Multicategory (Polychotomous) Logit Model For Nominal Responses
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Alligators Food Source Analysis
The following table displays primary food choice for a sample of alligators, classified by length ( 2 meters, > 2 meters) and by the lake in Florida in which they were caught.
Primary Food Choice Lake Size Fish Invertebrate Reptile Bird Other Hancock 2 23 4 2 2 8 > 2 7 0 1 3 5 Oklawaha 2 5 11 1 0 3 > 2 13 8 6 1 0 Trafford 2 5 11 2 1 5 > 2 8 7 6 3 5 George 2 16 19 1 2 3 > 2 17 1 0 1 3 1. Fit a model to describe effects of length and lake on primary food choice and report the prediction equations.
2. Use the model to estimate the probability that the primary food choice is “Fish” for each length range in Lake George. (Show the equation with the estimates for the parameters in the question. And, check the answer from the software to see your answer is close to the result from the software.)
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