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Related Concept Videos

Sample Size Calculation01:19

Sample Size Calculation

Knowledge of the sample size is the first requirement to conduct random sampling or an experiment. The sample size is the total number of units, observations, or groups (in some cases) used to get the data to estimate a population parameter. As the name suggests, the sample size is that of the sample drawn from the population and differs from the population size.
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High-throughput and Comprehensive Drug Surveillance Using Multisegment Injection-Capillary Electrophoresis-Mass Spectrometry
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Representative drug sampling: sample size calculations revisited.

Jos J A M Weusten1

  • 1DSM Resolve, The Maastricht Forensic Institute, PO Box 18, 6160 MD Geleen, The Netherlands. Jos.weusten@DSM.com

Journal of Forensic Sciences
|February 24, 2011
PubMed
Summary
This summary is machine-generated.

This study improves drug consignment testing by incorporating consignment size into Bayesian analysis. A new betabinomial model offers more accurate sample size calculations than current approximations.

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Area of Science:

  • Pharmacology
  • Statistics
  • Forensic Science

Background:

  • Bayesian methods are used for determining sample sizes in drug consignment testing.
  • Existing methods, based on Aitken's work, do not fully utilize the finite nature of consignments.
  • This limitation can lead to suboptimal sample size calculations.

Purpose of the Study:

  • To develop an improved Bayesian approach for calculating sample sizes for drug consignment testing.
  • To systematically incorporate the finite consignment size into the statistical model.
  • To provide more accurate sample size recommendations compared to existing approximations.

Main Methods:

  • Derived a betabinomial prior distribution incorporating consignment size.
  • Utilized a hypergeometric likelihood function for sampling without replacement.
  • Developed a new approximation for sample size calculations based on the betabinomial posterior distribution.

Main Results:

  • The betabinomial posterior distribution was found to be mathematically identical to the predictive distribution.
  • The existing large consignment approximation can be derived from the betabinomial posterior.
  • The new approximation demonstrates superior accuracy compared to the large consignment approximation.

Conclusions:

  • The proposed betabinomial model provides a more accurate method for determining sample sizes in drug consignment testing.
  • Incorporating consignment size systematically improves the precision of sample size calculations.
  • The new approximation offers better performance than current methods, especially for smaller consignments.