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Complexities in power analysis: Quantifying uncertainties with a Bayesian-classical hybrid approach.

Jolynn Pek1, Joonsuk Park1

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This summary is machine-generated.

Traditional power analysis often oversimplifies study feasibility. A new Bayesian-classical hybrid approach incorporates uncertainties for more realistic power estimates and sample size determination.

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Area of Science:

  • Statistics
  • Psychology
  • Research Methodology

Background:

  • Power analysis is crucial for study feasibility and sample size justification.
  • Mainstream power analysis methods are often oversimplified and do not reflect real-world data analysis complexities.

Purpose of the Study:

  • To highlight the complexities of power analysis when accounting for data analysis uncertainties.
  • To introduce a Bayesian-classical hybrid approach for more realistic power estimation.
  • To compare power estimates from the hybrid method with traditional and Bayesian approaches.

Main Methods:

  • A Bayesian-classical hybrid approach is proposed to incorporate epistemic uncertainty, sampling variability, and model approximation uncertainty.
  • The method's power estimates are juxtaposed with traditional (frequentist) and Bayesian methods.
  • An example from lexical processing illustrates the concepts, with accompanying R and Rcpp code provided.

Main Results:

  • Incorporating uncertainties leads to more realistic and varied power estimates.
  • Sample size determination should consider both the assurance (mean power) and the variability of power estimates.
  • The Bayesian-classical hybrid method provides a more nuanced estimation of statistical power.

Conclusions:

  • The Bayesian-classical hybrid approach offers a more comprehensive method for power analysis.
  • Researchers should consider multiple sources of uncertainty in study design and sample size calculations.
  • Future research should explore the broader implications of incorporating these uncertainties into research design.