Examine the following two-factor analysis of variance table shown to the right. Complete parts a through d. a. Complete the analysis of variance table. Source: Factor A Factor B AB Interaction Error Total 1,291.142 84 (Round to three decimal places as needed.) SS 164.294 df 4 MS 263.408 12 27.742 Source: Factor A Factor B AB Interaction Error Total ... F-Ratio SS 164.294 263.408 1,291.142 df 4 12 84 MS 27.742 F-Ratio
Examine the following two-factor analysis of variance table shown to the right. Complete parts a through d. a. Complete the analysis of variance table. Source: Factor A Factor B AB Interaction Error Total 1,291.142 84 (Round to three decimal places as needed.) SS 164.294 df 4 MS 263.408 12 27.742 Source: Factor A Factor B AB Interaction Error Total ... F-Ratio SS 164.294 263.408 1,291.142 df 4 12 84 MS 27.742 F-Ratio
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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How would one complete this ANOVA table? Thanks in advance, rounded to three decimal places please

Transcribed Image Text:Examine the following two-factor analysis
of variance table shown to the right.
Complete parts a through d.
a. Complete the analysis of variance table.
Source:
Factor A
Factor B
AB Interaction
Error
Total
1,291.142 84
(Round to three decimal places as needed.)
SS
164.294
df
4
MS
263.408 12
27.742
Source:
Factor A
Factor B
AB Interaction
Error
Total
...
F-Ratio
SS
164.294
263.408
1,291.142
df
4
12
84
MS
27.742
F-Ratio
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Follow-up Questions
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Follow-up Question
What are the p-values using the same information from the completed ANOVA table?

Transcribed Image Text:b. Determine if interaction exists between factor A and factor B. Use α = 0.05.
Choose the correct hypotheses below.
A. Ho: HA1HA2 = HB1 HB2
HA: Not all factor A and factor B means are equal
B. Ho: Factors A and B do not interact to affect the mean response
HA: Factors A and B do interact
c. Ho: Factors A and B do interact
HA: Factors A and B do not interact to affect the mean response
Find the test statistic F.
F = 1.829 (Round to three decimal places as needed.)
Find the p-value.
p-value=
(Round to four decimal places as needed.)
Solution
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