Question
The following data summarize the results from an independent-measures study comparing three treatment conditions. I II III n = 6 n = 6 n =
The following data summarize the results from an independent-measures study comparing three treatment conditions.
I | II | III | |
n = 6 | n = 6 | n = 6 | N = 18 |
M = 1 | M = 2 | M = 6 | G = 54 |
SS = 60 | SS = 65 | SS = 40 | X = 411 |
Calculate the sample variance for each of the three samples.
I | II | III |
s = | s = | s = |
Use an ANOVA with = .05 to determine whether there are any significant differences among the three treatment means.
Source | SS | df | MS | F | Fcriticalcritical |
---|---|---|---|---|---|
Between treatments | |||||
Within treatments | |||||
Total |
F Distribution
Numerator Degrees of Freedom = 6
Denominator Degrees of Freedom = 16
0.01.02.03.04.05.06.07.08.09.010.011.012.0F
Conclusion:
Reject the null hypothesis; there are significant differences among the three treatments.
Fail to reject the null hypothesis; there are no significant differences among the three treatments.
Reject the null hypothesis; there are no significant differences among the three treatments.
Fail to reject the null hypothesis; there are significant differences among the three treatments.
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