The following data represent the results from an independent-measures experiment comparing three treatment conditions. Conduct an analysis of variance with α=0.05α=0.05 to determine whether these data are sufficient to conclude that there are significant differences in the means for the treatments. Treatment A Treatment B Treatment C 16 16 17 15 16 21 15 15 19 15 19 23 14 14 20 F-ratio (F-test statistic) = p-value = Conclusion: There is a significant correlation in the treatments I was able to show the treatments are independent The data does not provide evidence of a significant correlation for the treatments The data does not provide evidence of a significant difference in the means for the treatments I was unable to show the treatments are independent There is a significant difference in the means for the treatments The results obtained above were primarily due to the mean for the third treatment being noticeably different from the other two sample means. For the following data, the scores are the same as above except that the difference between treatments was reduced by moving the third treatment closer to the other two samples. In particular, 3 points have been subtracted from each score in the third sample. Before you begin the calculation, predict how the changes in the data should influence the outcome of the analysis. That is, how will the F-ratio for these data compare with the F-ratio from above? Treatment A Treatment B Treatment C 16 16 14 15 16 18 15 15 16 15 19 20 14 14 17 F-ratio (F-test statistic) = p-value =

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following data represent the results from an independent-measures experiment comparing three treatment conditions. Conduct an analysis of variance with α=0.05α=0.05 to determine whether these data are sufficient to conclude that there are significant differences in the means for the treatments.

Treatment A	Treatment B	Treatment C
16	16	17
15	16	21
15	15	19
15	19	23
14	14	20

F-ratio (F-test statistic) =
p-value =
Conclusion:

There is a significant correlation in the treatments
I was able to show the treatments are independent
The data does not provide evidence of a significant correlation for the treatments
The data does not provide evidence of a significant difference in the means for the treatments
I was unable to show the treatments are independent
There is a significant difference in the means for the treatments

The results obtained above were primarily due to the mean for the third treatment being noticeably different from the other two sample means. For the following data, the scores are the same as above except that the difference between treatments was reduced by moving the third treatment closer to the other two samples. In particular, 3 points have been subtracted from each score in the third sample.

Before you begin the calculation, predict how the changes in the data should influence the outcome of the analysis. That is, how will the F-ratio for these data compare with the F-ratio from above?

Treatment A	Treatment B	Treatment C
16	16	14
15	16	18
15	15	16
15	19	20
14	14	17

F-ratio (F-test statistic) =
p-value =

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