Recent research indicates that the ellectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patienes were divided into groups based on their level of depression. Alter 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 resuts the study. Using MS Excel,run the independere measures single factor ANOVA for this data Low Moderate Moderate 1.8 1.6 High Moderately Severe Severe 28 2.9 2.7 31 39 45 2.9 21 25 32 3.7 22 1.5 1.4 36 47 2.1 2.8 0.4 43 Filinthe summary atie for the ANOVA test Raund arsmers for 55 and MS to 3 decimal places) M.S. Between Within TOTAL Also from Excel, obain the necessary statistics for the ANOVA tes:

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Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Drodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four
groups based on their level of depression. Alter receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patienL. The following data are similar to the results of
the study.
Using MS Excel, run the independent-measures single-factor ANOVA for this data:
High
Moderately
Severe
Low
Moderate
Moderate
Severe
1.8
2.9
2.7
3.1
28
1.6
3.9
45
2.9
21
25
1
2.1
1.5
3.6
32
1.4
4.7
3.7
0.4
2.8
43
22
Fill in the summary lable for the ANOA test
(Round arswers for S5 arnd MS to 3 decimal places,.)
S.S.
df.
M.S.
|Веtween
Within
TOTAL
Also from Excel, obtain the necessary statistics for the ANOVA test:
(Report Pvalue & Fratio accurate to 3 decimal places.)
Fratio:
pvalue:
What is your final conclusion? Lse a significance level of a = 0.05.
ODo not reject Ha. These data do not provide evidence al a difference belween the treatments. Therefore, all treatments are the same (equal).
OReject Ha. There is a significant difference between treatments. All of the treatments are different.
OReject Ha. There is a signilficant difference between treatments. AL least one of the treatments is different.
ODo not reject Ha. These data do not provide evidence al a difference belween the treatments. Continue to assume that all treatments are the same (equal).
Transcribed Image Text:Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Drodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. Alter receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patienL. The following data are similar to the results of the study. Using MS Excel, run the independent-measures single-factor ANOVA for this data: High Moderately Severe Low Moderate Moderate Severe 1.8 2.9 2.7 3.1 28 1.6 3.9 45 2.9 21 25 1 2.1 1.5 3.6 32 1.4 4.7 3.7 0.4 2.8 43 22 Fill in the summary lable for the ANOA test (Round arswers for S5 arnd MS to 3 decimal places,.) S.S. df. M.S. |Веtween Within TOTAL Also from Excel, obtain the necessary statistics for the ANOVA test: (Report Pvalue & Fratio accurate to 3 decimal places.) Fratio: pvalue: What is your final conclusion? Lse a significance level of a = 0.05. ODo not reject Ha. These data do not provide evidence al a difference belween the treatments. Therefore, all treatments are the same (equal). OReject Ha. There is a significant difference between treatments. All of the treatments are different. OReject Ha. There is a signilficant difference between treatments. AL least one of the treatments is different. ODo not reject Ha. These data do not provide evidence al a difference belween the treatments. Continue to assume that all treatments are the same (equal).
Expert Solution
Step 1

Excel Procedure:

Enter the given data in Excel sheet>Data>Data Analysis>Select ‘Anova: single factor’ and click on ‘OK’>Select the data under ‘input range’>Click on ‘OK’.

Statistics homework question answer, step 1, image 1

 

Excel Output:

Statistics homework question answer, step 1, image 2

From the output,

  SS df MS
Between  13.838 3 4.612639
Within  14.152 20 0.707583
Total 27.99 23  
  • F ratio: 6.519
  • p value: 0.003
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