Question

consider the following table:

	ss	df	ms	f
error	?		626.7
total	12825.12	18

step 2 of 8: calculate the sum of squares of experimental error. 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 experimental error (SS Error). That is, $SS_{Total}=SS_{Among Treatments}+SS_{Error}$.

Step2: Rearrange the formula to solve for SS Error

$SS_{Error}=SS_{Total}-SS_{Among Treatments}$.
We know that $SS_{Total} = 12825.12$ and since the degrees - of - freedom among treatments $DF_{Among Treatments}=6$ and mean square among treatments $MS_{Among Treatments}=884.12$, we can find $SS_{Among Treatments}=DF_{Among Treatments}\times MS_{Among Treatments}=6\times884.12 = 5304.72$.

Step3: Calculate SS Error

$SS_{Error}=12825.12 - 5304.72=7520.40$.

Answer:

7520.40