객관식
A researcher is comparing mean cholesterol levels across 4 diet plans (A, B, C, D) in a One-Way ANOVA test. If was rejected and the researcher were to use a Bonferroni Test, how many pairs of comparisons would they do?
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14. ANOVA
Multiple Comparisons: Bonferoni Test
Multiple Choice
For which of the following scenarios would it be most appropriate to run a Bonferroni Test to see which mean(s) are significantly different from the rest?
A
B
C
검증된 단계별 안내1
Step 1: Understand the purpose of the Bonferroni Test. It is a post-hoc test used after an ANOVA when you want to control the overall Type I error rate while making multiple pairwise comparisons between group means.
Step 2: Analyze the box plots to identify scenarios where there are multiple groups with potentially different means. The Bonferroni Test is most appropriate when you suspect that some group means differ significantly from others and you want to pinpoint which ones.
Step 3: Look for the box plot where there is at least one group that appears to have a noticeably different median compared to the others, but the differences are not extremely obvious or consistent across all groups. This is where multiple comparisons are needed to confirm significant differences.
Step 4: The first box plot shows groups with similar medians and overlapping ranges, suggesting no strong differences. The second box plot shows a clear decreasing trend in medians, which might be better suited for trend analysis rather than multiple pairwise comparisons.
Step 5: The third box plot shows one group with a visibly higher median than the others, which are relatively similar. This scenario is ideal for the Bonferroni Test to determine which specific group means differ significantly from the rest.
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