In an analysis of variance problem if SST (or TSS) = 120 and SSTR (or BSS)= 80, then SSE (or WSS) isGroup of answer choices8020040120
Question
In an analysis of variance problem if SST (or TSS) = 120 and SSTR (or BSS)= 80, then SSE (or WSS) is
Group of answer choices
- 80
- 200
- 40
- 120
Solution
In an analysis of variance (ANOVA), the total sum of squares (SST or TSS) is partitioned into the sum of squares due to regression (SSTR or BSS) and the sum of squares due to error (SSE or WSS).
The relationship between these quantities is given by the equation:
SST = SSTR + SSE
Given that SST = 120 and SSTR = 80, we can substitute these values into the equation to find SSE:
120 = 80 + SSE
By subtracting 80 from both sides of the equation, we get:
SSE = 120 - 80 = 40
So, the sum of squares due to error (SSE or WSS) is 40.
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