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A factorial experiment involving two levels of factor A and three levels of fact

ID: 3276239 • Letter: A

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 90 135 85 Level1 155 93 Factor A 125 127 130 Level 2 85 105 136 Test for any significant main effects and any interaction. Use = .05. Round Sum of Squares, F value, Mean Square to two decimals, if necessary. Source of Variation Factor A Sum of Squares Degrees of Freedom Mean Square p-value Select Select Factor B Select Select Interaction Select Select Error Total

Explanation / Answer

Two factor ANOVA Factor 2 Means: Level 1 Level 2 Level 3 Level 1 145.0 78.0 89.0 104.0 Factor 1 Level 2 105.0 116.0 133.0 118.0 125.0 97.0 111.0 111.0 2 replications per cell ANOVA table Source SS    df MS F    p-value Factor 1 588.00 1 588.000 2.23 .1857 Factor 2 1,568.00 2 784.000 2.98 .1264 Interaction 4,392.00 2 2,196.000 8.34 .0185 Error 1,580.00 6 263.333 Total 8,128.00 11

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