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 = 263, SSA = 23, SSB = 22,SSAB = 160. 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 intermediatevalues for calculation.Sourceof VariationFactor AFactor BInteractionErrorTotalSumof Squares00000The p-value for Factor A isDegreesof Freedom00000- Select your answer -What is your conclusion with respect to Factor A?+- Select your answer -The p-value for Factor B is - Select your answer -What is your conclusion with respect to Factor B?◆- Select your answer -The p-value for the interaction of factors A and B is◆◆MeanSquare0000- Select your answer -What is your conclusion with respect to the interaction of Factors A and B?Select your answer -+F value◆p-value

Two way ANOVA:ANOVA (Analysis of Variance) is a statistical test used to analyze the difference…

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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In a single-factor ANÓVA if the value of MSreatments = 50 and MSE = 10, the value of the test statistic is: %3D O 5 O 15 O 20 O 25
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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…
A senlor accounting major at MIidsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before recelving a raise in salary? Using the following ANOVA table, Is there a difference in the mean number of months before recelving a ralse among the four firms? Use the 0.01 level of significance. Analysis of Variance Source df SS MS Factor 27.17 9.06 5.06 0.015 Error 13 23.22 1.79 Total 16 50.39 a. What are the null and alternate hypotheses? Ho: H b. What Is the test statistic? (Round your answer to 2 decimal places.) The test statistic is c. What Is the p-value? (Round your answer to 3 declmal places.) p-value
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(a) Using the information above, part of the ANOVA table is: Source of variation Sum of squares Region I error II Find the values of (round off to two decimal points) (1) I (11) II

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