In an experiment, $\bar{Y}_{1}$ =10, $\bar{Y}_{2}$ =20, and $\bar{Y}_{3}$ =40. Tukey HSD shows that $\mu$ 2 -$\mu$ 1 is a significant contrast. What will you find out about $\mu$ 3 -$\mu$ 1 and $\mu$ 3 -$\mu$ 2 if the same procedure and same$\alpha$ level are used?
A) Only $\mu$ 3 -$\mu$ 1 is significant.
B) Only $\mu$ 3 -$\mu$ 2 is significant.
C) Both contrasts are significant.
D) None of the contrasts are necessarily significant.

Question

Quizplus · Accepted Answer

Since $\mu$S1U1B12S1U1B0-$\mu$S1U1B11S1U1B0 is significant, $\mu$S1U1B13S1U1B0-$\mu$S1U1B11S1U1B0 and $\mu$S1U1B13S1U1B0-$\mu$S1U1B12S1U1B0 must also be significant.

In an Experiment Yˉ1\bar{Y}_{1}Yˉ1​ =10 Yˉ2\bar{Y}_{2}Yˉ2​ =20, And Yˉ3\bar{Y}_{3}Yˉ3​ =40 Tukey HSD Shows That

In an Experiment $\bar{Y}_{1}$ =10 $\bar{Y}_{2}$ =20, And $\bar{Y}_{3}$ =40 Tukey HSD Shows That