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## Course: Methods in Biostatistics II

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# Lecture Materials

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

### »Lecture Number 15: Hypothesis Testing (294 KB)

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

Also see Hypothesis Testing Graphs

### »Lecture Number 16: Power and sample size and two group tests ( 228 KB)

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

Also see Hypothesis Testing Review Notes

### »Lecture Number 17: Power and sample size and two group tests (311 KB)

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

Also see Hypothesis Testing Review Notes

### »Lecture Number 18: Tests for binomial proportions (909 KB)

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 Number 19: Two sample binomial tests, delta method (264 KB)

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

### »Lecture Number 20: Two sample binomial tests, delta method (182 KB)

1. Review two sample binomial results
2. Delta method

### »Lecture Number 21: Fisher's exact tests, Chi-squared tests (238 KB)

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

### »Lecture Number 22: Fisher's exact tests, Chi-squared tests (351 KB)

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

Also see Multinomial Distribution Notes

2. Weighting
3. CMH estimate
4. CMH test

### »Lecture Number 24: Retrospective case-control studies, exact inference for the odds ratio (254 KB)

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

### »Lecture Number 25: Methods for matched pairs, McNemar's, conditional versus marginal odds ratios (321 KB)

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 Number 26: Non-parametric tests, permutation tests (365 KB)

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

### »Lecture Number 27: Inference for Poisson counts PDF, 354 KB; Movie, 70 MB

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 (224 KB)

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