ANALYSIS OF VARIANCE (ANOVA) Please help. Perform the one-way analysis of varian
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Question
ANALYSIS OF VARIANCE (ANOVA)
Please help. Perform the one-way analysis of variance (ANOVA) for the data in "From Data to Decision"
Crtitical Thinking:
Drugs must unergo thorough testing before being approves for general use. In addition to testing for adverse reactions, they must also be tested for their effectiveness, & the analysis of such test results typically involves methods of statistics. Consider the development of Xynamine (a new drug designes to lowe pulse rates). In order to obtain more consistent results that do not have a confounding variable of gender, the drug is tested using males only. Given below are pulse rates for a placebo group, a group of men treated with Xynamine in 10 mg doses, & a group of men treated with 20 mg doses of Xynamine. The projet manager for the drug conducts reseach & finds that for adult males, pulse rates are normally distributed with a mean around 70 bpm. His summary report states that the drug is effective, based on this evidence: The placebo group has a mean pulse rate of 68.9, which is close to the value of 70 bpm. for adult males in general, bu tthe group treated with 10 mg doses of Xynamine has a lower mean pulse rate of 66.2, & the group treated 20 mg doses of Xynamine has the lowest mean pulse rate of 65.2.
Analyze the Results:
Based on the results, (1) does it appear that there is sufficient evidence to support the claim that the drug lowers pulse rates?
(2) Are there any serious problems with the design of the experiment?
(3) Given that only males were involved in the experiment, do the results also appy to the females?
(4) The project manager compared the post treatment pulse rates to the mean pulse rate of adult males. Is there a better way to measure the drug's effectiveness in lowering pulse rates?
(5) How would you Characterize the overall validity of the experiment? Based on the available results, should the drug be approved? Write a brief summary of the findings.
PLACEBO GROUP 77 61 66 63 81 75 66 79 66 75 48 70
10 mg Treatment Group 67 48 79 67 57 71 66 85 75 77 57 45
20 mg Treatment Group 72 94 57 63 69 59 64 82 34 76 59 53
Explanation / Answer
Descriptive of Pulse Rate
N
Mean
Std. Deviation
Std. Error
95% Confidence Interval for Mean
Lower Bound
Upper Bound
Placebo
12
68.92
9.288
2.681
63.02
74.82
10 mg Treatment Group
12
66.17
12.379
3.574
58.30
74.03
20 mg Treatment Group
12
65.08
15.222
4.394
55.41
74.76
Total
36
66.72
12.279
2.047
62.57
70.88
ANOVA of Pulse Rate with three groups.
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
93.722
2
46.861
.298
.744
Within Groups
5183.500
33
157.076
Total
5277.222
35
Descriptive of Pulse Rate
N
Mean
Std. Deviation
Std. Error
95% Confidence Interval for Mean
Lower Bound
Upper Bound
Placebo
12
68.92
9.288
2.681
63.02
74.82
10 mg Treatment Group
12
66.17
12.379
3.574
58.30
74.03
20 mg Treatment Group
12
65.08
15.222
4.394
55.41
74.76
Total
36
66.72
12.279
2.047
62.57
70.88
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