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Acceptance sampling plan based on difference in difference estimator with application.

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This study introduces a new acceptance sampling plan using the Difference-in-Difference estimator for normally distributed product life. The plan minimizes sample size while ensuring quality standards for known and unknown standard deviations.

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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.