# Re: st: mlogit: predicted probabilities with confidence limits

 From "Austin Nichols" To statalist@hsphsun2.harvard.edu Subject Re: st: mlogit: predicted probabilities with confidence limits Date Wed, 26 Sep 2007 10:49:08 -0400

```I have a feeling -spostado- can do this (net from
http://www.indiana.edu/~jslsoc/stata/).  If it does, it might do a lot
of calculations something like this for every observation:

sysuse auto, clear
mlogit rep78 wei, baseout(5)
predict p1-p5
loc s "1"
forv i=1/4 {
loc s="`s' +exp([`i']_b[wei]*2930+[`i']_b[_cons])"
}
nlcom 1/(`s')
di "LB: " el(r(b),1,1)-1.96*sqrt(el(r(V),1,1))
di "UB: " el(r(b),1,1)+1.96*sqrt(el(r(V),1,1))
li wei p5 in 1

On 9/26/07, Dedman, Dan <D.Dedman@ljmu.ac.uk> wrote:
> I run a multinomial logistic regression model, where the outcome variable has three levels. From this I can obtain predicted probabilities for each level of the outcome. I would like to put confidence intervals around these probabilities, but I am not sure how to do it. I can obtain confidence intervals for the linear prediction (using the -stdp- option with -predict-), but I am not sure how to incorporate this information into the equations which relate the linear prediction to the probability:
>
> P(y=1) =         1/(1+exp(beta2*x)+exp(beta3*x))
> P(y=2) = exp(beta2*x)/(1+exp(beta2*x)+exp(beta3*x))
> P(y=3) = exp(beta3*x)/(1+exp(beta2*x)+exp(beta3*x))
>
> (where beta2*x is the linear prediction for outcome level 2, etc)
>
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```