Consider the following output from a Cumulative Logit model where X is the person's age and Y 1 if the person went to the movies less than 5 times during the year 2 went between 5 and 10 times 3 went more than 10 times (4 marks each) (a) Why was the Cumulative Logit used instead of the Multinomial Logit (b) Based on the output, was the correct model used (c) Why are there 2 intercept estimates and only 1 slope estimate (d) Are any of the coefficients significant (e) Provide an interpretation of the coefficients that are significant Score Test for the Proportional Odds Assumption Chi Square DF Pr ChiSq 1 2813 0 2577 Analysis of Maximum Likelihood Estimates Standard Wald Parameter DF Estimate Error Chi Square Pr ChiSq Exp(Est) Intercept 3 1 1 1597 0 7713 2 2607 0 1327 3 189 Intercept 2 1 3 1191 0 8290 14 1559 0 0002 22 625 X 1 0 0916 0 0257 12 6987 0 0004 0 912

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Question: Consider the following output from a Cumulative Logit model where X is the person's age and Y: 1 - if the person went to the

Consider the following output from a Cumulative Logit model where X is the person's age and Y: 1 - if the person went to the movies less than 5 times during the year; 2 - went between 5 and 10 times; 3 - went more than 10 times (4 marks each):

(a) Why was the Cumulative Logit used instead of the Multinomial Logit?

(b) Based on the output, was the correct model used?

(d) Are any of the coefficients significant?

(e) Provide an interpretation of the coefficients that are significant

Consider the following output from a Cumulative Logit model where X is

Score Test for the Proportional Odds Assumption Chi-Square DF Pr > ChiSq 1.2813 0.2577 Analysis of Maximum Likelihood Estimates Standard Wald Parameter DF Estimate Error Chi-Square Pr > ChiSq Exp(Est) Intercept 3 1 1.1597 0.7713 2.2607 0.1327 3.189 Intercept 2 1 3.1191 0.8290 14.1559 0.0002 22.625 X 1 -0.0916 0.0257 12.6987 0.0004 0.912

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