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Mathematics & Economics
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Math/Physic/Economic/Statistic Problems (Essay Sample)
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14. For each of the following studies, decide whether you can reject the
null hypothesis that the groups come from identical populations. Use the
.01 level. In addition, figure the effect size for each.
(a) Group 1 Group 2 Group 3
1 1 8
2 2 7
1 1 8
2 2 7
10.1-30 Full Alternative Text
(b) Group 1 Group 2 Group 3
1 4 8
2 5 7
1 4 8
2 5 7
18. What is the power of each of the following planned studies, using the
analysis of variance with p<.05?
Predicted Effect
Size
Number of
Groups
Participants in Each
Group
(a) Small 4 50
(b) Medium 4 50
Predicted Effect
Size
Number of
Groups
Participants in Each
Group
(c) Large 4 50
(d) Medium 5 50
19. About how many participants do you need in each group for 80%
power in each of the following planned studies, using the analysis of
variance with p<.05?
Predicted Effect Size Number of Groups
(a) Small 5
(b) Medium 5
(c) Large 5
(d) Medium 3 source..
Content:
EDU9615 Problem Set 2
Student’s Name
Institutional Affiliation
Course Name
Instructor’s Name
Submission Date
EDU9615 Problem Set 2
Chapter 10: Set 2 (14, 18 and 19)
14. (a)
3609975380365The table was screenshotted straight from the SPSS output. It was then resized.00The table was screenshotted straight from the SPSS output. It was then resized.
Since value p < 0.01; reject null hypothesis (Ho)
The samples does come from identical populations.
Effect size is 96/99 = .9697
(b)
3933825323850The table was screenshotted straight from the SPSS output. It was then resized.00The table was screenshotted straight from the SPSS output. It was then resized.
Since value p < 0.01; reject null hypothesis (Ho)
The samples do not come from identical populations.
Effect size is 72/75 = .96
18.
(a).
We use the table of Approximate Power for Studies with a significance level of 0.05 to determine the power for a study with =4, with each group size n=50 and small effect size. The tabular value for power is 0.19.
(b).
We use the table of Approximate Power for Studies with a significance level of 0.05 to determine the power for a study with =4, with each group size n=50, and medium effect size. The tabular value for power is 0.85.
(c).
We use the table of Approximate Power for Studies with a significance level of 0.05 to determine the power for the study with =4, with each group size n=50 and large effect size. The tabular value for power is 1.
(d).
We use the table of Approximate Power for Studies with a significance level of 0.05 to determine the power for a study with =50, with every group size n=50, and medium effect size. The tabular value for power is 0.90.
Therefore,
Predicted Effect Sizes
Number of Group
Participants in Each Group
Total
(a)
Small
4
50
0.19
(b)
Medium
4
50
0.85
(c)
Large
4
50
1
(d)
Medium
5
50
0.90
19.
The test used here is ANOVA, and the purpose is to determine if the means are all equal or if at least one of them is different from the others. The ANOVA test uses the F-statistic, which compares the between group variance against the within group variance. The sum of freedom degrees for the F-statistic denominator is equal to sum of observations in all groups combined, minus the number of groups. For the tests shown in the table above, the two values are:
dfN =k - 1 = 4 - 1 = 3
dfD = N - k = 60 - 4 = 56
For the first test, "Conformity," the test statistics can be reported as 4.21, and the p value is indicated as being less than .01. This signifies that null hypothesis could be rejected in any alpha value greater than 0.01 and that at least one of the means ...
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