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a) find the value for (a) through (g). b) estimate the variance of the error ?^2

ID: 3152958 • Letter: A

Question


a) find the value for (a) through (g). b) estimate the variance of the error ?^2 c) find the critical variance of F-statistic for Factor A at the significance level ?= 0.05 d) find the critical value of F-statistic for block at the significance level ?= 0.05 e) estimate the P-value of the F-statistic for Factor A using a range f) Estimate the P-value of the F-statistic for Block using a range g) Test the effect of Factor A at the significance level ?= 0.05, explain your conclusion h) is there any block effect in this experiment? Justify your answer

Explanation / Answer

Source

df

SS

MS

F

Factro A

2

0.22

0.11

1.467

Block

5

10.19

2.038

27.173

Residual

10

0.75

0.075

Total

17

11.16

variance of the error = 0.075

c) find the critical variance of F-statistic for Factor A at the significance level = 0.05

F(2,10) =4.103

d) find the critical value of F-statistic for block at the significance level = 0.05

F(5,10) =3.326

e) estimate the P-value of the F-statistic for Factor A using a range

P= 0.2763

f) Estimate the P-value of the F-statistic for Block using a range

P=0.0000

g) Test the effect of Factor A at the significance level = 0.05, explain your conclusion

calculated P=0.2763 > 0.05, factor A is not significant.

h) is there any block effect in this experiment? Justify your answer

calculated P=0.0000< 0.05, Block effect is significant

Source

df

SS

MS

F

Factro A

2

0.22

0.11

1.467

Block

5

10.19

2.038

27.173

Residual

10

0.75

0.075

Total

17

11.16

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