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Related Experiment Videos

Confidence intervals and sample sizes.

A P Grieve1

  • 1Safety of Medicines Department, ICI Pharmaceuticals, Macclesfield, Cheshire, United Kingdom.

Biometrics
|December 1, 1991
PubMed
Summary
This summary is machine-generated.

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Determining appropriate sample size for confidence intervals (CI) is crucial. This study examines Beal

Area of Science:

  • Statistics
  • Statistical Inference
  • Sample Size Determination

Background:

  • Confidence intervals (CI) are used for parameter estimation.
  • Beal (1989) proposed a method for sample size determination based on CI length.
  • Previous methods may not adequately account for uncertainty in population variance.

Purpose of the Study:

  • To examine Beal's (1989) suggested method for sample size determination.
  • To investigate the impact of population variance uncertainty on sample size estimates.
  • To focus on two-sided confidence intervals.

Main Methods:

  • Theoretical examination of Beal's sample size methodology.
  • Analysis of conditional probability related to CI length.
  • Evaluation of sample size estimation under variance uncertainty.

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Main Results:

  • The study critically evaluates the proposed method for sample size calculation.
  • It highlights the influence of unknown population variance on sample size requirements.
  • Findings are specific to two-sided confidence intervals.

Conclusions:

  • Beal's method for sample size determination requires careful consideration.
  • Uncertainty in population variance significantly affects sample size calculations.
  • Further research may be needed to refine sample size strategies under variance uncertainty.