A researcher conducted a factor analysis on a set of 10 variables and obtained the following output
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Question:
A researcher conducted a factor analysis on a set of 10 variables and obtained the following output for the first two factors:
Factor 1:
- Eigenvalue = 4.5
- Proportion of Variance Explained = 45%
- Cumulative Proportion of Variance Explained = 45%
Factor 2:
- Eigenvalue = 2.1
- Proportion of Variance Explained = 21%
- Cumulative Proportion of Variance Explained = 66%
(a) What is the total proportion of variance explained by all 10 variables in this analysis? (b) What is the communality of the first variable in this analysis?
(c) What is the communalities total of all 10 variables in this analysis?
(d) What is the percentage of variance explained by each variable for the first factor?
(e) What is the factor loading of the second variable on the second factor?
Show all your calculations and round your answers to two decimal places.
Expert Answer:
The detailed answer for the above question is provided below a The total proportion of variance explained by all 10 variables is the sum of the eigenv... View the full answer
Related Book For 
An Introduction To Statistical Methods And Data Analysis
ISBN: 9781305465527
7th Edition
Authors: R. Lyman Ott, Micheal T. Longnecker
Posted Date:
