The following data were obtained in a study using three separate samples to compare three different treatments. Conduct an analysis of variance with α=0.05 to determine whether these data are sufficient to conclude that there are significant differences between the treatments.Treatment ATreatment BTreatment C231922222124221926212124F-ratio = p-value = Conclusion:These data do not provide evidence of a difference between the treatmentsThere is a significant difference between treatmentsη2=η2= The above data was changed by increasing the variance within each sample (note below how the data sets have changed).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 ATreatment BTreatment C241921222124221827202224F-ratio = p-value = Conclusion:There is a significant difference between treatmentsThese data do not provide evidence of a difference between the treatmentsη2=

Null and alternative hypothesis: Ho: µ1 = µ2 = µ3 (All means are equal) Ha: Not all means are…

Answered: The following data were obtained in a…

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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Question

The following data were obtained in a study using three separate samples to compare three different treatments. Conduct an analysis of variance with α=0.05 to determine whether these data are sufficient to conclude that there are significant differences between the treatments.

Treatment A	Treatment B	Treatment C
23	19	22
22	21	24
22	19	26
21	21	24

F-ratio =
p-value =
Conclusion:

These data do not provide evidence of a difference between the treatments
There is a significant difference between treatments

η2=η2=

The above data was changed by increasing the variance within each sample (note below how the data sets have changed).

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?