Modules
Detailed lists of the topics covered in each module
See each module for its learning outcomes.
Summary of modules and presumed prerequisites:
Summarizing Data: One Variable
Applying and interpreting appropriate summary statistics and plots for a single categorical or quantitative variable.
Prerequisite modules:
- none
Summarizing Data: Relationships Between Variables
Applying and interpreting appropriate summary statistics and plots to summarize the relationship between two (or more) categorical variables, two quantitative variables, or a categorical variable and a quantitative variable. Prerequisite modules:
- Summarizing Data: One Variable
Probability: Events
Introduction to probability on events including addition and multiplication rules, independence, conditional probability, and Bayes’ rule.
Prerequisite modules:
- none
Probability: Random Variables
The Binomial and Normal distributions; expectation and variance for discrete random variables.
Prerequisite modules:
- none
Sampling Distributions
Sampling distributions for means and large sample sampling distributions for proportions; the Central Limit Theorem.
Prerequisite modules:
- Probability: Random Variables
Data Collection
Identifying the role of bias and randomization in data collection and their effects on the conclusions that can be made; the fundamentals of sampling and experimental design.
Prerequisite modules:
- none
Confidence Intervals Part 1
Introduction to confidence intervals; confidence intervals for large sample proportions.
Prerequisite modules:
- Sampling Distributions
Confidence Intervals Part 2
Confidence intervals for means; the t-distribution; coverage and robustness.
Prerequisite modules:
- Summarizing Data: One Variable
- Sampling Distributions
- Confidence Intervals Part 1
The Process of Statistical Tests
Tests for means and large sample tests for proportions.
Prerequisite modules:
- Summarizing Data: One Variable
- Sampling Distributions
- Confidence Intervals
The Effective Use of Statistical Tests
Type I and II errors, power, use and abuse of statistical tests, the relationship between two-sided confidence intervals and statistical tests.
Prerequisite modules:
- The Process of Statistical Tests
Comparing Two Groups
Tests and confidence intervals for means and proportions (large samples) from two independent samples and matched pairs. The sign test.
Prerequisite modules:
- Summarizing Data: Relationships Between Variables
- Confidence Intervals
- The Process of Statistical Tests
Simple Linear Regression
The method of least squares, interpretation of and inference for the slope, model diagnostics, log transformations in regression.
Prerequisite modules:
- Summarizing Data: Relationships Between Variables
- Confidence Intervals
- The Process of Statistical Tests