Practice Midterm
Pubh 7401: Fundamentals of Biostatistical Inference
This is a CLOSED BOOK exam. You are allowed to use your 1 page 8.5 x 11
in piece of paper with notes. You may also use the class notes from the course
website. You are allowed Wolfram Al

Outline
Review of Public Health Studies
9/8/2011
Review of Public Health Studies
Outline
Outline
1
Measures of disease occurrence
2
Measures of Effect
3
Study Designs
Review of Public Health Studies
Measures of disease occurrence
Measures of Effect
Study

Outline
Math Boot Camp 1
9/6/2011
Math Boot Camp
Outline
Outline
1
Algebra Review
2
In Class Examples
Math Boot Camp
Algebra Review
In Class Examples
Numbers
Manipulating numbers
Functions
e and ln
Outline
1
Algebra Review
2
In Class Examples
Math Boot Ca

PUBH 7401:
Fundamentals of Biostatistical Inference
Instructor:
Rich MacLehose, PhD
Course Specifics
When: 12:20-2:15, Tuesday and Thursday
Where: Mayo D-199
Office hours: probably easier to meet by appointment,
after class or talk over email
Email: macl0

Project
Due Dec 1, 2011
This is an individual project, you may ask me questions but do not consult your
fellow students. You may consult YOUR BOOK (Devore and Berk) for this
project, but DO NOT CONSULT OTHER BOOKS or look on the internet for
answers. You

Outline
Maximum Likelihood Estimation
November 8, 2011
Maximum Likelihood Estimation
Outline
Outline
1
Maximum Likelihood Estimation - introduction
2
Properties of MLEs
3
Delta Method
Maximum Likelihood Estimation
Maximum Likelihood Estimation - introduct

Outline
Outline
1
Random Variable
Random Variables
Random Variable
Denitions
Expectation
Variance
More properties of R.V.s
Outline
1
Random Variable
Random Variables
Random Variable
Denitions
Expectation
Variance
More properties of R.V.s
Motivation
In the

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Conditional Probability
Sept 21, 2010
Conditional Probability
Outline
Outline
1
Conditional Probability
2
Bayes Theorem
3
Independence
Conditional Probability
Conditional Probability
Bayes Theorem
Independence
Outline
1
Conditional Probability
2
B

Outline
Probability
Sept 13, 2011
Probability
Outline
Outline
1
Introduction to Probability
2
Probability Theory
Probability
Introduction to Probability
Probability Theory
Interpretations
Sample Spaces, Events
Outline
1
Introduction to Probability
2
Proba

Homework
Due Nov 29, 2011
iid
Assume X1 . . . Xn Exponential(). Use this from of the exponential distribution:
x
1
f ( x) = e
1. Find the MLE for
2. Find the asymptotic variance of the MLE, V ()
3. Is biased or unbiased?
4. What is the MSE of
5. What i

Homework 5
Due Nov 8, 2011
Ch 6: 20 ; Ch 7: 4, 15; Ch8: 34, 46
1. Let X P oisson( ). Find the bias, variance and MSE of X as well as
Xi
N 1 . Using the CLT, what is the asymptotic distribution of X .
2. Assume X N (, 2 ). Use the CLT to derive asymptotic

Homework 4
Due Oct 18, 2011
Be aware that clarity and showing your work are important. Getting the right
answer is less important than how you get to that answer and grading will reect that. Similarly, your results, especially when I ask for graphics, sho

Homework 3
Due Oct 11, 2011
Be aware that clarity and showing your work are important. Getting the right
answer is less important than how you get to that answer and grading will reect that. Similarly, your results, especially when I ask for graphics, sho

Homework 1
Due Sept 20, 2010
Be aware that clarity and showing your work are important. Getting the right
answer is less important than how you get to that answer and grading will reect that.
1. Assume r0 is the risk in the unexposed group. Show whether R

Outline
Sampling Distributions and the Central Limit
Theorem
October 25,2011
Sampling and CLT
Outline
Outline
1
Introduction
2
Sampling Distributions related to the Normal
3
Law of Large Numbers
4
Central Limit Theorem
Sampling and CLT
Introduction
Sampli