Modules

Overview and Presumed Prerequisites

Below is a brief summary and the presumed prerequisite modules for each module. For additional details see:
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

Data Collection (optional)
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

Probability: Events (optional)
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

Confidence Intervals
Confidence intervals for means and large sample proportions; the t-distribution.
Prerequisite modules:
• Summarizing Data: One Variable
• Sampling Distributions

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.
Prerequisite modules:
• Summarizing Data: Relationships Between Variables
• Confidence Intervals
• The Process of Statistical Tests

Non-Parametric Methods (optional)
The sign test.
Prerequisite modules:
• The Process of Statistical Tests

Simple Linear Regression (optional)
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