Question

A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data. Factor B Level 1 Level 2 Level 3 135 90 75 Level 1 165 93 Factor A 135 127 120 Level 2 85 105 136 Test for any significant main effects and any interaction. Use α-.05. Round Sum of Squares, F value, Mean Square to two decimals, if necessary. Source of Variation Factor A Factor B Interaction Error Total Sum of Degrees of Mean Square F Squares Freedom p-value Conclusion

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Answer #1

Using Anova  Two-Factor With Replication in Excel we get output as :

ANOVA
Source of Variation SS df MS F P-value F crit
Sample 588 1 588 1.4 0.281476 5.987378
Columns 2328 2 1164 2.771429 0.140447 5.143253
Interaction 4392 2 2196 5.228571 0.048461 5.143253
Within 2520 6 420
Total 9828 11

So from above output

Value Conluse NJot CactorA588 on o-lo 2328 2 0-025 a 25 20 126 Total ak 28

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