I give a tutorial (in the form of two heavily annotated computer 
programs) that illustrates a simple general matrix algebra ap-
proach to computing sums of squares in unbalanced (and balanced) 
analysis of variance.  The tutorial is in terms of Yates' ap-
proach to visualizing such computations.  (The programs are writ-
ten in SAS IML, but one need not understand SAS or IML to under-
stand the tutorial.)  The tutorial is available at

                  http://www.matstat.com/ss/

-------------------------------------------------------
Donald B. Macnaughton   MatStat Research Consulting Inc
[EMAIL PROTECTED]      Toronto, Canada
-------------------------------------------------------


Brian A. Bucher wrote (on 00/8/22)
> Bob Wheeler ([EMAIL PROTECTED]) wrote:
>: If you just want an answer, use a statistical
>: package such as MiniTab. This ensures that the
>: computations will at least be correct, and that
>: you will be provided with the appropriate error
>: estimates.
>
> Well, at the same time I want an answer I also want
> to learn the basic mechanics and have a general
> understanding of what I'm doing.  Since there's a
> tradeoff between spending my time learning details
> about DOEs/stats and working on my other projects,
> it becomes an optimization task in itself! :)
>
>: If you must do it yourself, perhaps the best thing
>: for you and for this particular problem is to use
>: Yates' algorithm. It should be described in BH&H,
>: but if not, you will find it in many other
>: statistical texts.
>
> Thanks for the info!
>
> Brian
>
>: Brian A Bucher wrote:
>:> 
>:> I'd like to learn how to analyze a 4-factor, 2-level full-
>:> factorial (and maybe fractional factorial) designs.  My op-
>:> tions at this moment are:
>:> 1. Use Excel
>:> 2. Learn and use R
>:> 
>:> Could someone give me an estimate on how much time it will
>:> take for me to accomplish either of these?  I'm presently
>:> reading/reviewing Statistics for Experimenters by Box,
>:> Hunter, Hunter.
>:> 
>:> Thanks for any info,
>:> Brian


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