Please solve the following problems. Many thanks! Course: Categorical Data Analysis

In a survey study, 2,276 students are asked whether they had ever used alcohol (A), cigarettes (C), or marijuana (M) in their final year of high school in a non-urban area near Dayton, Ohio. The fitted values for several loglinear models are shown in Table 10.6 from the lecture slides 11 (refer to Page 25 and Page 26 of lecture slides 11). (a). Use AIC and BIC to select the best model based on the information given in Table 3. Model (A,C,M) (AC,M) (AM,C) (CM,A) (AM,CM) (AC, AM) (AC,CM) (AC,AM,CM) G2 1286.0 843.8 939.6 534.2 187.8 497.4 92.0 0.4 df 4 3 3 3 2 2 2 1 Table 3: Model Selection. (b). Write down the loglinear model you identified in item (a). Also show clearly how can you derive the corresponding logit model, regarding that whether they had ever used cigarettes (C) as the response variable. In a survey study, 2,276 students are asked whether they had ever used alcohol (A), cigarettes (C), or marijuana (M) in their final year of high school in a non-urban area near Dayton, Ohio. The fitted values for several loglinear models are shown in Table 10.6 from the lecture slides 11 (refer to Page 25 and Page 26 of lecture slides 11). (a). Use AIC and BIC to select the best model based on the information given in Table 3. Model (A,C,M) (AC,M) (AM,C) (CM,A) (AM,CM) (AC, AM) (AC,CM) (AC,AM,CM) G2 1286.0 843.8 939.6 534.2 187.8 497.4 92.0 0.4 df 4 3 3 3 2 2 2 1 Table 3: Model Selection. (b). Write down the loglinear model you identified in item (a). Also show clearly how can you derive the corresponding logit model, regarding that whether they had ever used cigarettes (C) as the response variable