software to carry them out ( where this is not otherwise available).
Additional data sets are provided in some cases so that the reader can aquire a wider experience of analysis and interpretation.
目次
- Basic ideas
- foundations
- factor analysis and latent profile analysis
- latent class and latent trait analysis - binary response data, polysomous response data
- mixed response variables
- posterior analysis
- linear structural relations methods
- comparison with principle components analysis
- synoptic view.
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