Course: Methods in Biostatistics II

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Schedule

For Lectures 1-14, please visit Methods in Biostatistics I (140.651)

Session Topic Activities

15

Hypothesis Testing

1. Introduce hypothesis testing
2. Cover hypothesis testing for a single mean
3. Z and T tests for a single mean
4. Confidence interval equivalences
5. P-values

Lecture

Hypothesis Testing Graphs

Read Rosner Chapt 7.1-7.7

16

Power and sample size and two group tests

1. Power
2. Power for a one sided normal test
3. Power for t-test

Lecture

Hypothesis Testing Review

Read Rosner 8.1-8.8 and 8.10-8.12

17

Power and sample size and two group tests

1. Paired difference hypothesis tests
2. Independent group differences hypothesis tests

Lecture

Hypothesis Testing Review

Read Rosner 8.1-8.8 and 8.10-8.12

18

Tests for binomial proportions

1. Tests for a binomial proportion
2. Score test versus Wald
3. Exact binomial test
4. Tests for differences in binomial proportions
5. Intervals for differences in binomial proportions

Lecture

Read Rosner 7.10

19

Two sample binomial tests, delta method

1. Define relative risk
2. Odds ratio
3. Confidence intervals

Lecture

Read Rosner 10.1, 10.2, 13.1-13.3

20

Two sample binomial tests, delta method

1. Review two sample binomial results
2. Delta method

Lecture

Read Rosner 10.1, 10.2, 13.1-13.3

21

Fisher's exact tests, Chi-squared tests

1. Introduce Fisher's exact test
2. Illustrate Monte Carlo version of test

Lecture

Read Rosner 10.2, 10.3, 10.6-10.9

22

Fisher's exact tests, Chi-squared tests

1. Chi-squared tests for equivalence of two binomial proportions
2. Chi-squared tests for independence, 2 x 2 tables
3. Chi-squared tests for multiple binomial proportions
4. Chi-squared tests for independence, r x c tables
5. Chi-squared tests for goodness of fit

Lecture

Multinomial Distribution Notes

Read Rosner 10.2, 10.3, 10.6-10.9

23

Simpson's pardox, confounding

1. Simpson's paradox
2.Weighting
3. CMH estimate
4. CMH test

Lecture

Read Rosner 13.4 & 13.5

24

Retrospective case-control studies, exact inference for the odds ratio

1. Odds ratios for retrospective studies
2. Odds ratios approximating the prospective RR
3. Exact inference for the odds ratio

Lecture

25

Methods for matched pairs, McNemar's, conditional versus marginal odds ratios

1. Hypothesis tests of marginal homgeneity
2. Estimating marginal risk differences
3. Estimating marginal odds ratios
4. A brief note on the distinction between conditional
and marginal odds ratios

Lecture

Read Rosner 10.4

26

Non-parametric tests, permutation tests

1. Distribution-free tests
2. Sign test
3. Sign rank test
4. Rank sum test
5. Discussion of non-parametric tests

Lecture

27

Inference for Poisson counts

1. Poisson distribution
2. Tests of hypothesis for a single Poisson mean
3. Comparing multiple Poisson means
4. Likelihood equivalence with exponential model

Lecture

28

Multiplicity

1. Familywise error rates
2. Bonferoni procedure
3. Performance of Bonferoni with multiple independent
tests
4. False discovery rate procedure

Lecture