hypersampleplan.fixedn: Attribute sampling plans when the sample size n is known and...

In hypersampleplan: Attribute Sampling Plan with Exact Hypergeometric Probabilities using Chebyshev Polynomials

Description

Attribute sampling is an important field of statistical quality control. When a lot is submitted for inspection, a sampling plan must specify both the number of samples to be drawn from the lot as well as the acceptance number which is the maximum number of defective items found in the sample that would still make the lot acceptable. Since the sample is not free of defective, there are probabilities of accepting a lot which is actually not acceptable and of rejecting one which is acceptable. The hypergeometric distribution using Chebyshev Polynomials forms the basis for calculating those exact probabilities.

This program is designed to compute the acceptance number c when the sample size n is known and fixed.

Usage

hypersampleplan.fixedn(a, b, k1, k2, n, N)

Arguments

a	Producer's risk alpha: the probability of rejecting a lot for proportion defective
b	Consumer's risk beta: the probability of accepting a lot for proportion defective
k1	Number of defective units in a satisfactory quality level;
k2	Number of defective units in an unsatisfactory quality level;
n	Fixed sample size
N	Lot Size

Value

a matrix that contain the acceptance number c (number of defective units allowed in a lot which is accepted) in the row of sampling.plan.X.

References

Alvo, M., & Cabilio, P. (2000). Calculation of hypergeometric probabilities using Chebyshev polynomials. The American Statistician, 54(2), 141-144.

Odeh, R. (1983). Attribute sampling plans, tables of tests and confidence limits for proportions (Vol. 49). CRC Press.

See Also

hypersampleplan

Examples

# For the attribute sampling plan with fixed sample size n
hypersampleplan.fixedn(0.01, 0.10, 40, 80, 307, 1000)

Example output

                          n  c       alpha k2       beta
sampling.plan.parameter 307 40 0.010000000 80 0.10000000
sampling.plan.X         307 19 0.007168896 80 0.09870234

hypersampleplan documentation built on May 2, 2019, 9:12 a.m.