In: Statistics and Probability
A researcher is examining whether the placement situation for maltreated children affects those children's involvement in juvenile delinquency later on. The researcher collected a sample of juveniles with histories of maltreatment and divided them into three groups: those who stayed with one or both biological parents; those placed in foster care; and those placed in group homes or other facilities. The outcome measure is the number of status and/or delinquent offenses each youth has committed. The data are displayed in the table. Using an alpha of .05, conduct a 5-step ANOVA hypothesis test to find out if there are differences between groups. If appropriate, calculate and interpret omega-squared.
All 5 steps must be shown
Parent(s) | Foster Care | Residential Facility |
5 | 9 | 10 |
0 | 7 | 8 |
1 | 1 | 6 |
4 | 4 | 9 |
8 | 3 | 11 |
9 | 0 | n3 = 5 |
n1 = 6 | 2 | |
n2 = 7 |
Solution
We will use One Way Anova to to find out if there are differences between groups and the procedure is as follows
(5) Conclusion
It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that there are differences between groups, at the α=0.05 significance level.