Consider the table: SS DF MS F Among Treatments 4763.8 1190.95 4.05 Error Total
ID: 3324061 • Letter: C
Question
Consider the table:
SS DF MS F
Among Treatments 4763.8 1190.95 4.05
Error
Total 7996.59 15
Calculate the sum of squares of experimental error. Round to 2 decimal places.
Calculate the degrees of freedom among treatments
Calculate the degrees of freedom of experimental error.
Calculate the mean square of the experimental error. Round to 2 decimal places.
What is the sum of square of the sample means about the grand mean? Round to 2 decimal places.
What is the variation of the individual measurements about their respective means? Round to 2 decimal places.
What is the critical value of F at the o.05 level?
Is F significant at 0.05? Yes or No
Explanation / Answer
Calculate the sum of squares of experimental error.
SSE = 7996.59 - 4763.8 = 3232.79
Calculate the degrees of freedom among treatments
dF(Treatments) = 4763.8/1190.95 = 4
Calculate the degrees of freedom of experimental error.
dF(error) = 15 - 4 = 11
Calculate the mean square of the experimental error.
MSE = SSE/ dF(error) = 3232.79/11 = 293.89
What is the sum of square of the sample means about the grand mean?
SS (Sample means about the grand mean) = SS(Treatments) = 4763.80
What is the variation of the individual measurements about their respective means?
SS(error) = 1190.95
What is the critical value of F at the o.05 level?
F(critical) = F(0.05, 4,11) = 3.3567
Is F significant at 0.05? Yes or No
Yes F is significanta at 0.05