The calculations for a factorial experiment involving two levels of A, three lev

Question

The calculations for a factorial experiment involving two levels of A, three levels of B and three replications resulted in the following data.
SStotal=120345 SSA=20805 SSB=376 SSAB=92721
Set up an AOV table
Use your completed AOV table to test, at the 5% significance level, and determine whether factors A and B interact. The calculations for a factorial experiment involving two levels of A, three levels of B and three replications resulted in the following data.
SStotal=120345 SSA=20805 SSB=376 SSAB=92721
Set up an AOV table
Use your completed AOV table to test, at the 5% significance level, and determine whether factors A and B interact. The calculations for a factorial experiment involving two levels of A, three levels of B and three replications resulted in the following data.
SStotal=120345 SSA=20805 SSB=376 SSAB=92721
Set up an AOV table
Use your completed AOV table to test, at the 5% significance level, and determine whether factors A and B interact.

Explanation / Answer

from above given data below is AOV table:

as p value for interaction between A and B is less then 0.05; we reject null hypotheesis and conclude that   factors A and B interact.

soucre SS df MS F p value A 20805 1 20805.000 38.749 0.0000 B 376 2 188.000 0.350 0.7115 Interaction 92721 2 46360.500 86.346 0.0000 error 6443 12 536.917 total 120345 17

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