ignmentThe 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 = 28,SSAB = 160. Set up the ANOVA table and test for significance using a = 0.05. Show entries to 2decimals, if necessary. If the answer is zero, enter "0". Use unrounded intermediate values forcalculation.Sourceof VariationFactor AFactor BInteractionErrorTotalSumof SquaresDegreesof Freedom274The p-value for Factor A is - Select your answeswer-MeanSquareWhat is your conclusion with respect to Factor A?- Select your answer -The p-value for Factor B is-Select your answerWhat is your conclusion with respect to Factor B?- Select your answer -The p-value for the interaction of factors A and B is-Select your answer -What is your conclusion with respect to the interaction of Factors A and B?- Select your answer -F value p-valuex

The question is about ANOVA.Given :No. of levels of factor A ( a ) = 4No. of levels of factor B ( b…

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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2. Interpret this data.
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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…
In intaglio printing, a design or figure is carved beneath the surface of hard metal or stone. Suppose that an experiment is designed to compare differences in mean surface hardness of steel plates used in intaglio printing (measured in indentation numbers), based on two different surface conditions-untreated and treated by lightly polishing with emery paper. In the experiment, 40 steel plates are randomly assigned-20 that are untreated, and 20 that are treated. The results of the experiment are in the “Intaglio” data in Chapter 10_HW_Data.xls. Assuming that the population variances from both conditions are equal, is there evidence of a difference in the mean surface hardness between untreated and treated steel plates? (use α = 0.05) Determine the p-value in (a) and interpret its meaning. In addition to equal variances, what other assumption is necessary in (a)? Repeat Problem (a), assuming that the population variances from untreated and treated steel plates are not…
If SSBetween = 225.31 and there are four groups in the study with 10 cases per group, MSBetween = :
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=277 , SSA=25 , SSB=22 , SSAB=175 . Set up the ANOVA table and test for significance using a.05 . Show entries to 2 decimals, if necessary. If the answer is zero enter “0”. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Factor A Factor B Interaction Error Total
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