What do within-group variation and between-group variation mean in this clip?
Total variation in the observed scores is split into two parts: within-group variation, which is caused by differences among individuals inside the same group, and between-group variation, which is associated with differences among the groups themselves.
Conditions
- The data are organized into multiple groups.
- One is analyzing variation in a measured response across those groups.
Reasoning, step by step
- Observe the total spread of all scores in the dataset.
- Identify the spread of values inside each individual group (within-group variation).
- Identify the differences in the overall locations or centers of the groups (between-group variation).
- Understand that total variation is the sum of these two components.
Example
Ovals around each column illustrate within-group spread; arrows between columns illustrate between-group spread.
Common misconceptions
- Assuming that large overall variation alone implies a treatment effect, without considering the balance between within-group and between-group variation.
Watch the explanation
YouTubeAnalysis of Variance (ANOVA)
0:50 – 1:10Watch this moment ↗
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