Timeline for How to justify the error term in factorial ANOVA?
Current License: CC BY-SA 3.0
12 events
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| Feb 16, 2018 at 21:39 | comment | added | amoeba | Hey @caracal, nice to see such an old answer suddenly accepted! :-) Cheers. | |
| Feb 16, 2018 at 19:34 | vote | accept | caracal | ||
| Jan 9, 2015 at 11:08 | answer | added | amoeba | timeline score: 5 | |
| Jan 9, 2015 at 11:01 | history | edited | amoeba | CC BY-SA 3.0 |
made the title more precise + syntax highlighting
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| Nov 12, 2011 at 3:56 | answer | added | CDX | timeline score: 0 | |
| Nov 11, 2011 at 23:39 | answer | added | gung - Reinstate Monica | timeline score: 2 | |
| Nov 7, 2011 at 13:34 | comment | added | caracal |
@MikeWierzbicki You're right in that if the full model contains only IV1 (1st example), then the two expressions for the denominator are identical. However, when the full model contains additional effects, the denominator for testing $A$ changes even though the model comparison (~ 1 vs. ~ IV1 + 1 for type 1 SS) does not. In the 3 examples, the mean square for $A$ does not change (same model comparison in all cases), but the mean square error does. I'm interested in what justifies the changing error term when the actual comparison stays the same.
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| Nov 5, 2011 at 20:55 | comment | added | user5594 |
I may just be confused with your question, but for testing the effect of $A$ with Type 1 SS, the denominator is the one you have in your second expression. The F-value in the output from running anova(lm(DV ~ IV1)) is calculated via your second expression. That is, if you ran anova(lm(DV ~ 1)) and anova(lm(DV ~ IV1)) and plugged the corresponding values into your second expression, you get $F=0.9342$. Let me know if I'm completely missing your concern.
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| Oct 20, 2011 at 19:06 | history | tweeted | twitter.com/#!/StackStats/status/127098280491483136 | ||
| Oct 20, 2011 at 18:00 | history | edited | caracal | CC BY-SA 3.0 |
deleted 150 characters in body
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| Oct 20, 2011 at 14:23 | history | edited | user88 | CC BY-SA 3.0 |
edited title
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| Oct 20, 2011 at 13:38 | history | asked | caracal | CC BY-SA 3.0 |