At the website www.stat.ufl.edu/~aa/intro-cda/data for the second edition of this book, the MBTI data file cross-classifies the MBTI Step II National Sample on 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).

Fit the loglinear model of homogeneous association and conduct a goodness-of-fit test. Based on the fit, show that (i) the estimated conditional association is strongest between the S/N and J/P scales, (ii) there is not strong evidence of conditional association between the E/I and T/F scale or between the E/I and J/P scales.