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Principal Components Method
A Bose
BIMTECH
November 2009
A Bose (BIMTECH)
Factor Analysis
1/ 44
November 2009
1 / 44
What is Factor Analysis
Table of Contents
1 2 3
4 5
What is Factor Analysis Description of an Ilustrative Problem Inputs for SPSS Descriptives inputs Extraction input Rotation input Request Analysis Export output PCA Analysis Check Appropriateness of Factor Analysis
Sample Size Requirement validation Presence of substantial correlations Sampling adequacy of individual variables Sampling adequacy for set of variables Bartlett test of sphericity
Number of factors to extract
Latent root criterion Percentage of variance criterion
Evaluating Communalities
Communality requiring variable removal
Identifying complex structure
A Bose (BIMTECH) Factor Analysis 2/ 44 November 2009 2 / 44
What is Factor Analysis
What is Factor Analysis Factor Analysis is a method of Data Reduction. It does this by seeking underlying unobservable (latent) variables or factors that are reflected in the observed variables (manifest variables or factors). The latent factors explain most of the variance observed in the much larger number of manifest variables Principal Component Analysis, which is a technique or method for Factor Analysis, transforms a set of correlated variables into a smaller set of uncorrelated variables called principal components. Factor analysis requires a large sample size, at least 300.
A Bose (BIMTECH)
Factor Analysis
3/ 44
November 2009
3 / 44
Description of an Ilustrative Problem
Table of Contents
1 2 3
4 5
What is Factor Analysis Description of an Ilustrative Problem Inputs for SPSS Descriptives inputs Extraction input Rotation input Request Analysis Export output PCA Analysis Check Appropriateness of Factor Analysis
Sample Size Requirement validation Presence of substantial correlations Sampling adequacy of individual variables Sampling adequacy for set of variables...