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 = 23, SSB = 26, SSAB = 170. Set up the ANOVA table and test for significance using = .05. Show entries to 2 decimals, if necessary. Round p-value to four decimal places. If your 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 The p-value for Factor A is Selectless than .01between .01 and .02between .02 and .05between .05 and .10greater than .10Item 21 What is your conclusion with respect to Factor A? SelectFactor A is significant factor A is not a significant item 22 The p-value for Factor B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 23 What is your conclusion with respect to Factor B? SelectFactor B is significant factor B is not significant item 24 The p-value for the interaction of factors A and B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 25 What is your conclusion with respect to the interaction of Factors A and B? select the interaction of factors A and B is significant interaction of factors A and B is not significant item 26

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 = 277, SSA = 23, SSB = 26, SSAB = 170.

Set up the ANOVA table and test for significance using = .05. Show entries to 2 decimals, if necessary. Round p-value to four decimal places. If your 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

The p-value for Factor A is Selectless than .01between .01 and .02between .02 and .05between .05 and .10greater than .10Item 21

What is your conclusion with respect to Factor A?
SelectFactor A is significant factor A is not a significant item 22
The p-value for Factor B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 23

What is your conclusion with respect to Factor B?
SelectFactor B is significant factor B is not significant item 24
The p-value for the interaction of factors A and B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 25

What is your conclusion with respect to the interaction of Factors A and B?
select the interaction of factors A and B is significant interaction of factors A and B is not significant item 26

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