By the end of this module, you should be able to:
- Describe how Type I errors and Type II errors can occur and why there is a trade-off between them,
- Summarize the relationships among significance level, Type I errors, and P-values,
- Define power and describe its role in statistical tests,
- Explain various ways elements of statistical tests can be adjusted to increase power,
- Identify common mistakes related to inappropriate application and interpretation of statistical tests and how to avoid them,
- Discuss the role of sample size in statistical testing,
- Appropriately compare a confidence interval to a corresponding statistical test,
- Critique the appropriate application of statistical tests based on the context in which the data were collected and how the test (or tests) was (were) carried out.
Learning resources:
- Data Used in this Module
- Power and Type I and Type II Errors (video)
- Power for Testing a Proportion (interactive app)
- Some General Advice About Statistical Tests (video)
- Connection Between Confidence Intervals and Testing (video)