Epidemiology and Statistics
Epidemiology and statistics encompass study design, measures of disease frequency and association, diagnostic test properties, and interpretation of clinical research evidence.
Key Facts
Sensitivity = TP/(TP+FN) — ability to detect disease (rule OUT with high sensitivity = SnNOut) Specificity = TN/(TN+FP) — ability to confirm absence of disease (rule IN with high specificity = SpPIn) Positive predictive value depends on prevalence — higher prevalence increases PPV Randomised controlled trial (RCT) is the gold standard for assessing treatment efficacy; meta-analysis sits at the top of the evidence hierarchy Number needed to treat (NNT) = 1/absolute risk reduction (ARR) — lower NNT = more effective treatment Relative risk is used in cohort studies; odds ratio in case-control studies; both >1 indicate increased risk Type I error (α) = false positive (rejecting true null hypothesis); Type II error (β) = false negative; Power = 1 − β Intention-to-treat analysis includes all randomised patients regardless of compliance — preserves randomisation and reduces bias
Overview
Key Facts
Epidemiology is the study of disease distribution and determinants in populations. Medical statistics provides the mathematical framework for drawing valid conclusions from clinical research. Both are essential for evidence-based medicine.
Epidemiology
Evidence-based medicine is a cornerstone of modern clinical practice and medical education. Understanding study design and statistical concepts is heavily examined in MRCP Part 1, PLAB, and UKMLA. The ability to critically appraise evidence underpins clinical guideline development, including NICE recommendations.
Aetiology
Study designs (hierarchy of evidence, ascending):
- Expert opinion/case reports: Lowest level
- Case-control studies: Compare cases with disease to controls without; retrospective; measure odds ratio
- Cohort studies: Follow exposed vs unexposed groups; prospective or retrospective; measure relative risk
- RCTs: Randomise to intervention vs control; minimise confounding; measure treatment effect
- Systematic reviews/meta-analyses: Pool data from multiple studies; highest level of evidence
Pathophysiology
Bias types:
- Selection bias: Non-random selection of participants (e.g., Berkson's bias, healthy worker effect)
- Information/measurement bias: Systematic errors in data collection (e.g., recall bias in case-control studies)
- Confounding: A third variable associated with both exposure and outcome — addressed by randomisation, matching, or statistical adjustment
- Observer bias: Knowledge of exposure status influences outcome assessment — blinding addresses this
- Publication bias: Positive results more likely published — funnel plot detects this in meta-analyses
Reducing bias:
- Randomisation (allocation concealment)
- Blinding (single, double, triple)
- Intention-to-treat analysis
- Adequate sample size (power calculation)
Clinical Presentation
Application to Clinical Decision-Making
- Screening programmes: Must meet Wilson-Jungner criteria — disease must be important, detectable early, with acceptable treatment
- Diagnostic testing: Pre-test probability × likelihood ratio = post-test probability
- Treatment decisions: Assess NNT, NNH, absolute vs relative risk reduction
- Prognosis: Survival analysis, Kaplan-Meier curves, hazard ratios
UK National Screening Programmes
- Breast cancer: Mammography, women aged 50-70, every 3 years
- Cervical cancer: Cervical screening (HPV primary), age 25-64
- Bowel cancer: FIT (faecal immunochemical test), age 60-74 (expanding to 50-74)
- AAA: USS for men aged 65
- Newborn: Bloodspot screening (PKU, CF, sickle cell, CHT, MCADD + 4 others)
Red Flags in Research Interpretation
- Relative risk reduction quoted without absolute risk reduction — may overstate benefit
- Surrogate endpoints used instead of patient-important outcomes
- Subgroup analyses not pre-specified — hypothesis-generating only
- Industry-funded trials without independent replication
Differential Diagnosis
| Study Design | Key Feature | Measure of Association |
|---|---|---|
| Case-control | Start with outcome, look back for exposure | Odds ratio |
| Cohort (prospective) | Follow exposed vs unexposed over time | Relative risk |
| Cross-sectional | Snapshot of population at one time point | Prevalence, odds ratio |
| RCT | Randomised to intervention vs control | Relative risk, NNT |
| Ecological | Population-level data (not individuals) | Correlation (ecological fallacy risk) |
| Meta-analysis | Pools data from multiple studies | Pooled effect estimate (forest plot) |
Diagnosis / Investigation
Diagnostic Test Properties
- Sensitivity: Proportion of true positives correctly identified — TP/(TP+FN)
- Specificity: Proportion of true negatives correctly identified — TN/(TN+FP)
- PPV: Proportion of positive tests that are truly positive — TP/(TP+FP)
- NPV: Proportion of negative tests that are truly negative — TN/(TN+FN)
- Likelihood ratio positive: Sensitivity/(1−Specificity)
- Likelihood ratio negative: (1−Sensitivity)/Specificity
Statistical Tests
- Parametric (normally distributed data): t-test (2 groups), ANOVA (>2 groups), Pearson correlation
- Non-parametric (non-normal data): Mann-Whitney U (2 groups), Kruskal-Wallis (>2 groups), Spearman correlation
- Categorical data: Chi-squared test, Fisher's exact test
- Survival analysis: Kaplan-Meier curves, log-rank test, Cox regression (hazard ratio)
Key Statistical Concepts
- p-value: Probability of observing result if null hypothesis is true; <0.05 conventionally "significant"
- Confidence interval: Range within which true value lies with 95% probability; if CI for OR/RR includes 1, result is not significant
- Power: Probability of detecting a true effect (usually target 80%)
Management
Non-pharmacological
- Critical appraisal skills should be applied to all clinical evidence
- NICE guidelines synthesise best available evidence for UK practice
- Clinical audit cycle: Set standard → collect data → compare → implement change → re-audit
Pharmacological
Key concepts in treatment evaluation:
- ARR (absolute risk reduction): Control event rate − treatment event rate
- RRR (relative risk reduction): ARR/control event rate
- NNT: 1/ARR — number needed to treat to prevent one event
- NNH: 1/absolute risk increase — number needed to harm one patient
Example: If a drug reduces MI risk from 8% to 6%:
- ARR = 2%, RRR = 25%, NNT = 50
- This means treating 50 patients for one to benefit
Referral Criteria
- Evidence-based practice should guide all clinical referrals
- Consider NICE guidelines, local protocols, and individual patient factors
- Use validated clinical prediction rules (Wells score, CHA2DS2-VASc, FRAX) for risk stratification
Prognosis
- Evidence-based medicine has transformed clinical practice, improving outcomes across all specialties
- Cochrane reviews provide the gold standard for systematic evidence synthesis
- Implementation of NICE guidelines has standardised UK healthcare quality
- The replication crisis highlights the importance of large, well-designed studies
- Approximately 85% of health research is estimated to be "avoidable waste" (poor design, non-publication, etc.)
Other Relevant Information
2×2 Table for Diagnostic Tests
| Disease + | Disease − | |
|---|---|---|
| Test + | True Positive (TP) | False Positive (FP) |
| Test − | False Negative (FN) | True Negative (TN) |
Levels of Evidence
| Level | Study Type |
|---|---|
| 1a | Systematic review of RCTs |
| 1b | Individual RCT |
| 2a | Systematic review of cohort studies |
| 2b | Individual cohort study |
| 3a | Systematic review of case-control studies |
| 3b | Individual case-control study |
| 4 | Case series |
| 5 | Expert opinion |
Common Statistical Errors in Exams
| Concept | Common Mistake |
|---|---|
| p-value | Does NOT = probability that null hypothesis is true |
| Statistical significance | Does NOT = clinical significance |
| Relative risk reduction | Often larger and more impressive than ARR — beware misleading claims |
| Correlation | Does NOT = causation |