MATH 4397/6397 - Fall 2009
Biostatistics
Welcome to Biostatistics!
This website will contain most of the important information about our course.
Course Info. View syllabus.
Week 1. We are covering parts of Rosner, Ch. 3.1-3.5, 4.1-4.3 and 5.1-5.2.
Students who were absent during this week may want to consult
notes for week 1 to see
a summary of the material.
Week 2. Still covering above sections in Rosner and, in addition, 4.4, 4.5.
Homework Set 1,
due Thursday, Sep 3, 2009,
and Solution.
Week 3. Completing 4.4, 4.5, and 4.9. A Calculus-Lab for anyone who wants to
brush up a little will be held on Tuesday, Sep 8, 1:30pm. Either be at my office
(PGH 604) before 1:30 or come to PGH 646 directly.
Homework Set 2,
due Thursday, Sep 10, 2009,
and Solution.
Week 4. Conditional probability, Bayes's rule, diagnostic testing, Ch. 3.6-3.9. Likelihood, Bernoulli experiments and binomial distribution, Ch 4.8, 4.9, 5.1-5.6.
Homework Set 3,
due Thursday, Sep 17, 2009, and Solution.
For this homework and in the future, you may find the notes on R by Dr. Peters, Basics,
Graphics,
Statistics Functions and Regression, etc
helpful.
Week 5. Maximum likelihood estimates for binomial and normal random variables. Law of large numbers and
central limit theorem, Ch 5.1-5.6, 6.1, 6.2, 6.5.
Homework Set 4,
due Thursday, Sep 24, 2009,
and Solution.
Week 6. Confidence intervals for the mean and variance of a normal r.v., chi-square distribution,
Gosset's t-distribution. Confidence intervals for binomial
distribution: Wald interval, Agresti-Coull interval.
Homework Set 5,
due Thursday, Oct 1, 2009, and Solution
Week 7. Confidence interval for binomials distributions, continued. Independent group comparisons
with t-distribution confidence interval, equal and unequal variances [Ch. 8.5, 8.7].
Special session on set-theoretic problems and on computing with
random variables or their densities (early homework), Thursday 11am-noon, PGH 646.
Homework Set 6,
due Thursday, Oct 8, 2009,
and Solution.
Week 8. Displaying data: Histogram, stem and leaf plot, box plot, dot charts, qq-plots. Review.
Homework Set 7,
due Wednesday, Oct 14, 2009, at 2:30pm in 604 PGH,
and Solution.
The Midterm will be held on Tuesday, Oct 20, in class. Bring a pen or pencil, a scientific calculator,
and your student ID. A Practice exam
could help you make sure you are well prepared. The collection of
review topics might be hepful, too. Midterm exam
and solutions.
Week 9 and 10. Hypothesis testing [Ch. 7.1-7.7]. Z and T scores and associated tests. One and two-side alternatives.
P-value and its interpretation. Power.
Homework Set 8,
due Thursday, Nov 5, 2009. For students
enrolled in Math 6397, Project 1
is part of the assignment. Solution
for Set 8 and Project 1.
Week 11. Independent group tests with unequal variance [Ch. 8.6, 8.7]. F-test.
Hypothesis testing for binomial proportions [Ch. 7.10]. Wilson's score
and interval. Comparing two binomial proportions [Ch. 10.1, 10.2, 13.1-13.3].
Fisher's exact test [Ch. 10.3, 10.6-10.9].
Homework Set 9,
due Thursday, Nov 12, 2009, and Solution.
Homework Set 10,
due Thursday, Nov 19, 2009. For students
enrolled in Math 6397, Project 2
is part of the assignment. Solution
for Set 10 and Project 2.
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