Quality and Process Methods > Control Chart Builder > Statistical Details for Control Chart Builder > Control Limits for Individual Measurement and Moving Range Charts
Publication date: 05/24/2021

Control Limits for Individual Measurement and Moving Range Charts

Control limits for Individual Measurement charts are computed as follows:

LCL for Individual Measurement Chart = Equation shown here

UCL for Individual Measurement Chart = Equation shown here

Control limits for Individual Measurement charts with sigma estimated by the median moving range are computed as follows:

LCL for Individual Measurement Chart = Equation shown here

UCL for Individual Measurement Chart = Equation shown here

Control limits for Moving Range charts are computed as follows:

LCL for Moving Range Chart = Equation shown here

UCL for Moving Range Chart = Equation shown here

Control limits for Median Moving Range charts are computed as follows:

LCLMMR = max(0, MMR - Kd3(n)Equation shown here)

UCLMMR = MMR + Kd3(n)Equation shown here

The standard deviation for Individual Measurement and Moving Range charts is estimated as follows:

Equation shown here

The standard deviation for Individual Measurement and Moving Range charts when using the median is estimated as follows:

Equation shown here = MMR/0.954

where:

Equation shown here = the mean of the individual measurements

K = the sigma multiplier and is set to 3 by default

Equation shown here = the mean of the nonmissing moving ranges computed as (MR2+MR3+...+MRN)/(N-1) where MRi = |xi - xi-1|.

MMR = the median of the nonmissing moving ranges

σ = the process standard deviation

d2(n) = expected value of the range of n independent normally distributed variables with unit standard deviation.

d3(n) = standard deviation of the range of n independent normally distributed variables with unit standard deviation

Note: Moving Range charts in Control Chart Builder use a range span of n = 2.

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