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Probability question - Components of Variation study on a single use diagnostic test

Bev D

Bev D

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OK - I'm brain dead today. I have a probability question: I am performing a "Components of Variation" study on a single use diagnostic test. I have 3 lots of the test devices and 3 different QC testers. Each tester tests 3 devices from each of the 3 lots. What are the odds that 1 of the testers has mean value of the 10 devices that is always (3 out of 3 times) lower than the other two testers?
 
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Re: Probability question - Components of Variation study on a single use diagnostic t

Sounds kind of like a 3-sided die with 1-2-3: what is the probability that one tester would roll a 1 each time? I think it would be 1/3 x 1/3 x 1/3 or 1/27.
 
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