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Simple, defensible sample sizes based on cost efficiency.

Peter Bacchetti1, Charles E McCulloch, Mark R Segal

  • 1Division of Biostatistics, Department of Epidemiology and Biostatistics, University of California, San Francisco, California 94143-0560, USA. peter@biostat.ucsf.edu

Biometrics
|May 17, 2008
PubMed
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This study introduces cost-efficient sample size selection methods, moving beyond traditional power calculations. These new approaches balance study value against costs for optimal resource allocation in research.

Area of Science:

  • Biostatistics
  • Research Methodology
  • Health Economics

Background:

  • Traditional sample size determination often overlooks cost-effectiveness.
  • Real-world research is constrained by budget limitations for investigators and funders.
  • The 80% power standard may not align with practical resource allocation.

Purpose of the Study:

  • To propose and justify novel sample size selection strategies based on cost efficiency.
  • To offer alternatives to conventional methods that ignore economic implications.
  • To optimize the ratio of projected study value to total cost.

Main Methods:

  • Defined cost efficiency as the ratio of projected study value to total cost.
  • Demonstrated diminishing marginal returns of study value with increasing sample size.

Related Experiment Videos

  • Proposed two cost-efficient sample size choices: minimizing average cost per subject or minimizing total cost divided by the square root of sample size.
  • Main Results:

    • The proposed methods offer defensible, more cost-efficient alternatives to larger sample sizes.
    • Minimizing average cost per subject is one cost-efficient strategy.
    • Minimizing total cost divided by the square root of sample size is theoretically superior for innovative studies and performs well generally.

    Conclusions:

    • The new sample size selection methods are practical, reliable, and well-justified.
    • These approaches provide acceptable alternatives to conventional power-based calculations.
    • Implementing cost-efficiency in sample size selection can lead to better resource utilization in research.