Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134210247
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter 6, Problem 24E
Antidepressants A study compared the effectiveness of several antidepressants by examining the experiments in which they had passed the FDA requirements. Each of those experiments compared the active drug with a placebo, an inert pill given to some of the subjects. In each experiment some patients treated with the placebo had improved, a phenomenon called the placebo effect. Patients’ depression levels were evaluated on the Hamilton Depression Rating Scale, where larger numbers indicate greater improvement. (The Hamilton scale is a widely accepted standard that was used in each of the independently run studies.) The following
- a) Is it appropriate to calculate the
correlation ? Explain. - b) The correlation is 0.898. Explain what we have learned about the results of these experiments.
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A psychologist has a run a between-subjects experiment comparing two treatments for depression: Cognitive-Behavioral Therapy (CBT) and Client- Centered Therapy (CCT) against a control condition. Subjects were randomly assigned to the experimental condition. After 12 weeks, the subject’s depression scores were measured using the CESD depression scale. The higher the score, the more depressed. Determine if the therapy worked. The data are summarized as follows:
Control
40 38 37 40
CBT
21 17 19 16
CCT
10 17 15 16
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.
Moderately
High
Moderate
Low
Moderate
Severe
Severe
1.3
1.4
3
2.5
1.3
2
3.8
4
2.5
0.4
5
2.5
2.2
1.5
3.8
3.2
1.7
2
1.7
2
3.1
2.1
4.1
1.6
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:
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
1.6
2.9
3.8
3.4
0.9
1.3
3
2.8
1.8
3.1
3.3
3.2
2.7
3.7
2.4
4.9
3.8
2.9
3.7
3.2
4.9
1.7
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 a
= 0.01.
O There is sufficient evidence that there exists a significant difference between treatments.
O…
Chapter 6 Solutions
Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
Ch. 6.2 - Your statistics instructor tells you that the...Ch. 6.2 - Your statistics instructor tells you that the...Ch. 6.2 - Your statistics instructor tells you that the...Ch. 6.2 - Prob. 4JCCh. 6.2 - Prob. 5JCCh. 6 - Association Suppose you were to collect data for...Ch. 6 - Association II Suppose you were to collect data...Ch. 6 - Bookstore sales Consider the following data from a...Ch. 6 - Prob. 4ECh. 6 - Prob. 5E
Ch. 6 - Correlation facts II If we assume that the...Ch. 6 - Prob. 7ECh. 6 - Prob. 8ECh. 6 - Prob. 9ECh. 6 - Prob. 10ECh. 6 - Association III Suppose you were to collect data...Ch. 6 - Association IV Suppose you were to collect data...Ch. 6 - Prob. 13ECh. 6 - Prob. 14ECh. 6 - Prob. 15ECh. 6 - Prob. 16ECh. 6 - Firing pottery A ceramics factory can fire eight...Ch. 6 - Coffee sales Owners of a new coffee shop tracked...Ch. 6 - Matching Here are several scatterplots. The...Ch. 6 - Matching II Here are several scatterplots. The...Ch. 6 - Prob. 21ECh. 6 - Car thefts The National Insurance Crime Bureau...Ch. 6 - Prob. 23ECh. 6 - Antidepressants A study compared the effectiveness...Ch. 6 - Streams and hard water In a study of streams in...Ch. 6 - Traffic headaches A study of traffic delays in 68...Ch. 6 - Cold nights Is there an association between time...Ch. 6 - Association V A researcher investigating the...Ch. 6 - Prob. 29ECh. 6 - Prob. 30ECh. 6 - Correlation errors Your Economics instructor...Ch. 6 - More correlation errors Students in the Economics...Ch. 6 - Height and reading A researcher studies children...Ch. 6 - Prob. 34ECh. 6 - Correlation conclusions I The correlation between...Ch. 6 - Prob. 36ECh. 6 - Prob. 37ECh. 6 - Sample survey A polling organization is checking...Ch. 6 - Income and housing The Office of Federal Housing...Ch. 6 - Interest rates and mortgages 2015 Since 1985,...Ch. 6 - Fuel economy 2016 Here are engine size...Ch. 6 - Drug abuse A survey was conducted in the United...Ch. 6 - Prob. 43ECh. 6 - Burgers again In the previous exercise you...Ch. 6 - Prob. 45ECh. 6 - Second inning 2016 Perhaps fans are just more...Ch. 6 - Prob. 47ECh. 6 - Prob. 48ECh. 6 - Thrills 2013 Since 1994, the Best Roller Coaster...Ch. 6 - Thrills II For the roller coaster data in Exercise...Ch. 6 - Prob. 51ECh. 6 - Vehicle weights The Minnesota Department of...Ch. 6 - Prob. 53ECh. 6 - Flights 2016 Here are the number of domestic...
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