[R] Testing a linear hypothesis after maximum likelihood
Spencer Graves
spencer.graves at pdf.com
Thu Dec 29 13:04:05 CET 2005
Why can't you use a likelihood ratio? I would write two slightly
different functions, the second of which would use the linear constraint
to eliminate one of the coefficients. Then I'd refer 2*log(likelihood
ratio) to chi-square(1). If I had some question about the chi-square
approximation to the distribution of that 2*log(likelihood ratio)
statistic, I'm use some kind of Monte Carlo, e.g., MCMC.
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hope this helps.
spencer graves
Peter Muhlberger wrote:
> I'd like to be able to test linear hypotheses after setting up and running a
> model using optim or perhaps nlm. One hypothesis I need to test are that
> the average of several coefficients is less than zero, so I don't believe I
> can use the likelihood ratio test.
>
> I can't seem to find a provision anywhere for testing linear combinations of
> coefficients after max. likelihood.
>
> Cheers & happy holidays,
>
> Peter
>
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