Question

In a one-way ANOVA model with k = 3 groups and 4 observations per group:

(a) Use the F-statistic in Model Reduction Method 2 to derive a statistic for testing whether the average of the means of the first two groups is the same for the mean of the third group. That is, create the F-statistic for testing H₀ : (μ₁+μ₂)/2 = μ₃. (Hint: Don’t fit a model with a y-intercept. It makes everything easier.)

(b) Where μ₁ˆ = 5.6, μ₂ˆ = 7.9, μ₃ˆ = 6.1, and SSE = 12.8, test your hypothesis. Use α = 0.05

Answer 1

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