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Error in structural equation model - "The model has negativedegrees of freedom"

1 message · Sunil W

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Hi John
Thanks a lot for the reply.

Could you suggest how I can correct this problem? I tried using a 
correlation matrix instead of raw moments, but still got the same error. I 
also fixed parameters v1,v2,v3,a1 at 1; then it gave me the error that the 
system is exatly singular.

To answer the points that you raised:

1. x1-x6 are not causes; they are just indicatiors. Does that change my 
model?

2. Is the size of the dataset going to be a real limitation? How can I take 
care of that?

Would appreciate your reply,

Thanks
Sunil




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Dear Sunil,

There are 7*8/2 = 28 raw moments among the 7 observed variables. Of these, 
6*7/2 = 21 are used for the moments among the 6 fixed-exogenous variables, 
leaving 28 - 21 = 7 df. You model has 11 free parameters. So df for the 
model = 11 - 7 = -4.

Some additional comments:

If you're using raw moments, why isn't there a constant variable in the 
model?

Do you really intend x1 -- x6 to be causes, rather than indicators, of m1 
and m2?

Why are there no normalizing constraints on the latent variables?

Do you really want to fit a model like this to so small a data set?

I hope this helps,
John

John Fox
Department of Sociology
McMaster University
Hamilton, Ontario
Canada L8S 4M4
905-525-9140x23604
http://socserv.mcmaster.ca/jfox