Assume that you are conducting an experiment where you impose a change on various treatments (hoping to cause a change in the observed responses) and analyzing the results via an ANOVA study. In that case, why is variation between treatment means good and variation within each treatment bad? O There is no good or bad variation. Variation is, by its nature, always bad. Good variants are helpful; while bad variants are a detriment to society O Variation between treatment means is good, because it is small. Variation within each treatment is bad, because it's big.

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Assume that you are conducting an experiment where you impose a change on various treatments (hoping to cause a change
in the observed responses) and analyzing the results via an ANOVA study. In that case, why is variation between treatment
means good and variation within each treatment bad?
O There is no good or bad variation. Variation is, by its nature, always bad.
Good variants are helpful; while bad variants are a detriment to society
O Variation between treatment means is good, because it is small. Variation within each treatment is bad, because it's big.
O Variation between treatment means is due to some change we imposed or can identify and that is good. Variation within each
treatment is due to pure random effects, which is bad.
O That statement is backward. Variation between treatment means is bad because all means are supposed to be equal in ANOVA.
Variation within each treatment is good, because it provides differences.
Transcribed Image Text:Assume that you are conducting an experiment where you impose a change on various treatments (hoping to cause a change in the observed responses) and analyzing the results via an ANOVA study. In that case, why is variation between treatment means good and variation within each treatment bad? O There is no good or bad variation. Variation is, by its nature, always bad. Good variants are helpful; while bad variants are a detriment to society O Variation between treatment means is good, because it is small. Variation within each treatment is bad, because it's big. O Variation between treatment means is due to some change we imposed or can identify and that is good. Variation within each treatment is due to pure random effects, which is bad. O That statement is backward. Variation between treatment means is bad because all means are supposed to be equal in ANOVA. Variation within each treatment is good, because it provides differences.
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