Question

The calculations for a factorial experiment involving four levels of factor A, three levels of factor...

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: ,STT = 261, SSA=21, SSB=22, SSAB=165

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

The -value for Factor A is - Select your answer -less than .01between .01 and .02between .02 and .05between .05 and .10greater than .10Item 21

What is your conclusion with respect to Factor A?

- Select your answer -Factor A is significantFactor A is not significantItem 22

The -value for Factor B is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 23

What is your conclusion with respect to Factor B?

- Select your answer -Factor B is significantFactor B is not significantItem 24

The p-value for the interaction of factors A and B is - Select your answer -less 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?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

from given data

Source SS df MS F p vlaue
sample 21.00 3 7.00 3.17 0.04
columns 22.00 2 11.00 4.98 0.02
interaction 165.00 6 27.50 12.45 0.00
error 53.00 24 2.21
total 261.00 35
p value for Factor A is between 0.02 and 0.05
Factor A is significant
p value for Factor B is between 0.01 and 0.02
Factor B is significant
p value for the interaction of factors A and B is less than 0.01
interaction of Factors A and B is significant
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