MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The following results are from an independent-measures, two-factor study with n = 5 participants in each treatment condition.
Factor A:
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Factor B:
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B₁ | B₂ | B₃ | |
n = 5 | n = 5 | n = 5 | |
A₁ | M = 5 | M = 8 | M = 14 |
T = 25 | T = 40 | T = 70 | |
SS = 30 | SS = 38 | SS = 46 | |
n = 5 | n = 5 | n = 5 | |
A₂ | M = 3 | M = 4 | M = 8 |
T = 15 | T = 20 | T = 40 | |
SS = 22 | SS = 26 | SS = 30 | |
∑X² = 2,062 |
A. Use a two-factor ANOVA with α = .05 to evaluate the main effects and interactions.
Source
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SS
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df
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MS
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F
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Between treatments |
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A |
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B |
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A x B |
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Within treatments |
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Total |
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B. Use the Distribution tool to find critical F values. (Use three decimal places.)
F-criticalAA | = |
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F-criticalBB | = |
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F-criticalAxBAxB | = |
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C.
Is there a significant main effect for factor A? Yes or No
Is there a significant main effect for factor B? Yes or No
Is there a significant interaction? Yes or No
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