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Comparing the AIAG ANOVA method to the Variability method in JMP

The variance of the interaction of Appraiser by Part is calculated differently between AIAG ANOVA and JMP.

The AIAG formula reduces the Mean Square of the interaction by the Mean Square of equipment variation.  JMP uses the Mean Square of the Interaction with no reduction for repeatability.  In the formula below, r is the number of parts used for the MSA.

10595_AIAG Calculation.jpg

I am not a statistician, so I don't know why the AIAG formula reduces MSa*p by MSe.  My question is why does JMP not follow the AIAG methodology?

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