The following data are from an experiment comparing three different treatment conditions:
A  B  C  
0  1  2  N = 15 
2  5  5  ΣX^{2} = 354 
1  2  6  
5  4  9  
2  8  8  
T = 10  T = 20  T = 30  
SS = 14  SS = 30  SS = 30 
a.
To find: The significance of mean difference using independent measures ANOVA with
Given info: The data is given is question
A  B  C 












Calculation:
Step 1:
The null and alternative hypotheses are:
Null hypothesis:
Where
Alternate hypothesis:
Step 2:
Compute the degrees of freedom (df) for the between treatment effects, within treatment effects and total and corresponding sum of squares (SS).
Now, it is known that, for a given sample size, the degrees of freedom (df) is:
Thus,
The number of treatments,
As within treatments degrees of freedom,
With
Step 3:
Compute Fratio.
The total sum of squares is:
The within treatment sum of squares is:
The within treatment sum of squares is:
b.
To find: The significance of mean difference using repeated measures ANOVA with
c.
To find: Why the results of analysis different in part (a) and part (b)
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