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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: ST = 282, SSA = 27, SSB = 21, SSAB = 175. Set up the ANOVA table. (Round your values for mean squares and two decimal places, and your p-values to three decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean F P-value Square 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 > 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 sa=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 =

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: ST = 282, SSA = 27, SSB = 21, SSAB = 175. Set up the ANOVA table. (Round your values for mean squares and two decimal places, and your p-values to three decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean F P-value Square 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 > 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 sa=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 =

MATLAB: An Introduction with Applications
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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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 = 282, SSA = 27, SSB = 21, SSAB = 175. 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 Sum Degrees of Freedom Mean F p-value of Variation of Squares Square 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 s a = 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 sa = 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 = 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.
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 = 282, SSA = 27, SSB = 21, SSAB = 175. 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 Sum Degrees of Freedom Mean F p-value of Variation of Squares Square 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 s a = 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 sa = 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 = 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.
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