Key Formulas & Equations
Prevalence: P = (Total cases / Total population) ร K
K = 100, 1000, 10,000, or 100,000
Case Fatality Rate: CFR = (Deaths / Cases) ร 100%
Age-Specific Rate: ASR = (Events in age group / Population in age group) ร K
Standardized Rate: SMR = Observed deaths / Expected deaths
Herd Immunity Threshold: HIT = 1 - 1/Rโ
Number Needed to Treat: NNT = 1/ARR
Attributable Risk: AR = Ie - Iu
Relative Risk: RR = [a/(a+b)] / [c/(c+d)]
Population Attributable Risk: PAR = It - Iu
Years of Life Lost: YLL = N ร L
Quality-Adjusted Life Years: QALY = years ร quality weight
Core Concepts
Epidemiology
The study of disease distribution and determinants in populations. Uses descriptive and analytic methods to identify risk factors and causes of disease.
Health Promotion
Process of enabling people to increase control over their health. Includes education, community development, advocacy, and policy change.
Disease Prevention
Primary (prevent disease onset), secondary (early detection), tertiary (reduce impact). Includes screening, immunization, and lifestyle interventions.
Health Policy & Management
The planning, organization, and evaluation of health systems. Includes healthcare financing, workforce planning, and quality improvement.
Social Determinants of Health
Conditions in which people are born, grow, live, work, and age. Includes income, education, housing, employment, and social support.
Global Health
Health issues that transcend national boundaries. Includes infectious diseases, maternal health, nutrition, and health system strengthening.
Environmental Health
Study of how environmental factors affect human health. Includes air/water quality, sanitation, occupational health, and climate change.
Health Equity
The principle that everyone should have a fair opportunity to attain their health potential. Addresses disparities based on race, income, gender, and geography.
Worked Examples
Example 1: Incidence Rate
Problem: A population of 50,000 has 200 new cases of disease in one year. Calculate incidence rate per 100,000.
Solution:
IR = (200/50,000) ร 100,000 = 400 per 100,000 per year
Example 2: Vaccine Efficacy
Problem: In a trial, attack rate in unvaccinated = 10%, attack rate in vaccinated = 2%. Calculate VE.
Solution:
VE = (10% - 2%)/10% ร 100% = 80%
Example 3: Herd Immunity Threshold
Problem: Measles has Rโ = 15. Calculate herd immunity threshold.
Solution:
HIT = 1 - 1/15 = 1 - 0.067 = 0.933 = 93.3%
Practice Problems
Problem 1
Calculate prevalence if 500 cases exist in a population of 25,000. Express per 1,000.
Answer: P = (500/25,000) ร 1,000 = 20 per 1,000
Problem 2
Calculate CFR if 50 deaths occur among 1,000 cases.
Answer: CFR = 50/1,000 ร 100% = 5%
Problem 3
Calculate NNT if absolute risk reduction = 0.05.
Answer: NNT = 1/0.05 = 20
Problem 4
Calculate odds ratio: Exposed cases = 40, exposed non-cases = 60, unexposed cases = 20, unexposed non-cases = 80.
Answer: OR = (40ร80)/(60ร20) = 3200/1200 = 2.67
Problem 5
Calculate herd immunity threshold for polio (Rโ = 6).
Answer: HIT = 1 - 1/6 = 83.3%
Problem 6
Calculate attributable risk if incidence in exposed = 15/1000 and unexposed = 5/1000.
Answer: AR = 15 - 5 = 10 per 1,000
Problem 7
Calculate SMR if observed deaths = 120 and expected deaths = 100.
Answer: SMR = 120/100 = 1.2 (20% more deaths than expected)