The calculations for a factorial experiment involving four levels of factor A, t
ID: 3367168 • Letter: T
Question
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: Using this data.
SST = 285, SSA = 23, SSB = 26, SSAB = 180.
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
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 significantFactor A is not significantItem 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 significantFactor B is not significantItem 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?
Explanation / Answer
completing above table:
p-value for Factor A is between .02 and .05
Factor A is significant
p-value for Factor B is between .01 and .025
Factor B is significant
The p-value for the interaction of factors A and B is less than .01
interaction of Factors A and B is significant
Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Factor A need p-value 23 3 7.67 3.29 0.0379 Factor B need p-value 26 2 13.00 5.57 0.0103 Interaction 180 6 30.00 12.86 0.0000 Error 56 24 2.33 Total 285 35Related Questions
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