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Topic: statistical testing of optimized parameter
Replies: 8   Last Post: May 20, 2012 4:05 PM

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Md. Ikramul Hasan

Posts: 13
Registered: 4/4/12
statistical testing of optimized parameter
Posted: May 17, 2012 5:35 PM
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Hi All,
I have optimized my model?s parameter by minimizing root mean square error (RMSE) using fmincon. Then I have calculated the Hessian matrix using that optimum parameter values and finally I tried to calculate the t-values for testing those optimized parameters.

For Hessian I used John D?Errico?s function (following link)
http://www.mathworks.com/matlabcentral/fileexchange/13490-adaptive-robust-numerical-differentiation
and, t_values = ?parameter./sqrt(diag(inv(hessian)))?
Now, the problem is, the t values are showing unexpected values. I think there is some problem in my procedure.
For calculating ?parameter covariance matrix? I used inverse of the hessian. Is it correct?
Any suggestions would be great!

-Hasan



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