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In: Statistics and Probability

Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of...

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.

Run the single-factor ANOVA for this data:

Low
Moderate
High
Moderate
Moderately
Severe

Severe
1.1 3.6 3.6 4.5
1.7 2 3.7 4.2
2.2 3.6 2.6 3.6
3.1 0.9 3.4 2.1
1.1 3.1 2.8 3.9
1.8 3.3 2.3 2.1

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=

What is your final conclusion? Use a significance level of α=0.02.

  • __These data do not provide evidence of a difference between the treatments
  • __There is a significant difference between treatments

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