Skip to contents

For the binomial single sampling plan (n, c), P_A(p) = pbinom(c, n, p); AQL solves P_A = 1 - alpha and RQL solves P_A = beta (beta quantiles, Hedderich, Sachs & Reynarowych 2023, eq 7.17), and AOQL maximises p P_A(p) (N - n) / N (eq 7.18) by golden section.

Usage

accqlv(n, c, alpha = 0.05, beta_risk = 0.1, lot_size = NULL)

Arguments

n, c

Sample size and acceptance number.

alpha, beta_risk

Producer's and consumer's risks.

lot_size

Optional lot size N.

Value

Named list: aql, rql, aoql, p_aoql.

References

Montgomery, D. C. (2013). Introduction to Statistical Quality Control, ch. 15.

Examples

accqlv(46, 1, lot_size = 1000)
#> $aql
#> [1] 0.007780247
#> 
#> $rql
#> [1] 0.08194705
#> 
#> $aoql
#> [1] 0.01730556
#> 
#> $p_aoql
#> [1] 0.03450609
#>