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Related Experiment Videos

Sampling--how big a sample?

C G Aitken1

  • 1Department of Mathematics and Statistics, University of Edinburgh, United Kingdom. cgga@maths.ed.ac.uk

Journal of Forensic Sciences
|August 5, 1999
PubMed
Summary
This summary is machine-generated.

This study compares methods for determining sample size when inspecting consignments for illegal material. The beta and beta-binomial distributions offer more flexible and intuitive interpretations for sample size determination compared to traditional methods.

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Area of Science:

  • Statistical modeling
  • Quality control
  • Forensic science

Background:

  • Consignments often contain a proportion of units with illegal material.
  • Sampling is crucial for inspecting these units.
  • Existing methods for sample size determination have limitations.

Purpose of the Study:

  • To compare various sample size determination methods.
  • To introduce and evaluate the beta and beta-binomial distributions for this purpose.
  • To provide more flexible and intuitively satisfactory interpretations.

Main Methods:

  • Utilized the beta distribution for large consignments, incorporating prior beliefs.
  • Employed the beta-binomial distribution for small consignments, also incorporating prior beliefs.

Related Experiment Videos

  • Compared these distributions with binomial and hypergeometric approaches.

    • Main Results:

    • Beta distribution provides probabilities for the proportion of illegal material based on sample results.
    • Beta-binomial distribution models the number of illegal units in small consignments.
    • Both beta and beta-binomial distributions offer greater flexibility and intuitive interpretation.

    Conclusions:

    • The beta and beta-binomial distributions provide superior methods for sample size determination.
    • These distributions cater to varying prior beliefs and circumstances.
    • They enable the determination of minimum sample sizes based on specified criteria.