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.
The 5 step process 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 |
(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.