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From |
Feddag Mohand-Larbi <Mohand-Larbi.Feddag@univ-nantes.fr> |

To |
statalist@hsphsun2.harvard.edu |

Subject |
st: How to maximize an approximated likelihood |

Date |
Mon, 08 Apr 2013 10:04:56 +0200 |

Dear Statausers, I am wondering to know how to maximize an approximated likelihood depending on three parameters: the difficulty parameter as matrix, the mean of the latent traits and its variance. The function wrotten in Stata where the approximation is obtained by Gauss-Hermite quadrature is given as follows: qui gen proba=. qui gen x=. forvalues i=1/`nbobs' { local int2=1 local u=RaschDepLoc[`i',1] local v=`diff'[1,1] local int1 "exp(`u'*(x-`v'))/(1+exp(x-`v'))" forvalues j=2/`nbitems' { local t=`diff'[`j',1] local r=RaschDepLoc[`i',`=`j-1''] local s=RaschDepLoc[`i',`j'] local int2 "`int2'*exp(`s'*(x-`t'+`d'*`r'))/(1+exp(x-`t'+`d'*`r'))" } local int="`int1'*`int2'" qui gausshermite `int', mu(`mu') sigma(`sigma') display qui replace proba=r(int) in `i' } gen lik=log(proba)*`nbobs' where nbobs is the number of individuals, nbitems is the number of items, RaschDepLoc is the matrix of data of order (nbobs*nbitems), diff is the vector of difficulties parameters, mu and sigma^2 are the mean and the variance of the latent traits. I don't know how to write this function in order to use ml model lf myfunction (? =?) and ml maximize best Dr Feddag * * For searches and help try: * http://www.stata.com/help.cgi?search * http://www.stata.com/support/faqs/resources/statalist-faq/ * http://www.ats.ucla.edu/stat/stata/

**Follow-Ups**:**Re: st: How to maximize an approximated likelihood***From:*Nick Cox <njcoxstata@gmail.com>

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