CAS Exam MAS-I Spring 2018, Question 28

Study guide: Exam MAS-I

You are given the following information:

• A statistician uses two models to predict the probability of success, \pi, of a binomial random variable.
• One of the models uses a logistic link function and the other uses a probit link function.
• There is one predictor variable, X, and an intercept in each model.
• Both models happen to produce same coefficient estimates \hat\beta_0 = 0.02 and \hat\beta_1 = 0.3.
• You are interested in the predicted probabilities of success at x = 4.

Calculate the absolute difference in the predicted values from the two models at x = 4.

• A) Less than 0.1
• B) At least 0.1, but less than 0.2
• C) At least 0.2, but less than 0.3
• D) At least 0.3, but less than 0.4
• E) At least 0.4

Answer this question and see the worked solution

Concepts tested

• Generalized Linear Model
• Link Function
• Normal Distribution

More questions from this set

• CAS Exam MAS-I Spring 2018, Question 27
• CAS Exam MAS-I Spring 2018, Question 29