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.


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