Quantifying the Effect of Excessive Within-Part Variation

I

Iniko

#1
Hello,
I was trying to use the Average and Range method as described in the “Quantifying the Effects of Excessive Within-Part Variation” with one appraiser (because it’s an automated tester where the operator doesn’t interfere with the readings), 16 unit sample and two trials, in every trial each unit was tested twice so I have a minimum and maximum reading for each unit, in both trials.

I estimated the constants as follows: K1 = 0.87083, K3 =0.2770, I omitted the K2 since I don’t need to calculate the Reproducibility. I’d like to know if I’m correct about these estimations of K1 and K3.

The other thing that I’d like to know is how to calculate the “EVwiv“ term, used in the WIV calculation. Given the K1, I don’t see how to calculate the other term.

Thanks a lot, in advance.
 

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#2
Your K1 = .8862 because you are measuring in two trials. This is not dependent on the min/max measures. Your estimate of K3 appears to be very close.

NWIV = 1 since you only have one appraiser.
RdoubleBar WIV appears to be a misprint and should read Rbar WIV .

Note: It has been a while, but I remember finding a mathematical error in this article before. I duplicated the spreadsheet in Excel and double checked the math in Minitab. My results differed slightly from this article, and the error appear to be in the article.

I will look it up tomorrow and get back with you on it.
 
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