The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST - 281, SSA - 28, SSB - 22, SSAB - 177. Set up the ANOVA table. (Round your values for mean squares and F to two decimal places, and your p-values to three decimal places.) Source of Variation Sum of Squares egrees Mean Square F p-value Factor A Factor B Interaction Error Total
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST - 281, SSA - 28, SSB - 22, SSAB - 177. Set up the ANOVA table. (Round your values for mean squares and F to two decimal places, and your p-values to three decimal places.) Source of Variation Sum of Squares egrees Mean Square F p-value Factor A Factor B Interaction Error Total
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Find the value of the test statistic for factor B. (Round your answer to two decimal places.)
Find the p-value for factor B. (Round your answer to three decimal places.)
p-value =
State your conclusion about factor B.
O Because the p-value s a = 0.05, factor B is not significant.
O Because the p-value > a = 0.05, factor B is significant.
O Because the p-value > a = 0.05, factor B is not significant.
O Because the p-value s a = 0.05, factor B is significant.
Find the value of the test statistic for the interaction between factors A and B. (Round your answer to two decimal places.)
Find the p-value for the interaction between factors A and B. (Round your answer to three decimal places.)
p-value =
State your conclusion about the interaction between factors A and B.
O Because the p-value > a = 0.05, the interaction between factors A and B is not significant.
O Because the p-value > a = 0.05, the interaction between factors A and B is significant.
O Because the p-value s a = 0.05, the interaction between factors A and B is not significant.
O Because the p-value sa = 0.05, the interaction between factors A and B is significant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a30a794-b23e-4be2-8beb-66f95d2d8c88%2Fcad54364-abfb-4733-bae5-75e6403c63b6%2F5sqj8ns_processed.png&w=3840&q=75)
Transcribed Image Text:Find the value of the test statistic for factor B. (Round your answer to two decimal places.)
Find the p-value for factor B. (Round your answer to three decimal places.)
p-value =
State your conclusion about factor B.
O Because the p-value s a = 0.05, factor B is not significant.
O Because the p-value > a = 0.05, factor B is significant.
O Because the p-value > a = 0.05, factor B is not significant.
O Because the p-value s a = 0.05, factor B is significant.
Find the value of the test statistic for the interaction between factors A and B. (Round your answer to two decimal places.)
Find the p-value for the interaction between factors A and B. (Round your answer to three decimal places.)
p-value =
State your conclusion about the interaction between factors A and B.
O Because the p-value > a = 0.05, the interaction between factors A and B is not significant.
O Because the p-value > a = 0.05, the interaction between factors A and B is significant.
O Because the p-value s a = 0.05, the interaction between factors A and B is not significant.
O Because the p-value sa = 0.05, the interaction between factors A and B is significant.
![The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 281, SSA = 28, SSB = 22, SSAB = 177. Set up the ANOVA table. (Round your values for mean squares and F to two decimal places, and your p-values to three decimal
places.)
Mean
Square
Source
Sum
Degrees
of Freedom
F
p-value
of Variation
of Squares
Factor A
Factor B
Interaction
Error
Total
Test for any significant main effects and any interaction effect. Use a = 0.05.
Find the value of the test statistic for factor A. (Round your answer to two decimal places.)
Find the p-value for factor A. (Round your answer to three decimal places.)
p-value =
State your conclusion about factor A.
O Because the p-value sa = 0.05, factor A is significant.
O Because the p-value s a = 0.05, factor A is not significant.
O Because the p-value > a = 0.05, factor A is significant.
O Because the p-value > a = 0.05, factor A is not significant.
Find the value of the test statistic for factor B. (Round your answer to two decimal places.)
Find the p-value for factor B. (Round your answer to three decimal places.)
p-value =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a30a794-b23e-4be2-8beb-66f95d2d8c88%2Fcad54364-abfb-4733-bae5-75e6403c63b6%2Fa268ert_processed.png&w=3840&q=75)
Transcribed Image Text:The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 281, SSA = 28, SSB = 22, SSAB = 177. Set up the ANOVA table. (Round your values for mean squares and F to two decimal places, and your p-values to three decimal
places.)
Mean
Square
Source
Sum
Degrees
of Freedom
F
p-value
of Variation
of Squares
Factor A
Factor B
Interaction
Error
Total
Test for any significant main effects and any interaction effect. Use a = 0.05.
Find the value of the test statistic for factor A. (Round your answer to two decimal places.)
Find the p-value for factor A. (Round your answer to three decimal places.)
p-value =
State your conclusion about factor A.
O Because the p-value sa = 0.05, factor A is significant.
O Because the p-value s a = 0.05, factor A is not significant.
O Because the p-value > a = 0.05, factor A is significant.
O Because the p-value > a = 0.05, factor A is not significant.
Find the value of the test statistic for factor B. (Round your answer to two decimal places.)
Find the p-value for factor B. (Round your answer to three decimal places.)
p-value =
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