Data file is available on Canvas
Open the data file “Two-Way ANOVA”
Kendra wants to look at how a child’s developmental disabilities might affect the amount of time
fathers play with their child and whether or not it might be different for boys and girls. Play
scores represent the number of 10-minute sessions per week the father plays with the child.
Higher scores mean more play time.
1. Run a two-way ANOVA to analyze Kendra’s data
Are the groups equal? The groups are equal. This is because p > .05, indicating
that the error variances are statistically equal across all
groups, and therefore the assumption of homogeneity of
variance is met.
a. Is there a main effect of a. Yes, there is a significant main effect of disability
disability? b. There was a significant main effect of disability on
b. Write the results of the F-test in father–child play time, F (2, 66) = 37.91, p < .001, ηp² =
APA style: .535.
a. Is there a main effect of a. No
gender? b. The main effect of gender on father–child play time was
b. Write the results of the F-test in not significant, F(1, 66) = 2.10, p = .152, ηp² = .031.
APA style:
What does the post hoc test tell The post hoc test suggests that there is a significant
you about the differences between difference between all three sets of disability and fathers
the groups in Kendra’s study? spend more time with children who develop normally, less
with children with mental disability and lastly fewer with
children with physical disability.
a.Is there an interaction effect? a. Yes, there is a significant interaction effect between
b.Write the results of the F-test in disability status and gender
APA style: b. There was a significant interaction between disability
status and gender on father–child play time, F(2, 66) = 3.85,
p = .026, ηp² = .104
What does the profile plot tell you The profile plot shows that the effect of disability on father–
about the participants in Kendra’s child play differs by gender, fathers played more with boys
research? than girls in the Typically Developing and Mental Disability
groups, whereas in the Physical Disability group, girls
received slightly more play time than boys.
Write a Results section in APA A 3 × 2 ANOVA with disability status of the child
style: (typically developing, physical disability, mental disability)
and gender (male, female) as between-subjects factors
revealed a main effect for disability status, F(2, 66) = 37.91,
p < .001, 2 = .535, but no main effect of gender, F(1, 66) =
2.10, p = .15, 2 = .031. However, there was an interaction
effect, F (2, 66) = 3.85, p = .026, 2 = .104. This is a