Factoran and postive definite matrix

Charles

2017 1 11

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I wish to perform some factor analysis on my portfolio I have a matrix of returns and wish to use the factoran function to derive loading, and specificVar as per code below

[Loadings,specificVar,T,stats] = factoran(rsV_new,2,'rotate','none');

My validation matrix is 100x100. I have tested it to ensure it is positive definite using chol, and I get a value of 0 for p. This confirms it is positive definite

[R,p] = chol(rsV_new);

However when I use the the following I get an error message suggesting my input is not positive definite.

[Loadings,specificVar,T,stats] = factoran(rsV_new,2,'rotate','none');

Error using factoran (line 162) The data X must have a covariance matrix that is positive definite.

I have looked at the the eigen values and some are small, other are zero and some are even negative. Is this the issue? Does factoran not like my eigen values?

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John Chilleri 2017-1-12

编辑：John Chilleri 2017-1-12

rsV_new does not need to be PD. The documentation ( Factoran Analysis ) has an example provided using the data set carbig, in which the X matrix is not PD. I think your input matrix might be incorrectly formed, as it requires specific dimensions according to the documentation.

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