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One-way ANOVA Inference for one-way ANOVA - page 39 / 41

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Power computations

ANOVA power is affected by

The significance level

The sample sizes and number of groups being compared

The differences between group means µi

The guessed population standard deviation

You need to decide what alternative Ha you would consider important, detect statistically for the means µi, and to guess the common standard deviation σ (from similar studies or preliminary work).

The power computations then require calculating a non-centrality paramenter λ, which follows the F distribution with DFG and DFE degrees of freedom to arrive at the power of the test.

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