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Use the accompanying partially completed two-way ANOVA summary table to complete

ID: 3358521 • Letter: U

Question

Use the accompanying partially completed two-way ANOVA summary table to complete parts a through e below.

a) Complete the two-way ANOVA table below.

Source

Sum of Squares               Squares

Degrees of Freedom                

Mean Sum of Squares              

F

Factor A

3

15

Factor B

          80

8

Interaction

6

8

1.6

Error

60

Total

(Type integers or decimals.)

b) How many replications are present for each cell?

r=

Find the p-value for the interaction between Factors A and B.

p-value=

(Round to three decimal places as needed.)

Find the p-value for Factor A.

p-value=

(Round to three decimal places as needed.)

Find the p-value for Factor B.

p-value=

(Round to three decimal places as needed.)

Source

Sum of Squares               Squares

Degrees of Freedom                

Mean Sum of Squares              

F

Factor A

3

15

Factor B

          80

8

Interaction

6

8

1.6

Error

60

Total

Explanation / Answer

from above data below is complete ANOVA table:

b)

number of replicants =(N+1)/((df(factor A)+1)( (df(factor B)+1)) =(71+1)/((3+1)*(2+1))=6

p-value for the interaction between Factors A and B- p value =0.1629 ~ 0.163

p-value for Factor A.p-value =0.0375~ 0.037

p-value for Factor B p-value= 0.0008 ~ 0.0011

Source Sum of Squares Degrees of Freedom                 Mean Sum of Squares               F p value Factor A 45 3 15 3 0.0375 Factor B 80 2 40 8 0.0008 Interaction 48 6 8 1.6 0.1629 Error 300 60 5 Total 473 71