To compute power, you make use of the noncentral F distribution. The formula (O’Brien and Lohr 1984) is given as follows:
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F is distributed as the noncentral and is the 1  α quantile of the F distribution with ν1 and ν2 degrees of freedom.

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n is the number per group.

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r is the number of groups.

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μ is the overall mean.

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σ2 is estimated by the mean squared error (MSE).
