The following data have the same sample means and variances that appeared in the preceding question but the sample size is increased to n = 10. I II III n = 10 n = 10 n = 10 M = 1 M = 5 M = 6 N = 30 T = 10 T = 50 T = 60 G = 120 s² = 9.00 s² = 10.00 s² = 11.00 ∑X² = 890 SS = 81 SS = 90 SS = 99 Predict how the increase in sample size should affect the F-ratio for these data. Use an ANOVA to check your prediction. Larger samples should the F-ratio. Source SS df MS F Between treatments Within treatments Total Predict how the increase in sample size should affect the value of η² for these data compared to the η² in problem 10. Calculate η² to check your prediction. Increasing the sample size should effect on η². η² =
The following data have the same sample means and variances that appeared in the preceding question but the sample size is increased to n = 10. I II III n = 10 n = 10 n = 10 M = 1 M = 5 M = 6 N = 30 T = 10 T = 50 T = 60 G = 120 s² = 9.00 s² = 10.00 s² = 11.00 ∑X² = 890 SS = 81 SS = 90 SS = 99 Predict how the increase in sample size should affect the F-ratio for these data. Use an ANOVA to check your prediction. Larger samples should the F-ratio. Source SS df MS F Between treatments Within treatments Total Predict how the increase in sample size should affect the value of η² for these data compared to the η² in problem 10. Calculate η² to check your prediction. Increasing the sample size should effect on η². η² =
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following data have the same sample means and variances that appeared in the preceding question but the sample size is increased to n = 10.
| I | II | III | |
| n = 10 | n = 10 | n = 10 | |
| M = 1 | M = 5 | M = 6 | N = 30 |
| T = 10 | T = 50 | T = 60 | G = 120 |
| s² = 9.00 | s² = 10.00 | s² = 11.00 | ∑X² = 890 |
| SS = 81 | SS = 90 | SS = 99 |
Predict how the increase in sample size should affect the F-ratio for these data. Use an ANOVA to check your prediction.
Larger samples should the F-ratio.
|
Source
|
SS
|
df
|
MS
|
F
|
|---|---|---|---|---|
| Between treatments | ||||
| Within treatments | ||||
| Total |
Predict how the increase in sample size should affect the value of η² for these data compared to the η² in problem 10. Calculate η² to check your prediction.
Increasing the sample size should effect on η².
η² =
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