4. The following data were obtained from an independent-measures research study comparing three treatment conditions. Use an ANOVA with a=.05 to determine whether there are any significant mean differences among the treatments (do ALL the steps of a hypothesis test). If so, solve for the effect size and conduct Tukey post-hoc tests. 1 5 1 2 3 0 1 2 2 T₁ = 16 SS₁ = 16 n₁ = 8 M₁ = 2 ԼՈ Treatment 2 4 6 4 3 5 сор со сл 3 4 3 T₂ = 32 SS₂ = 8 n₂ = 8 M₂ = 4 3 7 9 8 4 5 6 45 4 T3 = 48 SS3 = 24 = 8 n3 = M3 = 6 ΣΧ2 = 496 G = 96 N = 24 k = 3
4. The following data were obtained from an independent-measures research study comparing three treatment conditions. Use an ANOVA with a=.05 to determine whether there are any significant mean differences among the treatments (do ALL the steps of a hypothesis test). If so, solve for the effect size and conduct Tukey post-hoc tests. 1 5 1 2 3 0 1 2 2 T₁ = 16 SS₁ = 16 n₁ = 8 M₁ = 2 ԼՈ Treatment 2 4 6 4 3 5 сор со сл 3 4 3 T₂ = 32 SS₂ = 8 n₂ = 8 M₂ = 4 3 7 9 8 4 5 6 45 4 T3 = 48 SS3 = 24 = 8 n3 = M3 = 6 ΣΧ2 = 496 G = 96 N = 24 k = 3
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:4. The following data were obtained from an independent-measures research study
comparing three treatment conditions. Use an ANOVA with a=.05 to determine
whether there are any significant mean differences among the treatments (do ALL the
steps of a hypothesis test). If so, solve for the effect size and conduct Tukey post-hoc
tests.
1
51230
1
2
2
T₁ = 16
SS₁₂ = 16
n₁ = 8
M₁ = 2
Treatment
2
4
6
4
3
5
3
4
3
T₂ = 32
SS₂ = 8
n₂ = 8
M₂ = 4
3
7
9
8
4
5
6
4
5
T3 = 48
SS3 = 24
n3 = 8
M3 = 6
ΣΧ2 = 496
G = 96
N = 24
k = 3
Expert Solution

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VIEWStep 2: Write the null and alternate hypothesis for the given scenario.
VIEWStep 3: Calculate sum of squares for within and between.
VIEWStep 4: Determine the F-statistic for ANOVA and degree of freedom:
VIEWStep 5: Determine the decision rule and conclusion for the hypothesis test.
VIEWStep 6: Conduct the Tukey-post hoc test.
VIEWStep 7: Determine the measure of effect size.
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