Researchers randomly assigned 33 participants suffering from

Researchers randomly assigned 33 participants suffering from generalized anxiety disorder (GAD) to the three levels of a treatment IV (cognitive behavioral, group therapy, and no treatment control) and measured outcome by administering a measure of anxiety that ranged in total score from 1 to 50 with higher scores indicating more anxiety. When the researchers analyzed the data, they obtained the following ANOVA summary table with certain values missing. To answer questions pertaining to these data, you will need to solve for the missing values.

Source

df

SS

MS

F

Treatment

2

?

1100

?

?

2700

?

32

4900

Based on the results in the ANOVA summary table, the researchers would decide to reject the null hypothesis. True or False?

Solution

Follwoing is the completed ANOVA table:

The p-value of F with df1=2 and df2=30 and F=12.222 is 0.0001. Since P-value is very small so reject the null hypothesis. So statement is true.