pci (version 1.0.1)

C_pm: \(C_{pm}\)

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)

Value

double.

Arguments

mu

numeric.

sigma

numeric.

target

numeric. \(T\).

lsl

numeric.

usl

numeric.

dl

numeric. \(L\), conventionally set to 6. Must be greater than 0.

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