Measures of Disease Frequency

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MDF Basics - Numbers Game Kickoff

MDF: Quantifies disease burden & events. 📌 R-P-R basics:

  • Ratio: Relates two distinct quantities, $x$ and $y$. Formula: $x/y$.
  • Proportion: Numerator included in denominator; part of a whole. Formula: $x/(x+y)$. Often %.
  • Rate: Event frequency in a population over time. Formula: $(x/y) \times k$ over time $t$.

⭐ Rate has a time dimension in its denominator, making it a true measure of risk or speed of event occurrence.

Incidence - New Cases on Block

Incidence measures the occurrence of new cases of a disease in a population over a specified time period. It reflects the rate at which individuals develop the disease.

FeatureCumulative Incidence (CI)Incidence Density (IDR)
A.k.a.Risk, Incidence ProportionIncidence Rate
DefinitionProbability of an individual developing disease during a specific periodTrue rate at which new cases occur in a dynamic population
NumeratorNo. of new cases during periodNo. of new cases during period
DenominatorPopulation at risk at the start of periodTotal person-time at risk contributed by the population
Formula$CI = \frac{\text{New cases during period}}{\text{Population at risk at start}}$$IDR = \frac{\text{New cases during period}}{\text{Total person-time at risk}}$
UnitDimensionless (0 to 1) or %Cases per person-time (e.g., cases per 1000 person-years)
InterpretationIndividual's average risk of developing disease over the periodSpeed of disease occurrence; accounts for varying follow-up times

⭐ Incidence is the best measure to assess etiological factors and evaluate the effectiveness of prevention programs.

Prevalence - Who Has It Now?

Prevalence measures existing cases of a disease in a population at a specific time or over a period. It's expressed as a proportion (or percentage) and has no units.

FeaturePoint PrevalencePeriod Prevalence
DefinitionProportion of population with disease at a single point in time.Proportion of population with disease during a specified period.
NumeratorAll current cases (old & new) at a point in time.All cases (old & new) existing at any time during a period.
DenominatorTotal population at that specific point in time.Average population during that period.
Formula$P = \frac{\text{All current cases at a point in time}}{\text{Population at that point in time}}$$P = \frac{\text{All cases during a period}}{\text{Average population during period}}$
TimeframeSnapshot; a single point in time.A defined duration (e.g., 1 year).

⭐ Prevalence is useful for estimating the burden of disease in a population and for planning health services and resource allocation. It is particularly important for chronic diseases like diabetes or hypertension where duration is long.

Incidence-Prevalence - The Dynamic Duo

  • Defines relationship: Prevalence (P) = existing cases; Incidence (I) = new cases.
  • Key formula (stable conditions): $P \approx I \times D$ (D = Average Duration). 📌 PID.
  • Factors ↑ P: Longer D, ↑ I, in-migration of cases, improved diagnosis.
  • Factors ↓ P: Shorter D, ↓ I, ↑ cure/death rates, out-migration of cases.

⭐ Chronic diseases (low I, long D, e.g., diabetes) often have high P. Acute conditions (high I, short D, e.g., common cold) can show low P at any given point in time.

Special Rates - Vital Stats Spotlight

  • Attack Rate (AR): Risk in exposed during outbreak.
    • Use: Outbreaks.
    • Formula: $AR = \frac{\text{New cases in exposed pop. during outbreak}}{\text{Total exposed pop. at risk}}$
    • Numerator: New cases in exposed pop. during outbreak.
    • Denominator: Total exposed pop. at risk.
  • Secondary Attack Rate (SAR): Risk in susceptible contacts.
    • Use: Contagiousness, household spread.
    • Formula: $SAR = \frac{\text{New cases among contacts of primary cases}}{\text{Total susceptible contacts}}$
    • Numerator: New cases among contacts of primary cases.
    • Denominator: Total susceptible contacts.
  • Case Fatality Rate (CFR): Proportion of deaths among cases.
    • Use: Disease severity/virulence.
    • Formula: $CFR = \frac{\text{Deaths from a disease}}{\text{Total cases of that disease}} \times 100$
    • Numerator: Deaths from a disease.
    • Denominator: Total cases of that disease.

⭐ Attack rate is an incidence proportion specifically used for outbreaks of short duration, often expressed as a percentage.

High‑Yield Points - ⚡ Biggest Takeaways

  • Incidence: New cases / population-at-risk / time period; measures risk of developing disease.
  • Prevalence: All current cases (new + old) / total population / point-in-time; measures disease burden.
  • P ≈ I × D: PrevalenceIncidence × Average Duration; for stable, low-prevalence chronic diseases.
  • Attack Rate: An incidence proportion for outbreaks/epidemics; expressed as a percentage (%).
  • Incidence Density: True rate using person-time at risk as denominator; for dynamic populations.
  • Secondary Attack Rate (SAR): New cases among susceptible contacts of primary cases; measures contagiousness.

Practice Questions: Measures of Disease Frequency

Test your understanding with these related questions

Which of the following statements about incidence is false?

1 of 5

Flashcards: Measures of Disease Frequency

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Calculating case fatality rate: (Total number of deaths due to a particular disease/Total number of cases due to same disease ) x _____

TAP TO REVEAL ANSWER

Calculating case fatality rate: (Total number of deaths due to a particular disease/Total number of cases due to same disease ) x _____

100

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