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Part 6: 2-Way (Random Effects) ANOVA A study was conducted to measure the repeatability and reproduciblety of measurements of manufactured parts by operators. There were

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Part 6: 2-Way (Random Effects) ANOVA A study was conducted to measure the repeatability and reproduciblety of measurements of manufactured parts by operators. There were a = 12 parts, b = 3 operators, and each operator measured each part n = 4 on 4 occasions (replicates). In experiments such as these, both parts and operators are random factors. Obtain the Analysis of Variance Test How:0=0 H. :0.=0 HQ :0)= 0 Give Point estimates of each of the variance components Repeatability Variance is V{Repeatability} = V{}, give its estimate Part Variance is V{P} = V{a), give its estimate Reproducibleity Variance is V{Reproduciblety} = V{B} + ViaB), give its estimate Measurement System Variance is V{MS} = V{Reproduciblety} + V{Repeatability}, give its estimate Total Variance is V{T} = V{P} + V{MS), give its estimate %Reproduciblety and Repeatability = %R&R = 100*sqrt(V{MS)/V{T}), give its estimate

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