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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. Low Moderate High Moderate Moderately Severe   Severe 2.2 1.4 3.4 3.4 1.5 1.4 3.5 2.8 2.8 3.1 2.7 2.3 1.7 2.6 4.4 3.6 1.3 1.5 2.6 3.2 1.3 2.6 2.8 3.5 Fill in the summary table for the ANOVA test:   degrees of freedom (d.f.) Sum of Squares (S.S.) Mean Square (M.S.) Between       Within       Total         From this table, obtain the necessary statistics for the ANOVA: F-ratio (F-test statistic):   p-value:   η2η2 (Eta squared = Sum of squares betweenSum of squares totalSum of squares betweenSum of squares total and is on the Excel sheet. This gives the percentage of variation in the means that is due to the groups. This is similar to r2r2 in a correlation test).    What is your final conclusion?  Use a significance level of α=0.01α=0.01. There is a significant difference in the means for the treatments I was unable to show the treatments are independent The data does not provide evidence of a significant correlation for the treatments I was able to show the treatments are independent There is a significant correlation in the treatments The data does not provide evidence of a significant difference in the means for the treatments

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. Low Moderate High Moderate Moderately Severe   Severe 2.2 1.4 3.4 3.4 1.5 1.4 3.5 2.8 2.8 3.1 2.7 2.3 1.7 2.6 4.4 3.6 1.3 1.5 2.6 3.2 1.3 2.6 2.8 3.5 Fill in the summary table for the ANOVA test:   degrees of freedom (d.f.) Sum of Squares (S.S.) Mean Square (M.S.) Between       Within       Total         From this table, obtain the necessary statistics for the ANOVA: F-ratio (F-test statistic):   p-value:   η2η2 (Eta squared = Sum of squares betweenSum of squares totalSum of squares betweenSum of squares total and is on the Excel sheet. This gives the percentage of variation in the means that is due to the groups. This is similar to r2r2 in a correlation test).    What is your final conclusion?  Use a significance level of α=0.01α=0.01. There is a significant difference in the means for the treatments I was unable to show the treatments are independent The data does not provide evidence of a significant correlation for the treatments I was able to show the treatments are independent There is a significant correlation in the treatments The data does not provide evidence of a significant difference in the means for the treatments

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
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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.

Low
Moderate		 High
Moderate		 Moderately
Severe		  
Severe
2.2 1.4 3.4 3.4
1.5 1.4 3.5 2.8
2.8 3.1 2.7 2.3
1.7 2.6 4.4 3.6
1.3 1.5 2.6 3.2
1.3 2.6 2.8 3.5

Fill in the summary table for the ANOVA test:

  degrees of freedom (d.f.) Sum of Squares (S.S.) Mean Square (M.S.)
Between      
Within      
Total        

From this table, obtain the necessary statistics for the ANOVA:
F-ratio (F-test statistic):  
p-value:  
η2η2 (Eta squared = Sum of squares betweenSum of squares totalSum of squares betweenSum of squares total and is on the Excel sheet.

This gives the percentage of variation in the means that is due to the groups. This is similar to r2r2 in a correlation test).   

What is your final conclusion?  Use a significance level of α=0.01α=0.01.

  • There is a significant difference in the means for the treatments
  • I was unable to show the treatments are independent
  • The data does not provide evidence of a significant correlation for the treatments
  • I was able to show the treatments are independent
  • There is a significant correlation in the treatments
  • The data does not provide evidence of a significant difference in the means for the treatments
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