This is excercise 4.12 for reference:4.12At the website www.stat.ufl.edu/~aa/intro-cda/data for the 2nd edition of this book, the MBTI data file cross-classifies a sample of people from the MBTI Step II National Sample on whether they report drinking alcohol frequently and on the four binary scales of the Myers-Briggs personality test: Extroversion/Introversion (E/I), Sensing/iNtuitive (S/N), Thinking/Feeling (T/F) and Judging/Perceiving (J/P). The 16 predictor combinations correspond to the 16 personality types: ESTJ, ESTP, ESFJ, ESFP, ENTJ, ENTP, ENFJ, ENFP, ISTJ, ISTP, ISFJ, ISFP, INTJ, INTP, INFJ, INFP. (e.g., of the 77 people of type ESTJ, 13 reported smoking frequently.) Fit a model using the four scales as predictors of the probability of drinking alcohol frequently.Report the prediction equation, specifying how you set up the indicator variables.Based on the model parameter estimates, explain why the personality type with the highest estimated probability of drinking alcohol is ENTP. 5.5 Exercise 4.12 introduced four scales of the Myers-Briggs personality test.Table 5.6 shows SAS output for fitting a model using the four scales as predictorsof whether a subject drinks alcohol frequently.a. Conduct a model goodness-of-fit test, and interpret. If you were to simplify themodel by removing a predictor, which would you remove? Why?b. Software reports AIC values of 642.1 for the model with the four main effects andthe six interaction terms, 637.5 for the model with only the four binary main effectterms, and 648.8 for the model with no predictors. According to this criterion,which model is preferred? Explain the rational for using AIC.EISNTFJPc. Using the MBTI data file at the website www.stat.ufl.edu/~aa/intro-cda/data, use model-building methods to select a model for this alcoholresponse variable.Table 5.6 SAS output for fitting model to Myers-Briggs personality scales data of Exercise 4.12.CriterionDevianceParameterInterceptCTS (DetU.jEstimate-2.46680.5550-0.42920.6873-0.2022Value11.1491Like-ratio 95%DF11StandardError-2.96170.24290.21700.13140.2340-0.88430.22060.25490.2266-0.6477Conf Limits-2.00780.98430.03531.12190.2426Chi-Square103.106.543.369.710.80

This question seeks to analyze the SAS output of the Myers-Briggs personality test and its four…

Answered: 5.5 the Myers-Briggs personality test.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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This is excercise 4.12 for reference:

4.12

At the website www.stat.ufl.edu/~aa/intro-cda/data for the 2nd edition of this book, the MBTI data file cross-classifies a sample of people from the MBTI Step II National Sample on whether they report drinking alcohol frequently and on the four binary scales of the Myers-Briggs personality test: Extroversion/Introversion (E/I), Sensing/iNtuitive (S/N), Thinking/Feeling (T/F) and Judging/Perceiving (J/P). The 16 predictor combinations correspond to the 16 personality types: ESTJ, ESTP, ESFJ, ESFP, ENTJ, ENTP, ENFJ, ENFP, ISTJ, ISTP, ISFJ, ISFP, INTJ, INTP, INFJ, INFP. (e.g., of the 77 people of type ESTJ, 13 reported smoking frequently.) Fit a model using the four scales as predictors of the probability of drinking alcohol frequently.
Report the prediction equation, specifying how you set up the indicator variables.
Based on the model parameter estimates, explain why the personality type with the highest estimated probability of drinking alcohol is ENTP.