2. In a three factor study, the mean responses Pijk are as follows: k = 1 k = 2 i=1 i=2 i = 3 j=1_j=2_j=1_j=2 130 138 140 144 126 130 134 136 122 125 122 131 (a) Find a₁, a2, and a3. (b) Find 32 and ₁. (c) Find (aß)12, (ay)21, and (By)12. (d) Find (aß)111 and (ay)322- (e) Prepare AB plots of the mean responses #ijk as discussed in class, i.e. a separate AB-interaction plot for each level of Factor C. What do these plots show about factor main effects and interactions?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 20E
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2. In a three factor study, the mean responses pijk are as follows:
k = 1
k = 2
i=1
i = 2
i=3
j=1_j=2_j=1_j=2
138 140 144
130
126 130
134 136
122
125
122
131
(a) Find a₁, a2, and a3.
(b) Find 32 and 7₁.
(c) Find (aß)12, (ay)21, and (By)12.
(d) Find (aß)111 and (ay)322-
(e) Prepare AB plots of the mean responses pijk as discussed in class, i.e. a
separate AB-interaction plot for each level of Factor C. What do these plots
show about factor main effects and interactions?
Transcribed Image Text:2. In a three factor study, the mean responses pijk are as follows: k = 1 k = 2 i=1 i = 2 i=3 j=1_j=2_j=1_j=2 138 140 144 130 126 130 134 136 122 125 122 131 (a) Find a₁, a2, and a3. (b) Find 32 and 7₁. (c) Find (aß)12, (ay)21, and (By)12. (d) Find (aß)111 and (ay)322- (e) Prepare AB plots of the mean responses pijk as discussed in class, i.e. a separate AB-interaction plot for each level of Factor C. What do these plots show about factor main effects and interactions?
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