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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

For the preceding problem you should find that there are significant differences among the three treatments. The primary reason for the significance is that the mean for treatment III is substantially larger than the means for the other two treatments. To create the following data, we started with the values from problem 6 and subtracted 3 points to each score in treatment III. Notice that subtracting a constant causes the mean to change but has no influence on the variability of the sample. In the resulting data, the mean differences are much smaller than those in problem 6.

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a. Before you begin any calculations, predict how the change in the data should influence the outcome of the analysis. That is, how will the F-ratio and the value of η 2 for these data compare with the values obtained in problem 6?

b. Use an ANOVA with α = .05 to determine whether there are any significant differences among the three treatment means. (Does your answer agree with your prediction in part a?)

c. Calculate η 2 to measure the effect size for this study. (Does your answer agree with your prediction in part a?)

a.

To determine

To explain: How the change in the data will influence the outcome of analysis.

Explanation

As compared with problem ‘6E’, the mean value for the treatment is reduced from 8 to 5. This implies treatment difference also gets reduced...

b.

To determine
Whether there are any significant differences among the three treatments means using ANOVA with α=0.05.

c.

To determine
The value of effect size η2 for the given question.

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