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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

Näytä lisää: statistics problem, solve statistics, solve probability, problem statistics, problem set analysis, problem of statistics, problem of probability, problem in statistics, problem and statistics, probability problem, probability how to solve, probability help, number function, l.s. power, how to solve probability, how to solve for probability, how to solve a probability problem, how to solution, how to do a probability problem, function number

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( 4 arvostelua ) London, Australia

Projektin tunnus: #6441172

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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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aberkanefouad

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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Vaibhavwadhera

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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