3.2 Bartlett’s Test

The Bartlet’s test of sphericity (Bartlett 1951) is a test in factor analysis used to test the hypothesis that the correlation matrix is an identity matrix. In other words, the correlation between the variables is zero. A statistical test with a p-value less than 0.050 shows that the correlation matrix is not an identity matrix, and we can proceed with factor analysis.

References

Bartlett, Maurice S. 1951. “The Effect of Standardization on a \(\chi\) 2 Approximation in Factor Analysis.” Biometrika 38 (3/4): 337–44.