Question

In: Statistics and Probability

A research study was conducted to examine the clinical efficacy of a new antidepressant. Depressed patients...

A research study was conducted to examine the clinical efficacy of a new antidepressant. Depressed patients were randomly assigned to one of three groups: a placebo group, a group that received a low dose of the drug, and a group that received a moderate dose of the drug. After four weeks of treatment, the patients completed the Beck Depression Inventory. The higher the score, the more depressed the patient. The data are presented below

placebo low dose moderate dose

38 22 14

47 19 26

39 8 11

25 23 18

42 31 5

. Compute the appropriate test

. 1. What is your computed answer? 2. What would be the null hypothesis in this study? 3. What would be the alternate hypothesis? 4. What probability level did you choose and why? 5. What is your Fcrit? 6. Is there a significant difference between the groups? 7. Interpret your answer.

Solutions

Expert Solution

using excel>data>data analsysis>ANOVA single factor

we have

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
placebo 5 191 38.2 66.7
low dose 5 103 20.6 69.3
moderate dose 5 74 14.8 61.7
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 1484.933 2 742.4667 11.26657 0.001761 3.885294
Within Groups 790.8 12 65.9
Total 2275.733 14

1.we will use one way ANOVA to compute the answers so F calculated =11.26657

2. the null hypothesis in this study is

Ho: u(placebo)=u(low dose)=u(moderate dose)

3. the alternate hypothesis is

Ha: at least two means are different

4. we will use probability level 0.05 becasue it is used commonly in all analysis if probability level not given .

5. Fcrit =3.885

6. yes ,there a significant difference between the groups becasue F>3.885

7. we wil conclude that there is a significant differnce between the the clinical efficacy of a new antidepressant.

orchestra answered 2 years ago
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