CH5330 STATISTICS · LECTURE 01

Explore: When does ANOVA reject H₀?

Three groups · Reproducible synthetic observations · No account required

Observed measurements

F(2,33)

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p-value

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η²

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ANOVA table

Source	SS	df	MS

Failure to reject H₀ does not demonstrate equality or equivalence. Standard one-way F inference assumes independent normal errors and common variance.

Experiment controls

Mean separation Noise scale Observations / group Significance threshold

Adjusting parameters preserves the underlying sample. “New random sample” changes the observations explicitly. Cases A and B reproduce the lecture's values.