The following data represents results from an experiment comparing 3 treatment conditions for the cure of boredom. Treatment 1 is doing schoolwork, Treatment 2 is watching tv, and Treatment 3 is spending time with friends. The following scores represent treatment effectiveness scores where higher values indicate that the treatment of boredom was effective and lower values indicate that the treatment of boredom was ineffective. Treatment 1 Treatment 2 Treatment 3 0 1 6 N= 12 1 4 5 GM= 3.00 0 1 8 3 2 5 ––––––––––––––––––––––––––––––––––––– M= 1 M= 2 M= 6 n= 4 n= 4 n= 4 SS = 6 SS = 6 SS = 6 Use an ANOVA with α = .05 to determine whether there are significant differences between treatments. a) What type of ANOVA should be conducted? b) Find the cutoff F-value: c) Calculate the necessary Sum of Squares (SS). SSbetween= SSwithin= d) Calculate the F statistic (remember to compute degrees of freedom). e) What can you conclude?
The following data represents results from an experiment comparing 3 treatment conditions for the cure of boredom. Treatment 1 is doing schoolwork, Treatment 2 is watching tv, and Treatment 3 is spending time with friends. The following scores represent treatment effectiveness scores where higher values indicate that the treatment of boredom was effective and lower values indicate that the treatment of boredom was ineffective.
Treatment 1 Treatment 2 Treatment 3
0 1 6 N= 12
1 4 5 GM= 3.00
0 1 8
3 2 5
–––––––––––––––––––––––––––––––––––––
M= 1 M= 2 M= 6
n= 4 n= 4 n= 4
SS = 6 SS = 6 SS = 6
Use an ANOVA with α = .05 to determine whether there are significant differences between treatments.
a) What type of ANOVA should be conducted?
b) Find the cutoff F-value:
c) Calculate the necessary Sum of Squares (SS).
SSbetween=
SSwithin=
d) Calculate the F statistic (remember to compute degrees of freedom).
e) What can you conclude?
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