Sum of squares

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Tags: Statistics Statistical units

Type I (aka Hierarchical SS)

Type I, or hierarchical sum of squares, considers effects in a hierarchy. For example, the main effect of factor A may be considered of prime importance, followed by B, etc. So, factor A gets allotted all the variation attributable to A, including the parts that overlap with B and so on.

Choose Type I if and only if it’s obvious that Factor A has an effect on B but not vice versa.

Type III (aka Unique SS)

Allots only parts of variation to a particular effect that do not overlap with any other effects.



References