How to get the standard deviation of parameter curve nonlinear
Hello, I tried to understand (as here in the forum) how to obtain the standard deviation for the parameters of a nonlinear curve (Lev - Mar). The most interesting I found was on the Matrix of Covariance. Here the most reliable information came from DSPGuy (Message 8). But in the example VI it first takes the square root of the diagonal elements of the covariance matrix, and then multiplies these values with the RMSE (using the 'appropriateness' VI) to get the standard deviation of the parameters. In the thread, out of time, that it has been said that one has first to multiply the diagonal elements with the MSE directly from the Lev-Mar-VI.
And another question is always there for me. That came in the previous mentioned thread:
What is the DOF?
a: N_MeasPoints - N_FittingParameters
b: N_MeasPoints - (N_FittitngParameters - 1).
If I understand the help for the 'appropriateness' VI a: must also be right, as the DSPGuy States. But I always thought that b: should suit like Peter Vijn2 said in the previously mentioned thread.
Best thanks in advance
Wolfgang
Adding to the Christian post.
1. If our documentation is incorrect, so let's fix it.
2. I checked our source code for the CLN in the goodness of Fit.vi implements the DOF as our States to help. They agree. As the Christian States, if a different definition is appropriate for a given application, then you have the option to provide this value for the DOF. I would add that the results that we return to the example related to the original message of Wolfgang tally with the results that the NIST certifies this problem to 8 decimal places.
3 the form Christian mentioned, old implementation of Lev - Mar had an entry called "gap". We have mapped to a weight using weight = (1/STD dev.) ^ 2 Christian to map the weight gap is therefore exactly what we used before.
-Jim
Tags: NI Software
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