![]() Therefore, Scheffé provides \(\alpha\) level protection against rejecting the null hypothesis when it is true, regardless of how many contrasts of the means are tested. ![]() If the F-test rejects the null hypothesis at level \(\alpha\), then there exists at least one contrast which would be rejected using the Scheffé procedure at level \(\alpha\). Scheffé's method for investigating all possible contrasts of the means corresponds exactly to the F-test in the following sense.
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