Acceptance sampling plan based on difference in difference estimator with application

Area of Science:

• Quality Control and Reliability Engineering
• Statistical Process Control
• Industrial Statistics

Background:

• Traditional acceptance sampling plans often assume known process parameters.
• Product life data frequently follows a normal distribution.
• The Difference-in-Difference estimator offers a robust framework for causal inference.

Purpose of the Study:

• To design a novel acceptance sampling plan based on the Difference-in-Difference estimator.
• To inspect product units with normally distributed lifetimes.
• To optimize sampling plan parameters by minimizing sample size.

Main Methods:

• Development of an acceptance sampling plan utilizing the Difference-in-Difference estimator.
• Analysis of the operating characteristic function for known and unknown standard deviation cases.
• Parameter determination through sample size minimization and optimization rules.
• Utilized R statistical programming software for computations.

Main Results:

• The proposed sampling plan effectively inspects products with normal distribution lifetimes.
• Operating characteristic functions were analyzed for both standard deviation scenarios.
• Tabulated results demonstrate plan performance across various quality level combinations.

Conclusions:

• The developed Difference-in-Difference-based acceptance sampling plan is efficient and effective.
• The plan provides a statistically sound method for quality inspection.
• Demonstrated real-world applicability through detailed case study.