The following table summarizes a portion of the results for a
two-way analysis of variance experiment with no
interaction.
Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and "F" to 3 decimal places.)
source of Variation SS df MS F p-value
rows 34.63 2 MSB= factor B= 0.042
columns 146.60 3 MSA= Factor A= 0.003
error 18.56 6 MSE=
total 199.79 11
We are given
SSB = 34.63 , SSA = 146.60 , SSE = 18.56 , SST = 199.79
d.f B = 2 , d.f A = 3 , d.f Error = 6 , d.f total = 11
MSB = SSB /d.f B = 34.63/2 = 17.315
MSA = SSA/ df A = 146.60/3 = 48.8667
MS error = SS error/ df error = 18.56/6 = 3.0933
FB = MSB/MS error = 17.315/3.0933 = 5.598
FB = 5.598
FA = MSA/ MS error = 48.8667/3.0933 = 15.798
FA = 15.798
The following table summarizes a portion of the results for a two-way analysis of variance experiment...
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