A Two-Way ANOVA Summary Table is shown below. The critical value for the F test

Question

A Two-Way ANOVA Summary Table is shown below.

The critical value for the F test using lpha = 0.05, d.f.N. = 2, and d.f.D = 54 is 3.17. Then

a. The null hypothesis concerning Factor A should be rejected

b. The null hypothesis concerning Factor B should be rejected

c. The null hypothesis concerning Factor A and the Interaction (AxB) effect should be rejected

d. All of the null hypotheses should be accepted

2. In 2-way ANOVA, effects of the independent variables are also referred to as the ________________.

3. For a disordinal interaction, the main effects can be interpreted independently of each other.

A.True

B. False

Source SS d.f. MS F Factor A 8.70 2 4.35 2.56 Factor B 3.23 2 1.62 0.95 Interaction A x B 11.63 4 2.91 1.71 Within (error) 91.80 54 1.7 Total 115.362 62

Explanation / Answer

The critical value for the F test using lpha = 0.05, d.f.N. = 2, and d.f.D = 54 is 3.17. Then

a. The null hypothesis concerning Factor A should be rejected

b. The null hypothesis concerning Factor B should be rejected

c. The null hypothesis concerning Factor A and the Interaction (AxB) effect should be rejected

d. All of the null hypotheses should be accepted

( all the three calculated F values are < 3.17)

2. In 2-way ANOVA, effects of the independent variables are also referred to as the Factors.

3. For a disordinal interaction, the main effects can be interpreted independently of each other.

A.True

B. False

(When there is a disordinal interaction, one should not interpret the main effects without considering the interaction effect.)

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