A clinical psychologist has noted that autistic children seem to respond to treatment better if they are in a familiar environment. To evaluate the influence of environment, the psychologist selects a group of 15 autistic children who are currently in treatment and randomly divides them into three groups. One group continues to receive treatment in the clinic as usual. For the second group, treatment sessions are conducted entirely in the child’s home. The third group gets half the treatment in the clinic and half at home. After 6 weeks, the psychologist evaluates the progress of each child. The data are as follows:

Clinic    Home    Both 

X1          X2          X3

1              2           4

1              7           1

5              2            2

2             4              2

1              5            6

Use the ANOVA to determine if these data indicate any significant differences among the three groups. Present your results in the ANOVA summary table on the following page. 

Source    SS       df         MS         F 

Betwee

Withi

Total  

What critical value should be used to test the hypothesis at = .05?

What decision should the researcher make about the null hypothesis?

What should the researcher conclude regarding the differences among the three groups? Be sure to conduct Tukey HSD as a post hoc test if appropriate.

Calculate η2