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 = 269, SSA = 20, SSB = 21, SSAB = 175. Set up the ANOVA table and test for significance using a = 0.05. Show entries to 2 decimals, if necessary.If the answer is zero, enter "0". Use unrounded intermediate values for calculation.SourceSumDegreesMeanof Variationof Squaresof FreedomSquareFvaluep-valueFactor A206.673.03Factor B2110.54.77Interaction1756.29.1713.26Error53242.20Total26935The p-value for Factor A isSelect your answerWhat is your conclusion with respect to Factor A?Select your answer-The p-value for Factor BisSelect your answer-What is your conclusion with respect to Factor B7Select your answer-The p-value for the interaction of factors A and B is Select your answerWhat is your conclusion with respect to the interaction of Factors A and B?-Select your answer

Given: 4 levels of factor A, a=4 3 levels of factor B, b=3 SST = 269 SSA = 20 SSB = 21 SSAB = 175 α…

Answered: The calculations for a factorial…

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…
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