What are the approximate numbers of participants needed for each of the following planned studies to have 80% power, assuming equal numbers in the two groups and all using the 0.05 significance level? (Be sure to give the total number of participants needed, not just the number needed for each group.) Expected Means Study M1 M2 Expected SPooled Tails (a) 106.0 122.4 82.0 1 (b) 42.7 17.1 32.0 2 (c) 10.0 8.8 2.4 1 (d) 477.0 502.0 50.0 2 Approximate Number of Participants Needed in Each Group (Assuming Equal Sample Sizes) for 80% Power for the t Test for Independent Means, Testing Hypotheses at the 0.05 Significance Level Effect Size Small (0.20) Medium (0.50) Large (0.80) One-tailed 310 50 20 Two-tailed 393 64 26
What are the approximate numbers of participants needed for each of the following planned studies to have 80% power, assuming equal numbers in the two groups and all using the 0.05 significance level? (Be sure to give the total number of participants needed, not just the number needed for each group.) Expected Means Study M1 M2 Expected SPooled Tails (a) 106.0 122.4 82.0 1 (b) 42.7 17.1 32.0 2 (c) 10.0 8.8 2.4 1 (d) 477.0 502.0 50.0 2 Approximate Number of Participants Needed in Each Group (Assuming Equal Sample Sizes) for 80% Power for the t Test for Independent Means, Testing Hypotheses at the 0.05 Significance Level Effect Size Small (0.20) Medium (0.50) Large (0.80) One-tailed 310 50 20 Two-tailed 393 64 26
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
Related questions
Question
What are the approximate numbers of participants needed for each of the following planned studies to have 80% power, assuming equal numbers in the two groups and all using the 0.05 significance level? (Be sure to give the total number of participants needed, not just the number needed for each group.)
|
|
Expected Means
|
|
|
|
|---|---|---|---|---|
|
Study
|
M1
|
M2
|
Expected SPooled
|
Tails
|
|
(a)
|
106.0
|
122.4
|
82.0
|
1
|
|
(b)
|
42.7
|
17.1
|
32.0
|
2
|
|
(c)
|
10.0
|
8.8
|
2.4
|
1
|
|
(d)
|
477.0
|
502.0
|
50.0
|
2
|
Approximate Number of Participants Needed in Each Group (Assuming Equal Sample Sizes) for 80% Power for the t Test for Independent Means, Testing Hypotheses at the 0.05 Significance Level
|
|
Effect Size
|
||
|---|---|---|---|
|
|
Small (0.20)
|
Medium (0.50)
|
Large (0.80)
|
|
One-tailed
|
310
|
50
|
20
|
|
Two-tailed
|
393
|
64
|
26
|
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