The data below was collected from a two-factor ANOVA experiment, factor A has 4 levels andfactor B has 3 levels:Factor B121604850Factor A25350484644494514352 Are the effects of factor A effective at 5% level of significance? How?

State the hypotheses Let Treatment denotes the Factor A Let Blocks denotes the Factor B

Answered: The data below was collected from a…

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 = 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…
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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…
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The data below was collected from a two-factor ANOVA experiment, factor A has 4 levels and factor B has 3 levels: Factor B 1 2 3 1 60 48 50 Factor A 53 50 48 46 44 49 4 51 43 52