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Prevalence Calculator

Point or period prevalence with confidence interval, or from incidence and duration.

Calculate from
per 1,000/yr
years
Confidence level

Enter your values to see the result.

The incidence × duration method assumes a steady state: P = ID ÷ (1 + ID). Confidence intervals use exact (Clopper–Pearson or Poisson) methods. Rates are only comparable between populations with similar age structures unless you standardize them.

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How this calculation works

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Formula
Prevalence = existing cases / total population × selected multiplier. Confidence intervals use the exact binomial method.
Variables
  • Calculate from: Case counts, Incidence × duration
  • Existing cases
  • Population
  • Incidence rate
  • Average duration
  • Express per: 100 people (percent), 1,000 people, 10,000 people, 100,000 people
  • Confidence level: 90%, 95%, 99%
Units
  • Incidence rate: per 1,000/yr
  • Average duration: years
Example
180 cases in a population of 2,400 is a prevalence of 75 per 1,000 (7.5%, 95% CI 6.48% to 8.63%).
Assumptions
The incidence × duration method assumes a steady state: P = ID ÷ (1 + ID). Confidence intervals use exact (Clopper–Pearson or Poisson) methods. Rates are only comparable between populations with similar age structures unless you standardize them.
Source
ToolzHive calculation guide and calculator implementation. External reference verification is pending.
Last reviewed
Review date not yet recorded.

Methodology & References

The method depends on the selected model and input options. Review the assumptions and references above before interpreting the result.

  1. Choose case counts, or incidence and duration.
  2. Enter the cases and population, or the incidence rate and average duration.
  3. Read the prevalence and its confidence interval.

Interpretation and limitations

  • How does duration affect prevalence? In a steady state prevalence ≈ incidence × duration, so long-lasting conditions are more prevalent even at the same incidence.
  • Point or period prevalence? Point prevalence counts cases on one date; period prevalence counts anyone affected during a period, such as a year.

References

External reference verification is pending. The formula and examples describe the current ToolzHive implementation.

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Clear instructions

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How to use the Prevalence Calculator

Point or period prevalence with confidence interval, or from incidence and duration.

  1. 1 Choose case counts, or incidence and duration.
  2. 2 Enter the cases and population, or the incidence rate and average duration.
  3. 3 Read the prevalence and its confidence interval.

Example and practical tips

180 cases in a population of 2,400 is a prevalence of 75 per 1,000 (7.5%, 95% CI 6.48% to 8.63%).

Frequently asked questions

How does duration affect prevalence?

In a steady state prevalence ≈ incidence × duration, so long-lasting conditions are more prevalent even at the same incidence.

Point or period prevalence?

Point prevalence counts cases on one date; period prevalence counts anyone affected during a period, such as a year.

  • How to Use Prevalence Calculator

    Calculate point or period prevalence per 100, 1,000 or 100,000 with an exact confidence interval, or estimate prevalence from incidence and duration.

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