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Morbidity is illness in a population; mortality is death. Rates let nurses compare communities of different sizes and track change over time. Every rate has three parts: a numerator (events), a denominator (the population from which the events came), and a time period, multiplied by a base (100, 1,000, or 100,000) for easy reading.
| Measure | Formula | What it tells you |
|---|---|---|
| Incidence (cumulative incidence, risk) | New cases during a period ÷ population at risk at the start of the period | Risk of developing disease; speed of spread; best for causes and outbreaks |
| Incidence rate (using mid-year population) | New cases during a year ÷ mid-year (average) population | Used for routine annual reporting |
| Point prevalence | All existing cases (old + new) at one point in time ÷ total population at that time | Burden of disease; planning services and resources |
| Period prevalence | All cases present at any time during a period ÷ average population | Burden over an interval |
| Attack rate | New cases ÷ population at risk during an outbreak (short period); expressed as a percentage | Incidence in an outbreak |
| Secondary attack rate | New cases among contacts ÷ susceptible contacts of the primary case | Infectiousness of an agent |
Relationship: prevalence ≈ incidence × average duration (P ≈ I × D), when the disease is uncommon and conditions are stable. A cure or rapid death shortens duration and lowers prevalence; a treatment that prolongs survival without cure raises prevalence even though incidence is unchanged.
| Measure | Numerator | Denominator | Base |
|---|---|---|---|
| Crude death rate | All deaths in a year | Mid-year population | per 1,000 or 100,000 |
| Age-specific death rate | Deaths in an age group | Mid-year population of that age group | per 1,000 or 100,000 |
| Cause-specific death rate | Deaths from one cause | Mid-year population | per 100,000 |
| Case-fatality rate (proportion) | Deaths from a disease | People with that disease | percent |
| Proportionate mortality | Deaths from one cause | All deaths | percent |
| Infant mortality rate | Deaths under 1 year of age | Live births in the same year | per 1,000 live births |
| Neonatal mortality rate | Deaths under 28 days | Live births | per 1,000 live births |
| Postneonatal mortality rate | Deaths from 28 days to under 1 year | Live births | per 1,000 live births |
| Fetal mortality rate | Fetal deaths at 20 weeks or more | Live births + those fetal deaths | per 1,000 |
| Perinatal mortality rate (NCHS Definition III, primary measure from the 2023 data year) | Fetal deaths at 20 weeks or more + infant deaths under 7 days | Live births + fetal deaths at 20 weeks or more | per 1,000 |
| Maternal mortality rate | Deaths while pregnant or within 42 days of the end of pregnancy, from causes related to or aggravated by the pregnancy or its management (not accidental or incidental) | Live births | per 100,000 live births |
The older perinatal Definition I (fetal deaths at 28 weeks or more + infant deaths under 7 days) still appears in textbooks and international comparisons; know both, and note which one a question uses. Internationally, the maternal measure per 100,000 live births is usually called the maternal mortality ratio.
Infant mortality rate is the classic single indicator of a community's overall health, because it reflects maternal health, access to prenatal care, nutrition, sanitation, and socioeconomic conditions.
Crude vs. adjusted rates. A crude rate reflects the population's age structure. An older community will have a higher crude death rate even if its health is good. Age-adjusted (standardized) rates remove this effect so communities or years can be compared fairly. In direct standardization, each community's age-specific rates are applied to one standard population (NCHS uses the 2000 US standard population).
Data sources in the US: state vital records and the National Vital Statistics System (births, deaths, fetal deaths), CDC WONDER, notifiable disease reports (NNDSS), cancer registries, BRFSS and YRBSS surveys, and hospital discharge data. Causes of death are coded with the ICD-10 (the WHO International Classification of Diseases).
Calculations below use the full set-up; each answer was checked twice.
Example 1 — Cumulative incidence. At the start of the year, 20,000 adults in a town have no diabetes. During the year, 150 are newly diagnosed.
Incidence = 150 ÷ 20,000 = 0.0075 × 1,000 = 7.5 per 1,000 per year.
Example 2 — Mid-year population. A city had 200,000 residents at the start of the year and 210,000 at the end. There were 105 new Alzheimer disease diagnoses.
Mid-year population = (200,000 + 210,000) ÷ 2 = 205,000.
Incidence rate = 105 ÷ 205,000 × 100,000 = 51.2 per 100,000.
Example 3 — Point prevalence. A blood pressure screening of 10,000 adults finds 1,200 people already diagnosed and 300 new cases.
Prevalent cases = 1,200 + 300 = 1,500. Prevalence = 1,500 ÷ 10,000 × 100 = 15%. (The 300 new cases alone are not incidence here, because no at-risk group was followed over time.)
Example 4 — P ≈ I × D. Incidence is 5 per 1,000 per year and average duration is 4 years.
Prevalence ≈ 5 per 1,000 × 4 = 20 per 1,000.
Example 5 — Attack rate and secondary attack rate. Of 80 people at a banquet, 32 develop vomiting within 24 hours.
Attack rate = 32 ÷ 80 × 100 = 40%.
In the ill guests' households there are 20 susceptible contacts; 4 later become ill.
Secondary attack rate = 4 ÷ 20 × 100 = 20%.
Example 6 — Crude and cause-specific death rates, proportionate mortality. A state of 30,000,000 people records 300,000 deaths in a year, 15,000 from diabetes.
Crude death rate = 300,000 ÷ 30,000,000 × 1,000 = 10 per 1,000.
Cause-specific death rate (diabetes) = 15,000 ÷ 30,000,000 × 100,000 = 50 per 100,000.
Proportionate mortality (diabetes) = 15,000 ÷ 300,000 × 100 = 5%.
Example 7 — Case-fatality. A hepatitis A outbreak causes 100 cases and 2 deaths.
Case-fatality = 2 ÷ 100 × 100 = 2%.
Example 8 — Infant, neonatal, postneonatal. A county has 10,000 live births in a year. Thirty infants die before 28 days and 20 die between 28 days and 1 year.
Neonatal = 30 ÷ 10,000 × 1,000 = 3.0 per 1,000 live births.
Postneonatal = 20 ÷ 10,000 × 1,000 = 2.0 per 1,000 live births.
Infant = (30 + 20) ÷ 10,000 × 1,000 = 5.0 per 1,000 live births (neonatal + postneonatal).
Example 9 — Perinatal (Definition III). There are 2,000 live births, 40 fetal deaths at 20 weeks or more, and 10 infant deaths under 7 days.
Perinatal = (40 + 10) ÷ (2,000 + 40) × 1,000 = 50 ÷ 2,040 × 1,000 = 24.5 per 1,000.
Example 10 — Maternal mortality. Three maternal deaths (as defined above) occur among 15,000 live births. (CDC also tracks "pregnancy-related" deaths up to 1 year after pregnancy through separate surveillance and review committees; that is a different measure.)
Maternal mortality = 3 ÷ 15,000 × 100,000 = 20 per 100,000 live births.
Example 11 — Direct age adjustment. A standard population has 60,000 younger and 40,000 older adults (total 100,000). Town A's death rates are 2 per 1,000 (younger) and 30 per 1,000 (older).
Expected deaths = (60,000 × 0.002) + (40,000 × 0.030) = 120 + 1,200 = 1,320.
Age-adjusted rate = 1,320 ÷ 100,000 × 1,000 = 13.2 per 1,000. Repeating this for Town B with the same standard population allows a fair comparison.
Case 1 — Incidence or prevalence? A health department wants to know whether a new school-based asthma program reduced new asthma diagnoses.
Correct action: measure incidence before and after. Why: incidence reflects new occurrence; prevalence would also count children with long-standing asthma.
Case 2 — Misleading crude rate. A retirement community has a higher crude death rate than a college town, and a board member concludes its health care is worse.
Correct action: compare age-adjusted rates. Why: an older population has more deaths regardless of care quality.
Case 3 — Survival paradox. After a new HIV therapy becomes widely used, HIV prevalence in the county rises.
Correct action: explain that longer survival increases duration, so prevalence rises even if incidence falls. Why: P ≈ I × D.
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