## Course: Methods in Biostatistics II

# 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-valuesAlso 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-testAlso 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 testsAlso 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 fitAlso see Multinomial Distribution Notes

## » Lecture Number 23: Simpson's pardox, confounding (285 KB)

1. Simpson's paradox

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