Model Type III Sum of Squares [General Sta­tis­tics]

posted by ElMaestro  – Belgium?, 2018-12-21 03:49  – Posting: # 19702
Views: 2,071

Hello obi,

» » Type III SS for a factor A is essentially the SS for A given B and C in the model. I guess you might refer to that as SS(A|B∩C),
»
» OK, so that implies that Type III for factor B and C becomes SS(B|A∩C) and SS(C|A∩B) respectively?

This would be my best guess yes, but please do not rely on anything I say in relation to anything. Or suffer the consequences :-D

» How about Type I SS for factors A, B and C (in that order)? Would it be SS(A), SS(B|A) and SS(C|A∩B) respectively?

As above.

» OK that's true. This could possibly be part of the reason why Type I and type III SS are not the same even in a balanced BE design.

Please explain. When there is balance then the type I and type III SS should be the same in these BE trials, shouldn't they? Your Venn diagram should in my expectation have no overlapping circles.

I could be wrong, but...
Best regards,
ElMaestro

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