# How to maximise a likelihood function in the form of a Multinomial Logit Model

NOTE: must specific solution in SAS

Hi There,

I hope someone can help me with this . I have a problem which can best be explained by the following:

I randomly select 50 to 60 mice (from a population of 1000) and race them across the room. Each mouse is marked by a number between 1 to 1000. I record the race winner's ID and its weight. I repeat this race for each minute, for 100 000 minutes; and the results are compiled to form my data.

I would like now to assess the explanatory power of weight to the probability of winning and towards this end I would like to estimate a coefficient (Beta) that will maximise a likelihood function in the form of:

L = sum_operator(from t=1 to T) log[ exp(V*) / sum_operator(from j=1 to J)[exp(V)] ],

where V represents a linear regression model (V = Beta*Weight), V* represents the winner, t represent minutes and j represents the number of mice for the particular race.

Is there a set of SAS code that can do this? Other then brute-force, I'm hoping there's an elegant code to solve the above problem.

Thanks

Taidot: SAS, Tilastoanalyysi, Tilastotiede

Tietoa työnantajasta:
( 4 arvostelua ) London, Australia

Projektin tunnus: #6441172

## Myönnetty käyttäjälle:

nikhilgupta84

Hi, I am Nikhil Gupta. I am having total 9 years of extensive experience into Analytics. I rarely bid on this website. However, I am planning to be active on this website. I worked on tools like Excel, SAS, R & SPSS. G Lisää

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## 5 freelancers are bidding on average \$32 for this job

Hello, Thank you for your invitation, I am a Statistician and computer programmer involved in United Nations projects in Geneva. Please when you need this job to be done? Hear from you soon Best Fouad

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mahjabin12345

Hi There, I am a statistician and SAS programmer. I have a base version of SAS 9.1.3. I am able to write the required function for you. If you want to see my work sample let me know. Thanks, Kazi

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Hi I have taken a look on the your project details which you have stated and i will like to bid for the same. I have 8 + years of experience and i have track record of completing which project i take in stipula Lisää

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chermi

Hi, I'm an old SAS guy with 10 years SAS coding behind me. I'm new here, apologies for my poor profile and lack of bla-bla about my skills. Here is what I did with SAS in the last years: www.risksolutions.hu. Lisää

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