Question

In: Statistics and Probability

The following summary table presents the results from an ANOVA comparing four treatment conditions with n=10 participants in each condition.

The following summary table presents the results from an ANOVA comparing four treatment conditions with n=10 participants in each condition. Complete all the values. (3pts)

Source

SS

Df

MS

F

Between treatments

?

?

10

?

Within treatments

?

?

?

 

Total

174

?

   

Solutions

Expert Solution

k = 4 Number of treatments    
Thus, Treatment DF = 4 - 1 = 3     
n = 10 participants in each condition     
Thus, N = total participants = 10 * 4 = 40     
Tota Df = N - 1 = 40 - 1 = 39     
Within Treatments Df = Total Df - Between treatments Df     
             = 39 - 3 = 36    
MS = SS/Df     
Thus, SS = MS * Df     
Between treatments SS = Between Treatments MS * Between treatments Df     
               = 10 * 3 = 30    
Within Treatments SS = Total SS - Between treatments SS     
            = 174 - 30 = 144    
Within treatments MS = Within treatments SS/Within treatments Df     
             = 144 / 36 = 4    
     
F-value = MS between treatment/MS within treatments = 10/4 = 2.5     
Filled up table is given below :     

Source SS Df MS F
Between Treatments 30 3 10 2.5
Within Treatments 144 36 4
Total 174 39

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