Question

Chapter 13

A Factorial ANOVA was conducted on the data set “Goggles.sav” in the Field textbook. Results are below:

Tests of Between-Subjects Effects
Dependent Variable: Attractiveness of Date
Source	Type III Sum of Squares	Df	Mean Square	F	Sig.
Corrected Model	5479.167a	5	1095.833	13.197	.000
Intercept	163333.333	1	163333.333	1967.025	.000
Sex	168.750	1	168.750	2.032	.161
Alcohol	3332.292	2	1666.146	20.065	.000
Sex * Alcohol	1978.125	2	989.062	11.911	.000
Error	3487.500	42	83.036
Total	172300.000	48
Corrected Total	8966.667	47
a. R Squared = .611 (Adjusted R Squared = .565)

Question 1 to 4 are answered please answer question 5 and 6

1. Looking at the ANOVA table (Tests of Between-Subjects Effects):

   1. Number of main effect(s) = _____

   2. Number of interaction(s) = _____

   3. Degrees of freedom of residual term = _____

Number of main effect=2 (sex and alcohol)

Number of interaction effect=1 (sex*alcohol)

degree of freedom of residual term=83.06

2. Indicate the lower order effect(s):______________________; indicate the higher order

      effect(s):______________________

lower oder effect: sex*alcohol

higher order effect: sex and alcohol

3. What can you conclude about the significance of the main effects? Interaction?

sex has no effect on effect on attractriveness of date since pvalue > 0.05 i.e we accept H01.

Alcohol and sex*alcohol has effect on attractiveness of date since pvalue < 0.05 i.e. we reject H02 and H03.

4. Report the main effect of Sex, in APA format. Report the main effect of Alcohol, in APA format. Report the interaction effect of Sex and Alcohol, in APA format.

The main effect sex has pvalue 0.161 which is greater than level of significance i.e 0.05. Therefore we may accept, H01: sex has no effect in attractiveness of date.

The main effect alcohol has pvalue 0.000 which is less than level of significance i.e. 0.05. Therefore we may reject, H02: alcohol has no effect in attractiveness of date

5. Would you interpret the main effects of Sex and Alcohol? Why or why not?

6. What would a significant Sex by Alcohol interaction mean? For interpretation, where would you look next in the output?

Answer 1

1.

1. Number of main effect(s) = 2

2. Number of interaction(s) = 1

3. Degrees of freedom of residual term = 42

5. Would you interpret the main effects of Sex and Alcohol? Why or why not?

Yes, there is a significant main effect of Sex. But Alcohol would not be interpreted.
6. What would a significant Sex by Alcohol interaction mean? For interpretation, where would you look next in the output?

We would look at the p-value for the interaction term. It means there is a significant effective of the combined groups.