Answered: A graduate student realized that the…

Name: A graduate student realized that the depression study above in Questio
Uploaded: 2024-03-20T07:06:27.000Z
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Description: A graduate student realized that the depression study above in Question 4 should have had a placebo condition in which a third group was given a pill just as the people in the Drug condition were, but where the pill was not Drug D (e.g., a sugar pill

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A graduate student realized that the depression study above in Question 4 should have had a placebo condition in which a third group was given a pill just as the people in the Drug condition were, but where the pill was not Drug D (e.g., a sugar pill). So she designed a new experiment with three conditions -- Drug, No Drug, and Placebo. To perform the experiment, the graduate student randomly assigned 18 people into the three groups so that each group has 6 people. After one month of treatment, all 18 people were asked to rate on a scale from 1 to 7 how depressed they felt, where 1 = not depressed at all and 7 = very depressed. The following are the data:

Drug	No Drug	Placebo
2	4	5
3	5	5
4	5	6
4	4	5
2	6	4
3	6	5
n_D = 6	n_ND = 6	n_placebo = 6
M_D = 3	M_ND = 5	M_placebo = 5

Using an α-level of .05, perform an Analysis of Variance (ANOVA) to determine whether there is a difference among the three conditions. Specifically, answer the following questions:

What is the within condition degrees of freedom, df_within?
What is the within condition sum of squares, SS_within?
What is the within condition mean squares, MS_within?
What is the between condition degrees of freedom, df_between?
What is the between condition sum of squares, SS_between?
What is the between condition mean squares, MS_between?
Calculate the F-value for this experiment.
Using Table F, choose the appropriate critical value of F for this problem.
Based on the relationship between the value of F you calculated in (7) and the critical value of F you chose in (8), can the researcher conclude that there is a difference among the three conditions?

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