Key Formulas & Equations
Incidence Density: ID = New cases / Person-time at risk
Point Prevalence: P = (Existing cases at point / Population) ร K
Period Prevalence: PP = (Cases during period / Population) ร K
Odds Ratio: OR = ad/bc
Attributable Risk: AR = Ie - Iu
Attributable Fraction: AF = (Ie - Iu)/Ie ร 100%
Specificity: Sp = TN/(TN+FP)
PPV: PPV = TP/(TP+FP)
NPV: NPV = TN/(TN+FN)
Age-Specific Mortality: ASMR = (Deaths in age group / Population in age group) ร K
Standardized Mortality Ratio: SMR = Observed / Expected
PYLL: Potential Years of Life Lost = ฮฃ(age at death - endpoint)
Herd Immunity Threshold: HIT = 1 - 1/Rโ
Basic Reproduction Number: Rโ = ฮฒ ร D ร N
Force of Infection: ฮป = (Number of new cases / Susceptible population) ร K
Core Concepts
Study Designs
Types of epidemiologic studies: cohort (follow exposed/unexposed), case-control (compare cases/non-cases), cross-sectional (snapshot), and experimental (RCTs).
Measures of Association
Quantifying exposure-disease relationships: relative risk, odds ratio, attributable risk, and population attributable risk.
Confounding & Bias
Distortion of exposure-disease relationships. Confounding by third variables; bias from selection, information, or measurement error.
Outbreak Investigation
Systematic approach to investigate disease outbreaks: verify diagnosis, define cases, descriptive epidemiology, hypothesis testing, and control measures.
Screening & Surveillance
Screening: early detection of disease in asymptomatic individuals. Surveillance: ongoing systematic collection and analysis of health data.
Measures of Disease Frequency
Incidence (new cases), prevalence (total cases), and their uses in different study designs and public health planning.
Causal Inference
Bradford Hill criteria: strength, consistency, specificity, temporality, biological gradient, plausibility, coherence, experiment, analogy.
Epidemiologic Transition
Shift from infectious to chronic diseases as societies develop. Explains changing disease patterns over time and across populations.
Worked Examples
Example 1: Relative Risk
Problem: Cohort study: 100 exposed, 20 developed disease; 200 unexposed, 10 developed disease. Calculate RR.
Solution:
Ie = 20/100 = 0.20; Iu = 10/200 = 0.05
RR = 0.20/0.05 = 4.0 (exposed have 4ร risk)
Example 2: Screening Test
Problem: Test results: TP = 90, FN = 10, FP = 20, TN = 880. Calculate sensitivity and specificity.
Solution:
Sensitivity = 90/(90+10) = 90%
Specificity = 880/(880+20) = 97.8%
Example 3: Odds Ratio
Problem: Case-control: cases with exposure = 60, cases without = 40; controls with exposure = 30, controls without = 70. Calculate OR.
Solution:
OR = (60 ร 70)/(40 ร 30) = 4200/1200 = 3.5
Practice Problems
Problem 1
Calculate incidence rate if 150 new cases occur in 10,000 population at risk. Express per 1,000.
Answer: IR = 150/10,000 ร 1,000 = 15 per 1,000 per year
Problem 2
Calculate PPV if TP = 80, FP = 40.
Answer: PPV = 80/(80+40) = 66.7%
Problem 3
Calculate attributable risk if Ie = 0.15 and Iu = 0.05.
Answer: AR = 0.15 - 0.05 = 0.10 (10 per 100)
Problem 4
Calculate SMR if observed deaths = 150 and expected = 120.
Answer: SMR = 150/120 = 1.25
Problem 5
Calculate NNT if ARR = 0.04.
Answer: NNT = 1/0.04 = 25
Problem 6
Calculate herd immunity threshold for influenza (Rโ = 1.8).
Answer: HIT = 1 - 1/1.8 = 44.4%
Problem 7
Calculate attributable fraction if Ie = 0.20 and Iu = 0.05.
Answer: AF = (0.20 - 0.05)/0.20 ร 100% = 75%