On Wed, 22 Feb 2012 05:52:37 -0800, Marc Carter wrote: >Hi, all -- >I fear this to be a really stupid question, but... > >In ANOVA, why are the squared deviations in the SS between groups scaled >(multiplied) by _n_? I was once told it was to weight them, but that somehow >doesn't seem right. > >Can someone help?
Just to add to what others have said, take a look at the attached PDF that is Table 15.3 from Glass & Hopkins (3rd ed; 1996). It lays out the components for a one-way independent groups ANOVA graphically and numerically. The numerator of the F ratio estimates the population variance by using the variance error of the mean (i.e., the variance of the sampling distribution of means; the square of the standard error of the mean) and multiplying it by N -- remember that the variance error of the mean is equal to the population variance divided by N. -MIke Palij New York University [email protected] --- You are currently subscribed to tips as: [email protected]. To unsubscribe click here: http://fsulist.frostburg.edu/u?id=13090.68da6e6e5325aa33287ff385b70df5d5&n=T&l=tips&o=16212 or send a blank email to leave-16212-13090.68da6e6e5325aa33287ff385b70df...@fsulist.frostburg.edu
G&H-Fig15-03-ANOVA Layout.pdf
Description: Adobe PDF document
