C_pm: C_{pm}

In pci: A Collection of Process Capability Index Functions

C_{pm}

Description

C_{pm} = \frac{\text{USL} - \text{LSL}}{L \sqrt{\sigma^2 + (\mu - T)^2}}

Only vectors of length 1 are recycled.

NA's take precedence over NaN's, e.g. NaN + NA will output NA.

Yields NaN if sigma == 0 and mu == target.

Usage

C_pm(mu, sigma, target, lsl, usl, dl)

Arguments

mu	numeric.
sigma	numeric.
target	numeric. T.
lsl	numeric.
usl	numeric.
dl	numeric. L, conventionally set to 6. Must be greater than 0.

Value

double.

References

Montgomery, D. C. (2019). Introduction to statistical quality control (8th ed.). Wiley. ISBN: 978-1-119-39930-8

Examples

set.seed(1L)
data = rnorm(n = 30L, mean = 3., sd = 1.)
C_pm(mu = mean(data), sigma = sd(data), target = 3., lsl = 0., usl = 6., dl = 6.)
# [1] 1.077827

pci documentation built on June 22, 2024, 10:31 a.m.