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