A Two-Way Analysis of Variance Is to Be Performed Using $\quad$

Essay

A two-way analysis of variance is to be performed using the data below. Assume that the data come frompopulations that are normally distributed with the same variance. If there is a significant difference in themeans for the three levels of factor A, use Tukeyʹs test to determine which pairwise means differ using afamilywise error rate of α = 0.05. If there is a significant difference in the means for the three levels of factor B,use Tukeyʹs test to determine which pairwise means differ using a familywise error rate of α = 0.05. $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$$\text { Factor B }$
$\begin{array}{l}\begin{array} { c c c c } \hline && \text { Level 1 } & \text { Level 2 } & \text { Level 3 } \\\hline &\text { Level 1 } & 67 & 74 & 82 \\&& 71 & 73 & 76 \\&& 62 & 60 & 87\\\\ & \text { Level 2 } & 77 & 69 & 84 \\\text { Factor A }&& 81 & 75 & 80 \\ && 65 & 77 & 90 \\\\&\text { Level 3 } & 59 & 70 & 72 \\&& 67 & 58 & 68 \\&& 62 & 66 & 76\end{array}\end{array}$