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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? Treatment A Treatment B Treatment C 24 19 21 22 21 24 22 18 27 20 22 24 F-ratio =  p-value =  Conclusion: There is a significant difference between treatments These data do not provide evidence of a difference between the treatments η2=

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? Treatment A Treatment B Treatment C 24 19 21 22 21 24 22 18 27 20 22 24 F-ratio =  p-value =  Conclusion: There is a significant difference between treatments These data do not provide evidence of a difference between the treatments η2=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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?

Treatment A Treatment B Treatment C
24 19 21
22 21 24
22 18 27
20 22 24

F-ratio = 
p-value = 
Conclusion:

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

η2= 

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