Quality and Process Methods > Measurement Systems Analysis > Statistical Details for Measurement Systems Analysis
Publication date: 05/24/2021

Statistical Details for Measurement Systems Analysis

For more information about the calculations of the limits used in the Range Chart, see Control Limits for XBar and R Charts. For more information about the calculations of the limits used in the Standard Deviation Chart, see Control Limits for XBar and S Charts.

Computation of Intraclass Correlation and Probable Error

Intraclass Correlation without bias is computed as follows:

Equation shown here

Intraclass Correlation with bias is computed as follows:

Equation shown here

Intraclass Correlation with bias and interaction factors is computed as follows:

Equation shown here

Probable Error is computed as follows:

Equation shown here

Note the following:

Equation shown here = variance estimate for pure error

Equation shown here = variance estimate for product

Equation shown here = variance estimate for bias factors

Equation shown here = variance estimate for interaction factors

Z0.75 = the 75% quantile of standard normal distribution

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