pci (version 1.0.1)

C_pl: \(C_{pl}\)

Description

$$C_{pl} = \frac{\mu - \text{LSL}}{L \sigma}$$

Note. This function allows for negative \(C_{pl}\) values.

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 equals 0.

Usage

C_pl(mu, sigma, lsl, l)

Value

double.

Arguments

mu

numeric.

sigma

numeric.

lsl

numeric.

l

numeric. Conventionally set to 3. Must be greater than 0.

References

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

See Also

C_pu(), C_pk()

Examples

set.seed(1L)
data = rnorm(n = 30L, mean = 3., sd = 1.)
C_pl(mu = mean(data), sigma = sd(data), lsl = 0., l = 3.)
# [1] 1.111853