pci (version 1.0.1)

C_pu: \(C_{pu}\)

Description

$$C_{pu} = \frac{\text{USL} - \mu}{L \sigma}$$

Note. This function allows for negative \(C_{pu}\) 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_pu(mu, sigma, usl, l)

Value

double.

Arguments

mu

numeric.

sigma

numeric.

usl

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_pl(), C_pk()

Examples

set.seed(1L)
data = rnorm(n = 30L, mean = 3., sd = 1.)
C_pu(mu = mean(data), sigma = sd(data), usl = 6., l = 3.)
# [1] 1.052367