Module outline:📋 Module Topics🎯 Student Learning Outcomes

EGN3443 – Probability & Statistics for Engineers

Week 15 / Module 14 – ANOVA

This module introduces Analysis of Variance (ANOVA) as a statistical method for comparing means across three or more groups. Topics progress from foundational concepts and underlying assumptions through F-statistic logic, one-way and multi-factor ANOVA designs, and post-hoc interpretation. Use the resources below to navigate readings, topic details, and assessments.

Module Artifacts — 10 items

Module Topics .json
source file

An outline of the module's topics, spanning ANOVA fundamentals, underlying assumptions, F-statistic logic, and one-way ANOVA, which instructors use to structure and preview the learning sequence for the week.

Text Content .html

A comprehensive reading covering ANOVA concepts including its definition, assumptions, F-statistic derivation, and one-way ANOVA procedures, which learners study as the primary text reference for the module.

Text Content .html

A landing page that consolidates all Module 14 instructional resources — including a PowerPoint, a recorded lecture, and a Google Colab notebook — giving learners a single access point for ANOVA materials.

Topic Detail .html

Introduces ANOVA as a method for comparing means across three or more groups simultaneously, explaining why it is preferable to running multiple t-tests, and serves as a conceptual starting point before learners engage with the mechanics of the technique.

Topic Detail .html

Details the key assumptions that must be met before applying ANOVA — such as normality, homogeneity of variance, and independence — helping learners and instructors verify that data are appropriate for the analysis before proceeding.

Topic Detail .html

Explains the logic behind the F-statistic, showing how ANOVA partitions total variability into between-group and within-group components and uses their ratio to determine whether observed mean differences exceed chance, giving learners the conceptual foundation for interpreting ANOVA results.

Topic Detail .html

Covers the one-way ANOVA procedure — involving a single independent variable — walking learners through the hypotheses, sum-of-squares calculations, ANOVA table construction, and decision rules for testing whether group means differ significantly.

Topic Detail .html

Extends ANOVA to designs with two or more independent variables (two-way ANOVA), explaining main effects and interaction effects so learners can analyze situations where multiple factors simultaneously influence an outcome.

Topic Detail .html

Covers post-hoc tests (e.g., Tukey, Bonferroni) used after a significant omnibus F-test to identify which specific group pairs differ, guiding learners and instructors on how to fully interpret and report ANOVA results.

Quiz .json

A 528-question bank spanning probability, statistics, and inferential concepts such as population vs. sample identification, Venn diagrams, and descriptive vs. inferential statistics, which instructors draw from to build quizzes and assessments throughout the course.

Topics & Learning Outcomes

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