The observations shown in the accompanying table were drawn from a randomized bl

Question

The observations shown in the accompanying table were drawn from a randomized block design with no interaction. Use Table 4 picture Click here for the Excel Data File Factor A Xjfor Factor B 1.750 8.750 12.500 x = 7.667 actor B 4 13 7.667 10 12 7.667 14 7.333 Xi for Factor A 8.000 a. Calculate SST, SSA, SSB, and SSE. Round your SS answers to 3 decimal places and other answers except"df" to 2 decimal places.) SST SSA SSB SSE b. Calculate MSA, MSB, and MSE. (Round your answers to 2 decimal places.) MSE Construct an ANOVA table. (Round your SS answers to 3 decimal places and other answers except C. "df" to 2 decimal places.) ANOVA Source of Variation Fcrit at 1% Columns Error Total d. At the 1% significance level, do the levels of Factor B differ? Yes ?No e. At the 1% significance level, do the levels of Factor A differ? O No

Explanation / Answer

General Linear Model: response versus factor A, factor B

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
factor A 3 0.667 0.222 0.08 0.966
factor B 2 238.167 119.083 45.13 0.000
Error 6 15.833 2.639
Total 11 254.667

d] At the 1% significance level, NO, the level of factor B differ.

e] At the 1% significance level, Yes, the level of factor A differ.

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