[SciPy-User] [SciPy-user] Covariance matrix
Charles R Harris
Mon Feb 13 10:18:48 CST 2012
On Mon, Feb 13, 2012 at 8:56 AM, <email@example.com> wrote:
> On Sat, Feb 11, 2012 at 7:39 PM, Kevin Gullikson
> <firstname.lastname@example.org> wrote:
> > Use full_output=True when you call leastq, and you will get a matrix
> > other things). If you multiply that matrix by the standard deviation of
> > residuals, it will be the covariance matrix.
> As Charles pointed out, multiply by the error variance not the
> standard deviation. Docstring is wrong in this.
Even more precisely, multiply by ||err||^2/(n - dof), since it is possible
that the error has an offset unless the model can perfectly fit a constant.
If this actually makes a difference, the model is inadequate, but the
variance estimate might be useful if you are using something like the
Akaike information criterion to choose the number of parameters.
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