Please show your work, and how you got the answers Consider a study with a balan

Question

Please show your work, and how you got the answers

Consider a study with a balanced completely randomized design with 5 treatments and a total of 30 experimental units. Suppose that a one-factor ANOVA model is appropriate for analysing these data From the data, we computed: Ja.= 9.7; y5.= 11.7. (a) The following is a partial analysis of variance table. Complete the table to test for the significance of the treatment effects. Use R to compute the p-value. (Hint We will use the pf function df MS p-value source Treatment Error Total 0.60 179.7 Hint: Think in terms of the relationship between df, SS, and MS

Explanation / Answer

k=5 treatments

n=30 observations

DFT = k-1= 4

DFE= n-k = 25

DFT = 29

MSE= 0.60

MSE= SSE/DFE => 0.60 = SSE/ 25 => SSE= 25*0.60= 15

SST =SST-SSE = 179.7 -15 =164.7

MST= SST/DFT = 164.7/ 4 =41.175

F= MST/ MSE = 41.175 / 0.60 = 68.625

P-value:

1-pf(68.625,4,25)
[1] 4.117817e-13

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