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# solutions4 - Stat 665(Spring 2011 Kaizar Solutions 4...

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Stat 665 (Spring 2011) Kaizar Solutions 4 Exercises 40 points total 1. Toothpaste experiment: (a) The outcome of interest is “cavity 2”, the number of cavities after 2 years of treatment. (b) Any of the variables gender, age, fluoride, and floss might be moderating variables if they somehow change the relationship between the toothpaste and the number of cavities after 2 years. For example, if a patient uses mouthwash (“fluoride”), then the toothpaste may be less effective since it would have less work to do. (c) Cavity 1 is a potential mediating variable. Any reduction of cavities after 1 year of treatment is clearly a part of the overall reduction of cavities in 2 years. This variable comes “between” the treatment and the outcome of interest. 2. Negative Binomial Regression: (a) Random component: Negative binomial(1, μ ) (b) Linear component: α + βX i (c) Link: log 3. Agresti problem 3.3 (a) Since the model is a “linear” probability model, the predition equation is: ˆ π = 0 . 00255 + 0 . 00109 * Alcohol . The intercept is the probability of a malformation if the mother drank

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solutions4 - Stat 665(Spring 2011 Kaizar Solutions 4...

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