














• 
Factor analysis
only captures pairwise



correlations
between components of the data.




– 
It
only depends on the covariance matrix of




the
data.




– 
It
completely ignores higherorder statistics




• 
Consider
the dataset: 111, 100, 010, 001




• 
This
has no pairwise correlations but it does have


strong
third order structure.

