Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005).  Based on pretreatment depression scores, patients were divided into four groups based on their level of depression.  After receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patient. The following data are similar to the results of the study.

Using your statistical software package, run the independent-measures single-factor ANOVA for this data:
Low
Moderate
High
Moderate
Moderately
Severe
 
Severe
1.933.83.7
2.53.55.21.4
2.73.22.91.4
2.22.74.23
2.62.12.82.8
1.81.91.74.3
The data can also be downloaded in serial format using this link:  Download CSV

Fill in the summary table for the ANOVA test:
 S.S.d.f.M.S.
Between
Within
TOTAL
From this table, obtain the necessary statistics for the ANOVA:
F-ratio: 
p-value: 
η2=\displaystyle \eta^{{2}}=

What is your final conclusion?  Use a significance level of α=0.05\displaystyle \alpha={0.05}.


(Report P-value, F-ratio & MS-s accurate to 3 decimal places and all other values accurate to 2 decimal places.)