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

question 26

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 }$
$\begin{array}{l}\begin{array} { c c c c } \hline && \text { Level 1 } & \text { Level 2 } & \text { Level 3 } \\\hline &\text { Level 1 } & 67 & 74 & 82 \\&& 71 & 73 & 76 \\&& 62 & 60 & 87\\\\ & \text { Level 2 } & 77 & 69 & 84 \\\text { Factor A }&& 81 & 75 & 80 \\ && 65 & 77 & 90 \\\\&\text { Level 3 } & 59 & 70 & 72 \\&& 67 & 58 & 68 \\&& 62 & 66 & 76\end{array}\end{array}$

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Definitions:

Product Alterations

Modifications made to a product to make it more attractive or suitable for the target market.

Attitudinal Loyalty

A customer's psychological commitment or attachment to a brand, often reflected in repeat purchases or preferences.

Psychographic

A classification criterion based on people's lifestyles, activities, interests, opinions, and values to understand consumer behavior better.

Behavioral

Relating to the actions and reactions of individuals or groups in response to stimuli.