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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 Spring '10
 Staff
 Binomial, Normal Distribution, Probability theory, Binomial distribution, Y3, Wald, large sample approximation

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