4. (20 points) The data below are from an independent-measures experiment compar
ID: 3259119 • Letter: 4
Question
4. (20 points) The data below are from an independent-measures experiment comparing three different treatment conditions.
Treatment 1 Treatment 2 Treatment 3
0 1 6
1 4 5 G = 36
0 1 8 X2 = 182
3 2 5
–––––––––––––––––––––––––––––––––––––
T = 4 T = 8 T = 24
SS = 6 SS = 6 SS = 6
a) Fill out the ANOVA table below:
Source SS df MS F
Between
Within
Total
b) Use an analysis of variance with = .05 to determine whether these data indicate any significant mean differences among the treatments.
Fcritical = ____________
Decision = _____________
Explanation / Answer
b) since F-critical = 5.1423
since p-value = 0.004453 < alpha (0.05)
we rejct the null hypothesis
Groups Count Sum Average Variance Column 1 3 1 0.333333333 0.3333333 Column 2 3 6 2 3 Column 3 3 19 6.333333333 2.3333333 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 57.55555556 2 28.77777778 15.235294 0.004453 5.143253 Within Groups 11.33333333 6 1.888888889 Total 68.88888889 8Related Questions
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