Principal components analysis /

• Main Author: Dunteman, George H. (George Henry), 1935-
• Format: eBook
• Language: English
• Published: Newbury Park : Sage Publications, �1989.
• Series: Quantitative applications in the social sciences ; no. 07-069.
• Subjects: Principal components analysis.; Analyse en composantes principales.; MATHEMATICS > Probability & Statistics > Multivariate Analysis.; Principale-componentenanalyse.; Analise multivariada.; Electronic books.

Principal components analysis offers researchers a 'feel' for analysing particular sets of multidimensional data. It is particularly useful in coping with multicolinearity in regression analysis, a persistent problem in behavioral and social science data sets.

Table of Contents:

• 1. Introduction
• Example
• 2. Basic concepts of principal components analysis
• 3. geometrical properties of principal components
• Example
• 4. Decomposition properties of principal components
• Decomposition of the variables
• Spectral decomposition of the correlation or covariance matrix
• 5. Principal components of patterned correlation matrices
• Example
• 6. Rotation of principal components
• Example
• 7. Using principal components to select a subset of variables
• Example
• 8. Principal components versus factor analysis
• Example
• Factor rotation
• 9. Uses of principal components in regression analysis
• Regression on principal components
• Principal components regression
• Example
• 10. Using principal components to detect outlying and influential observations
• 11. Use of principal components in cluster analysis
• 12. Use of principal components analysis in conjunction with other multivariate analysis procedures
• Use of principal components in discriminant analysis
• Example
• Use of principal components in canonical correlation analysis
• 13. Other techniques related to principal components
• Principal coordinate analysis
• Correspondence analysis.