Topics: Probability theory. Independence and conditional probability.
You should be able to:
Understand the definition of conditional probability.
Understand the law of total probability
Understand Bayes' Rule
Understand various public health applications of probability theory
Understand sensitivity, specificity, and the predictive value of a
September 26, 2001
Topics: Probability theory. Binomial distribution. Expectation. Population
variance. Cumulative distribution function.
You should be able to:
Understand how to compute the number of permutations of K distinguishable
Understand how to compute the number of ways to choose K objects out of
N distinguishable objects.
Understand the binomial distribution.
Understand the definition of expectation.
Understand the relation between expectation and sample mean.
Understand that the expectation of the binomial distribution is Np,
where N is the number of trials and p is the success probability per trial.
Understand how the binomial is a model of sampling from a large population,
or of sampling with replacement.
Understand the concept of population variance.
Understand the concept of cumulative distribution function.
October 3, 2001
Topics: Statistical inference. Estimating a population proportion using the
relative frequency. Hypothesis testing in general. Fisher's Exact Test.
The Chi-square Test of
Homogeneity in a R by C table. The Chi-square test of independence.
October 10, 2001
Topics: Statistical inference. The sample variance again. The standard
error of a sample mean. The normal distribution. The Z-test to compare
a sample mean to a putative pre-selected population mean.
The Z-test for a single proportion.
October 17, 2001
Topics: Statistical inference. The one-sample T-test to compare a sample
mean to a constant. The paired-sample T-test.
October 24, 2001
Topics: Statistical inference. Pooled variance estimators.
The two-sample T-test. One-way analysis of variance (beginning).
October 31, 2001
Topics: Statistical inference. One-way analysis of variance. The
within-mean-square. The between-mean-square. The F-test.
November 7, 2001
Topics: Statistical inference. Linear regression. The regression mean
square. The residual mean square. The T-test for the regression
coefficient. The F-test of regression.