Statistics Lectures - 23: Introduction To ANOVA & One-Way ANOVA
A series of free Statistics Lectures with lessons, examples & solutions in videos.
This is page twenty-three of the series of free video lessons, “Statistics Lectures”. These lectures covers an introduction to ANOVA - analysis of variance, one-way anova, effect size for one-way anova, post-hoc tests for one-way ANOVA.
Related Pages
21: Various Types Of Samples t-Test
22: More Samples t-Test
24: Repeated Measures ANOVA & Factorial ANOVA
25: Chi-Square Test
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Statistics - Lecture 70: Introduction to Analysis of Variance (ANOVA)
ANOVA is a statistical method used to compare the means of two or more groups.
Types of ANOVA:
- Repeated-Measures ANOVA - One factor with at least two levels, levels are dependent.
- Factorial ANOVA - Two or more factors (each of which with at least two levels), levels can be either independent, dependent, or both (mixed). Assumptions in ANOVA:
- Normality of Sampling Distribution of Mass - The distribution of sample means is normally distributed.
- Independence of Errors - Errors between cases are independent of one another
- Absence of Outliers - Outlying scores have been removed from the data set.
Statistics - Lecture 71: One-Way ANOVA
One factor with at least two levels, levels are independent.
- Define Null and Alternative Hypotheses
- State Alpha
- Calculate Degrees of Freedom
- State Decision Rule
- Calculate Test Statistic
- State Results
- State Conclusion
Statistics - Lecture 72: Effect Size For One-Way ANOVA
The most common measure of effect size for a One-Way ANOVA is Eta-squared.
Statistics - Lecture 73: Post-Hoc Tests for One-Way ANOVA
Example:
Researchers want to test a new anti-anxiety medication. They split participants into three conditions
(0mg, 50mg, and 100mg), then ask them to rate their anxiety level on a scale of 1-10. Are there any
differences between the three conditions using alpha = 0.05?
Statistics Lecture Series - Table Of Contents
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