Question

consider the following table:

	ss	df	ms	f
error			622.89
total	8917.39	19

step 1 of 8: calculate the sum of squares among treatments. please round your answer to two decimal places.
answer
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Explanation:

Step1: Recall the relationship between sums of squares

The total sum of squares (SS Total) is the sum of the sum of squares among treatments (SS Among Treatments) and the sum of squares of error (SS Error), i.e., $SS_{Total}=SS_{Among Treatments}+SS_{Error}$.

Step2: Rearrange the formula to find SS Among Treatments

$SS_{Among Treatments}=SS_{Total}-SS_{Error}$. We know $SS_{Total} = 8917.39$. Also, the mean - square error (MS Error) and degrees of freedom for error (DF Error) are related to SS Error by $MS_{Error}=\frac{SS_{Error}}{DF_{Error}}$. We know $MS_{Error}=622.89$. First, we need to find DF Error. Since DF Total = 19 and DF Among Treatments = 8, then DF Error=DF Total - DF Among Treatments = 19 - 8=11. And $SS_{Error}=MS_{Error}\times DF_{Error}=622.89\times11 = 6851.79$.

Step3: Calculate SS Among Treatments

$SS_{Among Treatments}=8917.39 - 6851.79=2065.60$

Answer:

2065.60