The interpretation of the fundamental identity SST=SSTr+SSE is an important aid

Question

The interpretation of the fundamental identity SST=SSTr+SSE is an important aid in understanding ANOVA. Each measures some aspect of variation. If SST is a measure of the total variation in the data-that is, the sums of all squared deviations about the grand mean and SSE measures the variation unexplained by the status of any null hypothesis, what does SSTr signify?

a - the amount of variation that can be explained by the null hypothesis

b - the amount of variation that can be explained by possible differences in means

c - the amount of variation absent in the ANOVA

d - The amount of mean square variation present in the ANOVA

Explanation / Answer

In nul hypothesis treatments are equally effective. To test we need to calculate SSH0 and which is SSTr.

And hence answer is a - the amount of variation that can be explained by the null hypothesis

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