GEE Motivation! Table 2 presents the data from Exercise 9.15 in the textbook (Agresti, 2007), which reports a study with a group of independent school children. The study recorded in three years (1977, 1979 and 1981) relative weight (Ozobese, N=not obese) for each of its subjects. Table 2. responses gender NNN NNO NON NOO ONN ONO OON 000 total Male 119 7 8 3 13 4 11 16 181 Female 129 8 7 9 6 2 7 14 182 total 248 15 15 12 19 6 18 30 363 A data analyst John Smith introduced a time variable T = 1, 2, 3 for years 1977, 1979 and 1981, and let Yit = 0 or 1 if the response of subject i at time t was N or O, X,- = 1 or O for male or female subject, where i = 1, . . . , n = 363 and t = 1, 2, 3. He assumed that all the 3n binary responses {Yit : t : 1, 2, 3; i = 1, . . . , n = 363} were independent and then conducted the logistic regression analysis with the two nominal explanatory variables Gender (X) and Time (T) using three different R functions. (a)(i) Give your critique of the assumption of independent response observations from the same subject. (ii) Describe an alternative analysis with a potentially more adequate assumption on the correlation of the three response observations from each subject. (b) (i) Give your critique of treating T as a nominal variable in the regression analysis of John Smith. (ii) Based on the critique, describe an alternative approach, which is potentially more efficient and and leads to an analysis revealing directly 3 time trend