Differences in DF for factanal

["Monroe, Dean" <dean.monroe@okstate.edu>]

Hello:

 

Recently I was working on a Factor analysis project using the factanal command in Splus with mle estimation.  I entered 9 variables and wanted 5 factors, then ran the algorithm.  The significance test showed 5 factors tested with 1 df.  I then ran 4 factors and got 4 factors tested with 6 df.  

 

Why, by changing the number of factors 5 to 4 did the df change by 5?  I would have expected maybe a 2 df change.  Has anyone researched this problem out to see exactly how Splus calculates df in factanal?

 

Dean Monroe