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 = 274, SSA = 26, SSB = 21, SSAB = 172. 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 Factor A Factor B Interaction Error Total Sum of Squares Degrees of Freedom Mean Square Test for any significant main effects and any interaction effect. Use α = 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 = F State your conclusion about factor A. O Because the p-value ≤ α = 0.05, factor A is 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. O Because the p-value > a = 0.05, factor A is not significant. p-value
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 = 274, SSA = 26, SSB = 21, SSAB = 172. 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 Factor A Factor B Interaction Error Total Sum of Squares Degrees of Freedom Mean Square Test for any significant main effects and any interaction effect. Use α = 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 = F State your conclusion about factor A. O Because the p-value ≤ α = 0.05, factor A is 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. O Because the p-value > a = 0.05, factor A is not significant. p-value
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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Given that, The calculations for a factorial experiment involving four levels (p = 4) of factor A, three levels (q = 3) of factor B, and three replications ( m = 3) resulted in the following data: SST = 274, SSA = 26, SSB = 21, SSAB = 172.
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