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[Proportion and rate: connotation and understanding route].

Y X Li1, Y T Mu1, Z Y Huang2

  • 1Department of Epidemiology/Key Laboratory for Health Technology Assessment, National Health Commission/Key Laboratory of Public Health Safety, Ministry of Education, School of Public Health, Fudan University, Shanghai 200032, China.

Zhonghua Liu Xing Bing Xue Za Zhi = Zhonghua Liuxingbingxue Zazhi
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Summary
This summary is machine-generated.

This study clarifies the distinct meanings of rate and proportion in population research. It introduces a unified framework for understanding these fundamental indicators, applicable to both fixed and dynamic populations.

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Area of Science:

  • Epidemiology
  • Biostatistics
  • Population Health

Background:

  • The concepts of rate and proportion in population studies often have overlapping and ambiguous meanings.
  • This ambiguity can hinder clear communication and accurate interpretation of epidemiological and public health data.

Purpose of the Study:

  • To establish a unified and clear conceptual framework for understanding ratios, proportions, and rates.
  • To differentiate between various types of proportions and rates, including time-point and time-period measures.
  • To provide a clear identification route for these basic indicators of categorical data in populations.

Main Methods:

  • Introduction of the concept "cumulative number of states in point time" based on state existence and event occurrence.
  • Definition of "the change of cumulative number of states in point time" as equivalent to absolute rate or number of incident events.
  • Construction of relative rate and different types of proportions (time-point constitutional, time-period incidence, time-period constitutional).

Main Results:

  • A clear distinction is made between relative rate and time-period proportions based on the observation period's treatment.
  • The source populations for relative rate and proportions are identified as exclusively those at the beginning of the observation period.
  • A unified identification route for ratios, proportions, and rates is established, applicable to both fixed and dynamic populations.

Conclusions:

  • The proposed framework clarifies the connotations of key population indicators.
  • The unified route facilitates a feasible understanding and application of these measures for researchers.
  • This work serves as a valuable reference for population researchers dealing with categorical data analysis.