Question

A two-factor experiment data from a factorial experiment consisting of 2 levels of factor A, is...

A two-factor experiment

data from a factorial experiment consisting of 2 levels of factor A, is levels 1 and 2, and 3 levels of factor B, is levels 1, 2, and 3

factor B

level 1 level 2 level 3

level 1 135 90 75

factor A 165 66 93

level 2 125 127 120

95 105 136

Create an ANOVA table! And what can you conclude? α = 0.05
(Use manual calculations and Minitab software)

Math   Statistics-And-Probability   
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Homework Answers

Answer #1
SUMMARY level 1 level 2 level 3 Total
level 1
Count 2 2 2 6
Sum 300 156 168 624
Average 150 78 84 104
Variance 50 288 162 1376.8
level 2
Count 2 2 2 6
Sum 220 232 256 708
Average 110 116 128 118
Variance 450 242 128 231.2
Total
Count 4 4 4
Sum 520 388 424
Average 130 97 106
Variance 700 658 742
ANOVA
Source of Variation SS df MS F P-value F crit
Factor A 588 1 588 2.672727 0.153198 5.987378
Factor B 2328 2 1164 5.290909 0.047376 5.143253
Interaction 4392 2 2196 9.981818 0.012341 5.143253
Error 1320 6 220
Total 8628 11
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