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One-way ANOVA Inference for one-way ANOVA - page 9 / 41

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Testing hypotheses in one-way ANOVA

We have I independent SRSs, from I populations or treatments.

The ith population has a normal distribution with unknown mean µi.

All I populations have the same standard deviation σ, unknown.

The ANOVA F statistic tests:

When H0 is true, F has the F distribution with I − 1 (numerator) and N − I (denominator) degrees of freedom.

H0: = = … = I

Ha: not all the i are equal.

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