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# homework1 - Stat 665(Spring 2011 Kaizar Homework 1 Due by...

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Stat 665 (Spring 2011) Kaizar Homework 1 Due by the beginning of class, Friday April 8 . Aim of Homework : To review concepts of Wald, score and likelihood ratio testing. To review concepts of tests and confidence intervals for binomial proportions. To understand the discreteness of exact tests and intervals. Reading : An Introduction to Categorical Data Analysis, 2nd edition: Chapter 1. Exercises (Use R to complete as appropriate): 40 points total 1. (6 points) Agresti problem 1.8 (use both the score and exact methods – don’t use Wald!) 2. (8 points) Agresti problem 1.12 3. (10 points) I mentioned in class that the discreteness of the Binomial random variable can be problematic for constructing tests and confidence intervals. Suppose you are designing an experiment with sample size 6 so that the number of successful trials ( Y ) can be modeled as having a Bionomial(6, π ) distribution. (a) What are the possible outcomes for this experiment?

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homework1 - Stat 665(Spring 2011 Kaizar Homework 1 Due by...

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