Table 5.15 refers to results of a case-control study about effects of cigarette smoking and coffee drinking on myocardial infarction (MI) for a sample of men under 55 years of age.

a. Fit a logit model, treating coffee drinking and cigarette smoking as quali- tative factors. Interpret effects, and conduct likelihood-ratio tests of those effects.

b. Fit another model, treating the ordinal predictors as quantitative by assigning category scores. Interpret, and conduct tests of the predictor effects.

c. Use goodness-of-fit statistics to check the model fits in

(a) and (b). Conduct residual analyses to describe lack of fit. Test whether there is a significant difference in the fits of the models that treat the predictors as nominal and ordinal. Interpret.

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Table 5.15 Cigarettes per Day 0 1-24 25-34 35 Cups Coffee per Day Cases Controls Cases Controls Cases Controls Cases Controls 0 66 123 30 52 15 1-2 141 179 59 45 53 3-4 113 106 63 65 55 5 129 80 102 58 118 2264 12 36 13 69 25 16 119 30 44 373 85 Source: L. Rosenberg et al., Am. J. Epidemiol., 128: 570-578 (1988).