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 2.4 0.2 2.5 3.5 1.6 1.7 2.7 4.3 2.7 3.4 2 3.4 0.5 1.2 5.2 5.1 2.4 2.3 4 3.5 1.8 0.3 4.1 3.8 From this table, conduct an one-way ANOVA. Calculate the F-ratio and p-value. Be sure to round your answers to three decimal places. Assume all population and ANOVA requirements are met. F-ratio:  _____ p-value:  _____ What is your final conclusion?  Use a significance level of α=0.05. (Select one):  There is sufficient evidence that there exists a significant difference between treatments. There is not enough evidence to determine a difference between the treatments.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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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
2.4 0.2 2.5 3.5
1.6 1.7 2.7 4.3
2.7 3.4 2 3.4
0.5 1.2 5.2 5.1
2.4 2.3 4 3.5
1.8 0.3 4.1 3.8



From this table, conduct an one-way ANOVA. Calculate the F-ratio and p-value. Be sure to round your answers to three decimal places. Assume all population and ANOVA requirements are met.

F-ratio:  _____
p-value:  _____


What is your final conclusion?  Use a significance level of α=0.05. (Select one): 

  • There is sufficient evidence that there exists a significant difference between treatments.
  • There is not enough evidence to determine a difference between the treatments.
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