A series of free Statistics Lectures with lessons, examples & solutions in videos.
This is page twenty-four of the series of free video lessons, “Statistics Lectures”. These lectures continue the discussion on ANOVA - analysis of variance, covering repeated-measures ANOVA, factorial ANOVA with two independent factors, two dependent factors and two mixed factors.
Related Pages
22: More Samples t-Test
23: Introduction To ANOVA & One-Way ANOVA
25: Chi-Square Test
26: Mann-Whitney, Wilcoxon, Kruskal-Wallis & Friedman Tests
Jump to Table of Contents
One factor with at least two levels, levels are dependent.
By saying that the levels are dependent, it means that they share variability in some way.
The Repeated-Measures ANOVA is almost identical to the One-Way ANOVA, except for one additiona calculation
we must perform to account for this shared variability.
Example:
Researchers want to test a new anti-anxiety medication. They measure the anxiety of 7 participants three times:
once before taking the medication, once a week after taking the medication, and once two weeks after taking
the medication. Anxiety is rated on a scale of 1-10, with 10 being “high anxiety” and 1 being “low anxiety”.
Are there any differences between the three conditions using alpha = 0.05?
Two factors with at least two levels each, levels are independent.
The Factorial ANOVA (with independent factors) is like the One-Way ANOVA, except that now you’re dealing
with more than one independent variable.
Example:
Researchers want to compare the anxiety levels of six individuals at two marital states: after they have
been divorced, then again after they have gotten married. Anxiety is measured as three times: Week 1, Week 2,
and Week 3. Anxiety is rated on a scale of 1-10, with 10 being “high anxiety” and 1 being “low anxiety”.
Use alpha = 0.05 to conduct your analysis.
Example:
Two factors with at least two levels each.
One factor is independent, while the other factor is dependent.
The Factorial ANOVA (with two mixed factors) is a combination of One-Way ANOVA and Repeated-Measures ANOVA.
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.