Title: Applied factor analysis in the natural sciences /
Authors: Reyment, R. A.; Jöreskog, K. G.
Publisher: Cambridge University Press,
Year: 1993
Subjects: Factor analysis.
Contents: 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 --^