Control limits for Individual Measurement charts are computed as follows.
LCL for Individual Measurement Chart =
UCL for Individual Measurement Chart =
Control limits for Individual Measurement charts with sigma estimated by the median moving range are computed as follows.
LCL for Individual Measurement Chart =
UCL for Individual Measurement Chart =
Control limits for Moving Range charts are computed as follows.
LCL for Moving Range Chart = 0
UCL for Moving Range Chart =
Control limits for Median Moving Range charts are computed as follows.
LCLMMR = max(0, MMR - kd3(n))
UCLMMR = MMR + kd3(n)
The standard deviation for Individual Measurement and Moving Range charts is estimated by:
The standard deviation for Individual Measurement and Moving Range charts when using the median is estimated by:
= MMR/0.954
where:
= the mean of the individual measurements
= 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 observations from a normal population with unit standard deviation.
Note: Moving Range charts in Control Chart Builder use a range span of n=2.