Use the table below to answer the following questions. a) How many levels (a) ar

Question

Use the table below to answer the following questions.

a) How many levels (a) are there for factor A?

b) How many levels (b) are there for factor B?

H0: No treatment effect vs Ha: There is some treatment effect

F=

Reject H0 if F>  (use F0.05,3,120 as the critical value)

Conclusion:  (type reject or fail to reject)

Interpretation: There  sufficient evidence to support that there is a treatment effect. (type is or is not)

Is it appropriate to conduct for an interaction effect?  (type yes or no)

H0: No AB interaction vs Ha: Factors A and B interact

p-value=

Conclusion:    H0 (type reject or fail to reject)

Interpretation: There  sufficient evidence to support that there is an interaction effect. (type is or is not)

Should the factor effect tests be conducted?  (type yes or no)

Source    df SS MS p-value A 1 1.36 1.360 0.266 B 1 0.622 0.622 0.451 AB 1 22.405 22.405 0.000 Error 132 143.948 1.091 x Total 135 168.335 x x

Explanation / Answer

a)

levels (a) are there for factor A =df(A)+1 =1+1 =2

b)  levels (b) are there for factor B =df(B)+ 1=1+1 =2

1)FA= MSA/MSE =1.36/1.091=1.25 ; FB =0.622/1.091 =0.57

Reject H0 if F> 3.91

Conclusion:   fail to reject

There  is not sufficient evidence to support that there is a treatment effect.

No

2)

p-value= 0.0000

Reject H0 if p-value<0.05

Conclusion:  reject

There is sufficient evidence to support that there is an interaction effect

Should the factor effect tests be conducted : Yes

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