Discussion
Bartlett's Test of Sphericity results indicate that correlation matrix of :
Answer: A
The result shows that the population correlation matrix is not an identity matrix.
Bartlett's test of sphericity tests the null hypothesis that, in the population, the variables are uncorrelated, which means the population correlation matrix is an identity matrix (ones on the diagonal, zeros elsewhere). With \(p \lt .001\) the null hypothesis is rejected, so there are real correlations among the variables and factor analysis is worthwhile.
Like any significance test, it draws a conclusion about the population, not the sample: a sample correlation matrix is virtually never exactly an identity matrix. 'Population is identity matrix' is the hypothesis the test rejected.
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