Question: For the preceding problem you should find that there are significant differences among the three treatments. One reason for the significance is that the sample variances are relatively small. To create the following data, we started with the values below and increased the variability (SS value) within each sample.

I II III

n=5 n=5 n=5

M=2 M=5 M=15

T=10 T=25 M=8 N=15

SS=64 SS=80 SS=96 ΣX squared=705

1. Calculate the sample variance for each of the three samples. Descrive how these sample variances compare with those from problem 9.
2. Predict how the increase in sample variance should influence the outcome of the analysis. That is, how will the F-ratio for these data compare with the value obtained in problem 9?
3. Use an ANOVA with a( alpha)=.05 to determine whether there are any significant differences among the three treatment means. (Does your answer agree with you prediction of part b?)

( reference question for 10: The following data summarize the results from an independent-measures study comparing three treatment conditions.

I II III

n=5 n=5 n=5

M=2 M=5 M=8 N=15

T=10 T=25 M=8 G=75

SS=16 SS=20 SS=24 ΣX squared=525

1. Calculate the sample variance for each of the three samples
2. Use an ANOVA with a(alpha)=.05 to determine whether there are significant differences among the three treatment means)

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