teps-correctly-describes-the-procedure-you-should-report-in-your-methods-section

Question

After an ANOVA rejects $H sub 0$ , you plan to run Tukey pairwise comparisons manually. Which sequence of steps correctly describes the procedure you should report in your methods section?

Accepted Answer

Extract MSE from ANOVA (within-group variance), compute $H sub 0$ to find the appropriate $q$ critical value for the chosen alpha and $k$ , calculate each $q = \frac{∣ {m e a n}_{i} - {m e a n}_{j} ∣}{\sqrt{\frac{M S E}{n}}}$ (for equal $n$ ), compare each $q$ to $q_{c r i t}$ , and report which pairs are significant along with their $q$ statistics.

Answer

If the software does not provide $H sub 0$ -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.

Answer

Use the ANOVA MSE to compute $H sub 0$ -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.

Answer

Compute pairwise independent $H sub 0$ -tests for all pairs at $F$ , then apply Tukey's $q$ to the smallest $t$ -score only and report that value as the definitive pairwise conclusion.

After an ANOVA rejects H0H_0, you plan to run Tukey pairwise comparisons manually. Which sequence of steps correctly describes the procedure you should report in your methods section?

After an ANOVA rejects $H sub 0$ , you plan to run Tukey pairwise comparisons manually. Which sequence of steps correctly describes the procedure you should report in your methods section?