In an experiment, $\bar{Y}_{1}$ =10, $\bar{Y}_{2}$ =200, and $\bar{Y}_{3}$ =4000. Which pairwise contrast will necessarily be significant?
A) $\mu$ 2 -$\mu$ 1
B) $\mu$ 3 -$\mu$ 1
C) $\mu$ 3 -$\mu$ 2
D) None of the contrasts will necessarily be significant.

Question

In an experiment, $\bar{Y}_{1}$ =10, $\bar{Y}_{2}$ =200, and $\bar{Y}_{3}$ =4000. Which pairwise contrast will necessarily be significant?
A) $\mu$ 2 -$\mu$ 1 
B) $\mu$ 3 -$\mu$ 1 
C) $\mu$ 3 -$\mu$ 2 
D) None of the contrasts will necessarily be significant.

Quizplus · Accepted Answer

Given the means provided ($\bar{Y}_{1}$ =10, $\bar{Y}_{2}$ =200, and $\bar{Y}_{3}$ =4000), without additional information such as the variability within groups, sample sizes, or the specific statistical test being used, it is not possible to definitively state that any pairwise contrast will necessarily be significant. Significance depends on the variability of the data and the sample size, not just the difference in means.

In an Experiment Yˉ1\bar{Y}_{1}Yˉ1​ =10 Yˉ2\bar{Y}_{2}Yˉ2​ =200, And Yˉ3\bar{Y}_{3}Yˉ3​ =4000 Which Pairwise Contrast Will Necessarily Be Significant? A)

In an Experiment $\bar{Y}_{1}$ =10 $\bar{Y}_{2}$ =200, And $\bar{Y}_{3}$ =4000 Which Pairwise Contrast Will Necessarily Be Significant?
A)