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Multiple Comparisons: Tukey Test
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Multiple Comparisons: Tukey Test
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14. ANOVA / Multiple Comparisons: Tukey Test / Problem 5
Problem 5
After an ANOVA rejects H0, you plan to run Tukey pairwise comparisons manually. Which sequence of steps correctly describes the procedure you should report in your methods section?
A
If the software does not provide p-values for Tukey, report only the ANOVA F statistic and conclude which pairs differ based on visual inspection of means without performing any standardized comparisons.
B
Use the ANOVA MSE to compute p-values directly for each pair by dividing the mean differences by MSE and looking up F-table values; skip any reference to the studentized range since p-values are always available.
C
Compute pairwise independent t-tests for all pairs at alpha = 0.05, then apply Tukey's q to the smallest t-score only and report that value as the definitive pairwise conclusion.
D
Extract MSE from ANOVA (within-group variance), compute df = N − k to find the appropriate q critical value for the chosen alpha and k, calculate each q = |mean_i − mean_j| / sqrt(MSE / n) (for equal n), compare each q to qcrit, and report which pairs are significant along with their q statistics.
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