Question: Suppose that ten parts are inspected by four operators 16 times apiece. Each inspection determines whether or not the item is conforming. The counts in the table below correspond to the numbers of "nonconforming" calls out of 16 inspections.
(b) What is the fraction of inconsistency in conforming/nonconforming calls that can be attributed to clear differences in how the operators judged the parts (differences in the binomial "nonconforming call probabilities" pj )? (Make your answer on the variance scale.)
(c) What is the estimated reproducibility variation (on the standard deviation scale)?
(d) What is the estimated repeatability variation (on the standard deviation scale)?
(e) For part 10, give a 90 % confidence interval for the difference (operator 1 minus operator 3) in probabilities of a nonconforming call. Does it appear the operators 1 and 3 have different probabilities of a nonconforming call on any one of the parts? Why?
(f) Compare operator 1 and operator 3 average "nonconforming" call rates using 90 % two-sided confidence limits for a mean difference.