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" Applied factor analysis in the natural sciences / "
Richard A. Reyment, K.G. Jöreskog ; appendix by Leslie F. Marcus.
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BL
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| Record Number
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1044530
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b798900
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| Main Entry
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Reyment, R. A.
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| Title & Author
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Applied factor analysis in the natural sciences /\ Richard A. Reyment, K.G. Jöreskog ; appendix by Leslie F. Marcus.
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| Edition Statement
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1st pbk. ed.
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| Publication Statement
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Cambridge [England] ;New York, NY, USA :: Cambridge University Press,, 1996.
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| Page. NO
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xii, 371 pages :: illustrations ;; 23 cm
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| ISBN
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0521412420
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: 0521575567
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: 9780521412421
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: 9780521575560
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| Bibliographies/Indexes
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Includes bibliographical references (pages 351-362) and index.
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| Contents
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1. Introduction. 1.1. Structure in multivariate data. 1.2. An example of principal component factor analysis. 1.3. Overview of problems amenable to treatment by factor-analytical techniques -- 2. Basic Mathematical and Statistical Concepts. 2.2. Geometrical interpretation of data matrices. 2.3. Elementary vector operations. 2.4. The geometry of vectors. 2.5. Types of matrices. 2.6. Elementary matrix arithmetic. 2.7. Normal and orthonormal vectors and matrices. 2.8. Descriptive statistics in matrix notation. 2.9. Rotation of coordinate systems. 2.10. The structure of a matrix. 2.11. Eigenvalues and eigenvectors. 2.12. Basic structure of a matrix and the Eckart-Young theorem. 2.13. Least-squares properties of eigenvalues and eigenvectors. 2.14. Canonical analysis of asymmetry -- 3. Aims, Ideas, and Models of Factor Analysis. 3.2. Fixed and random cases. 3.3. Discussion of models. 3.4. Model of the variances and covariances. 3.5. Principal component versus true factor analysis.
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| Abstract
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"This graduate-level text aims to introduce students of the natural sciences to the powerful technique of factor analysis and to provide them with the background necessary to be able to undertake analyses on their own. A thoroughly updated and expanded version of the authors' successful textbook on geological factor analysis, this book draws on examples from botany, zoology, ecology, and oceanography, as well as geology. Applied multivariate statistics has grown into a research area of almost unlimited potential in the natural sciences. The methods introduced in this book, such as classical principal components, principal component factor analysis, principal coordinate analysis, and correspondence analysis, can reduce masses of data to manageable and interpretable form. Q-mode and Q-R-mode methods are also presented. Special attention is given to methods of robust estimation and the identification of atypical and influential observations. Throughout the book, the emphasis is on application rather than theory."--Back cover.
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| Subject
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Factor analysis.
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Geology-- Statistical methods.
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Analise multivariada.
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Analyse factorielle.
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Estatistica aplicada.
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Factor analysis.
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Geology-- Statistical methods.
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Sciences naturelles-- Méthodes statistiques.
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| Dewey Classification
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550.15195354
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| LC Classification
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QA278.5.R49 1996
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| Added Entry
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Jöreskog, K. G.
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