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A Primer on Large-Sample Statistical Inference for Epidemiologists.

Bonnie E Shook-Sa1,2, Stephen R Cole3, Paul N Zivich3,4

  • 1Nuffield Department of Population Health, University of Oxford, Oxford, UK.

Epidemiologic Methods
|March 30, 2026
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Summary
This summary is machine-generated.

This primer summarizes key large-sample statistical theory for epidemiologists and health researchers. It clarifies complex topics to improve the application of statistical methods in public health and medical studies.

Keywords:
InferenceRandom ErrorSamplingStatisticsTarget Population

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Area of Science:

  • Epidemiology
  • Biostatistics
  • Public Health

Background:

  • Statistical theory is crucial for epidemiological research and advanced methods like causal inference.
  • Existing textbooks offer comprehensive but potentially overwhelming coverage of statistical theory.
  • A focused summary of large-sample statistical theory is needed for health science researchers.

Purpose of the Study:

  • To provide a focused summary of fundamental large-sample statistical theory concepts.
  • To enhance the understanding and application of statistical methods in epidemiologic research.
  • To clarify commonly confused statistical topics relevant to health science.

Main Methods:

  • Summarization of fundamental concepts from large-sample statistical theory.
  • Explanation of assumptions underlying common statistical methods for valid inference.
  • Contextualization with a real-world example from the Women's Interagency HIV Study.

Main Results:

  • A concise overview of essential large-sample statistical theory is presented.
  • Key statistical topics often misunderstood by researchers are clarified.
  • The importance of statistical assumptions for valid inference is highlighted.

Conclusions:

  • This primer facilitates a more focused understanding of statistical theory for epidemiologists and health researchers.
  • Improved understanding promotes appropriate application of statistical methods in population health and medical studies.
  • The content aims to bridge the gap between theoretical statistics and practical epidemiologic research.