A recent study indicates that simply giving college students a pedometer can result in increased walking (Jackson & Howton, 2008). Students were given pedometers for a 12week period, and asked to record the average number of steps per day during weeks 1, 6, and 12. The following data are similar to the results obtained in the study.
Number of steps (x1000)  
Week  
Participant  1  6  12  P  
A  6  8  10  24  
B  4  5  6  15  
C  5  5  5  15  G = 72 
D  1  2  3  6  ΣX^{2}= 400 
E  0  1  2  3  
F  2  3  4  9  
T = 18  T= 24  T =30  
SS= 28  SS= 32  SS = 40 
a.
To use: Repeated measures ANOVA with
Given info:
The results regarding number of steps of college students after receiving pedometer is given:
Participant  Week 


1  6  12  








Calculation:
Step 1:
The null and alternative hypotheses are:
Null hypothesis:
Where
Alternate hypothesis:
Step 2:
First stage:
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,
The total sum of squares is:
The within treatment sum of squares is:
The within treatment sum of squares is:
Thus, here,
Second stage:
Compute the values of between subject sum of squares and sum of squares due to error.
The between subject sum of squares is:
b.
To compute: The value of
c.
To write: The results in from of a report.
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