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Unformatted text preview: STANDARD DEVIATIONS FOR GROUPS AND FOR ANOVA People are sometimes mixing two different important things. The first one is the standard deviation of the sample used in STA2023 (the notations used in STA2023 was S or s .) The notation I will be using in this course is to emphasize that is it the estimate of the population standard deviation ( is the unknown population parameter which is estimated by from the sample. ) The second one is the population standard deviation estimate from the ANOVA model, which unfortunately uses exactly the same notation . This ? MS E is also supposed to be the estimate of the population standard deviation . The first one. Let us consider an example. We have a sample that consists of four ele ments p 3 , 4 , 1 , q then X 1 3 ,X 2 4 ,X 3 1 and X 4 . The sample mean is X 2 (please see Review 1 for details.) Then our sample standard deviation looks like. d 1 n 1 n i 1 p X i X q 2 For our sample we have g f f e 1 4 1 4 i 1 p X i X q 2 c 1 3 p 3 2 q 2 p 4...
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This note was uploaded on 01/08/2012 for the course STA 3024 taught by Professor Ta during the Summer '08 term at University of Florida.
 Summer '08
 TA
 Statistics, Standard Deviation

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