Analysis of Variance (ANOVA)

Start with an overview

The ANOVA mind maps offer different ways into the topic. One outlines the basics, including differences among means and the F ratio. Another sets out independent and within-subjects designs, alongside one-way, factorial and mixed designs. It also distinguishes model variability from residual variability.

Start with the basics map and note the terms you want to understand. Then look at the design map to see how its categories relate to the descriptions in the first map. Both are part of this collection, so you can move between them as you study.

Follow the maps with practice

After looking at the F ratio on the basics map, try Workshop 12 Q's. It asks what determines the F ratio, what a larger ratio shows and why ANOVA might be used instead of a t-test. The workshop questions quiz also asks about the ratio of between-groups to within-groups variance.

Use the maps alongside these questions: find the relevant terms on a map, attempt a question, and return to the map to check how the ideas fit together. For a different kind of practice, RDA Seminar Q's and practice questions include questions about arranging data for a fully repeated measures ANOVA.

Use the other formats

The flashcard deck three asks what ANOVA and variance are, what ANOVA compares and where differences in variance come from. It can give you short prompts to use after studying the maps. Another flashcard deck introduces ANOVA alongside t-tests and their assumptions.

For more on research design, the Advanced Statistics note discusses repeated measures and independent measures, as well as types of error. This ANOVA page is a section of Statistical Inference in Statistics and probability. Use the collection to study the topic within that unit, then choose a quiz or flashcard deck to practice.