Suppose interest centers on a test of the mean of the first…
Suppose interest centers on a test of the mean of the first group against the average of the means of the other two groups. If the researcher defines a contrast ψ = c1µ1 +c2µ2 + c3µ3 and tests H0 : ψ = 0, the values c1 = 1, c2 = −1, c3 = −1 correspond with a test of the desired hypothesis.
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