#multiple-comparisons

Question 1: Single choice

An experiment with three treatment groups (14 subjects each) gives a significant one-way ANOVA ( $p = 0.046$ ). Pairwise $t$ -tests with the Bonferroni correction follow, at an overall $\alpha = 0.05$ . The comparison of treatments 1 and 3 gives $p \approx 0.015$ . What is the correct conclusion for this pair?

Significant, because 0.015 is below $0.05/3 \approx 0.0167$ 1
Not significant, because 0.015 is above $0.05/6 \approx 0.0083$ 2
Not significant, because 0.015 is above $0.05/14 \approx 0.0036$ 3
Significant, because 0.015 is below 0.05 and no correction is needed after a significant ANOVA4

#multiple-comparisons

Timed test