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I read gung's answer to "How to interpret type I, type II, and type III ANOVA and MANOVA?".

Instead of messing with R I'd like to just create my own linear model in a spreadsheet. The problem is that I understood what is SS(something|something) on an intuitive level, but not on a mathematical level. I don't know the formulas.

What I'm looking for is instructions on how to calculate SS(something|something) where something can be a simple effects, an interaction of 2 simple effects, an interaction of a lot of simple effects, or any set thereof (eg., 3 simple effects and the combinations of all of them), in the most general way possible.

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Rintil
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  • These formulas should be in any introductory statisitcs textbook that covers ANOVA. Try Applied Linear Statistical Models (McGraw-Hill/Irwin Series Operations and Decision Sciences) 5th Edition. – StatsStudent Jan 10 '17 at 08:32
  • Do you know how do you read them by English names instead of symbols? So I could search the web. I'm not a native English speaker. – Rintil Jan 10 '17 at 08:44
  • I'm not quite sure I understand what you mean. Are you trying to find out you would say "SS(A|A*B)" in English words for example? If so, this is simply "The sum of squares of A given the interaction of A and B). I'm not sure you will have much luck searching the web on these terms though. This might be of help to you, however: https://books.google.com/books?id=tvNZ6A7bvbQC&pg=PA417&lpg=PA417&dq=SS(A%7CA*B)+interaction&source=bl&ots=UkFY4Uv13d&sig=rZOufYZQ0z7ixypK6dfcCYhcAbg&hl=en&sa=X&ved=0ahUKEwin2KLwmrfRAhVD7yYKHb88B5sQ6AEILTAD#v=onepage&q=SS(A%7CA*B)%20interaction&f=false. – StatsStudent Jan 10 '17 at 09:04
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    "Are you trying to find out you would say…" Yes, that was it. – Rintil Jan 10 '17 at 09:56

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