optPlan: Optimal Acceptance Sampling Plan

In AccSamplingDesign: Acceptance Sampling Plans Design

Optimal Acceptance Sampling Plan

Description

Design optimal variable acceptance sampling plans based on specified parameters. Supports different distributions (binomial, normal, beta) and accommodates known or unknown standard deviation and process parameters.

Usage

optPlan(PRQ, CRQ, alpha = 0.05, beta = 0.10, USL = NULL, LSL = NULL,
        distribution = c("binomial", "poisson", "normal", "beta"),
        sigma_type = c("known", "unknown"),
        theta_type = c("known", "unknown"),
        sigma = NULL, theta = NULL)

Arguments

PRQ	Producer's risk quality level (e.g., acceptable quality level).
CRQ	Consumer's risk quality level (e.g., rejectable quality level).
alpha	Producer's risk (Type I error), default is 0.05.
beta	Consumer's risk (Type II error), default is 0.10.
USL	Upper Specification Limit. Required for variable sampling plans.
LSL	Lower Specification Limit. Required for variable sampling plans.
distribution	Distribution type used in the plan. Can be "binomial", "normal", or "beta".
sigma_type	Indicates if the standard deviation (sigma) is known or unknown.
theta_type	Indicates if the process parameter (theta) is known or unknown.
sigma	Known standard deviation of the process, if applicable.
theta	Known process parameter (e.g., mean), if applicable.

Details

This function designs optimal acceptance sampling plans by balancing producer's and consumer's risks under specified quality levels. It supports plans for attributes (binomial) and variables (normal or beta distributions), including cases with unknown standard deviation or distributional parameters.

Value

Returns a list or data frame with optimal sample size(s) and critical value(s) based on the specified parameters and distribution.

Author(s)

Ha Truong

Examples

# Example usage (normal distribution, known sigma):
optPlan(PRQ = 0.005, CRQ = 0.03, alpha = 0.05, beta = 0.10, 
        distribution = "normal", sigma_type = "known")

# Example usage (beta distribution, unknown theta):
optPlan(PRQ = 0.025, CRQ = 0.10, alpha = 0.05, beta = 0.10, 
        distribution = "beta", theta = 6.6e8, 
        theta_type = "unknown", LSL = 5.65e-6)

AccSamplingDesign documentation built on June 27, 2025, 1:08 a.m.