Biostatistics & Population Health
Communicating NNT and absolute risk to patients
— Patient quotes a drug ad ("cuts risk in half") without baseline risk
— Patient demands or refuses a screening test based on a single statistic
— Family conference invoking percentages for ICU prognosis
— Low health-literacy markers: limited education, language discordance, age >65, cognitive impairment
— ARR = control event rate − treatment event rate
— RRR = ARR / control event rate
— NNT = 1 / ARR (must specify time horizon)
— NNH = 1 / absolute risk increase of harm
— "The drug reduces stroke by 40%" with no baseline
— Patient asks "What are my chances, doc?"
— Disagreement between patient and clinician about a low-yield test

— Annual wellness visit reviewing statin initiation in primary prevention
— Counseling a 55-year-old about lung cancer screening LDCT
— AF patient weighing DOAC vs no anticoagulation (CHA₂DS₂-VASc discussion)
— Postmenopausal woman considering bisphosphonate for osteopenia
— Parent asking about HPV vaccine efficacy
— Family meeting on CPR / code status with prognostic percentages
— Health literacy screen: "How confident are you filling out medical forms?" (single-item literacy screener)
— Numeracy screen: ask patient to interpret a simple risk ("If 10 of 1000 have X…")
— Preferred decision style: paternalistic, shared, or informed (patient-led)
— Values clarification: fear of stroke vs fear of bleeding; longevity vs quality
— Prior experiences: family member harmed by a drug, distrust of system
— Source of the patient's statistic: TV ad, friend, social media — identify and correct
— Need for certified medical interpreter (not family) when consenting to risk-based therapy
— Numeric concepts (percent, probability) vary cross-culturally — use frequencies ("3 out of 100") rather than decimals

— Understanding: can patient restate the condition and the proposed intervention?
— Appreciation: does patient apply the information to their own situation?
— Reasoning: can patient compare options logically?
— Choice: can patient communicate a stable preference?
— "Just so I know I explained it well, can you tell me in your own words what taking this medication would mean for your heart-attack risk?"
— Re-teach gaps; do not ask "Do you understand?" (yes-bias)
— Confuses percent with percentage points ("20% is the same as 20")
— Cannot estimate which is larger: 1/10 vs 1/100
— Anchors on a single anecdote ("My uncle had a bleed")
— Magnifies rare harms, minimizes common benefits (availability heuristic)
— Pictographs / icon arrays (100 or 1000 figures, colored to show events)
— Bar graphs comparing treated vs untreated arms
— Mayo Statin Choice decision aid, Option Grid, AHRQ SHARE tools
— Avoid pie charts (poor at small differences) and isolated percentages

— CER (control event rate) = events in control / total in control
— EER (experimental event rate) = events in treated / total in treated
— ARR = CER − EER
— RRR = ARR / CER = 1 − (EER/CER)
— NNT = 1 / ARR (round up to nearest whole patient)
— ARI / NNH = same math, for adverse events
— CER = 2.8% MI over 2 yr; EER = 1.4%
— ARR = 1.4% (0.014); RRR = 50%; NNT = 1/0.014 ≈ 72 over 2 years
— Communicated: "Out of 100 people like you taking this for 2 years, about 1–2 will avoid a heart attack."
— Stroke CER ≈ 1.6%/yr; EER ≈ 1.27%/yr → ARR ≈ 0.33%/yr → NNT ≈ 303/yr
— Major bleed ARR ≈ 0.96%/yr favoring apixaban → NNH (vs warfarin) actually favorable

— Relative-only reporting: "cuts risk by 40%" without baseline → demand absolute numbers
— Surrogate endpoints: LDL drop, BP drop, tumor shrinkage ≠ mortality benefit; NNT for surrogates is not equivalent to NNT for outcomes
— Composite endpoints dominated by soft components (revascularization, hospitalization)
— Per-protocol vs intention-to-treat: PP exaggerates benefit
— Subgroup analyses: post-hoc subgroups are hypothesis-generating, not actionable
— Lead-time and length-time bias in screening — apparent survival ↑ without mortality ↓
— 5-year survival is inflated by lead time; use disease-specific mortality
— Stage-shift does not prove screening reduces death
— Overdiagnosis (PSA, thyroid, DCIS) means NNT to prevent one death may be enormous and NNH for harms (biopsy, incontinence, anxiety) is small
— Biennial mammography ages 50–74: NNT ≈ 1000 over 10 years to prevent 1 breast cancer death
— ~150 false positives, ~20 biopsies, ~1–2 overdiagnoses per 1000 — these go in the conversation
— ERSPC: NNT ≈ 781 invited to screen to prevent 1 prostate cancer death over 13 yr; NNH for ED/incontinence dwarfs benefit

— Low-risk 45-yo, 10-yr ASCVD = 5%, RRR ≈ 10% → ARR = 0.5% → NNT = 200
— Same RRR in 10-yr ASCVD = 20% → ARR = 2% → NNT = 50
— Bleeding NNH is roughly constant in absolute terms → in low-risk patients, NNH < NNT → net harm. This is why USPSTF (2022) downgraded aspirin for primary prevention.
— PCE / PREVENT for ASCVD
— CHA₂DS₂-VASc for AF stroke; HAS-BLED for bleeding
— FRAX for fracture; Gail / Tyrer-Cuzick for breast cancer
— Lung cancer: PLCOm2012 or USPSTF criteria
— Statins: ASCVD ≥7.5% → discuss; ≥20% → recommend
— Anticoagulation: CHA₂DS₂-VASc ≥2 (men) / ≥3 (women) → benefit usually exceeds harm
— When NNT/NNH ratio ≤ 1, intervention favored; when >1, reconsider

— Seek patient participation
— Help explore and compare options
— Assess values and preferences
— Reach a decision together
— Evaluate the decision over time
— Ask what the patient already knows/believes
— Tell in plain language with absolute numbers + visuals
— Ask them to teach back
— Use frequencies, not percentages ("3 out of 100" beats "3%")
— Use a constant denominator when comparing options ("out of 100" in both arms)
— Present both benefits and harms, side-by-side
— Use pictographs with random distribution of "event" icons
— Avoid decimals <1 ("0.3%") — convert to "3 in 1000"
— Give time horizon every time
— State uncertainty ("our best estimate is…")
— RRR alone, vague qualifiers ("significantly lower"), and statistical jargon (p-values, hazard ratios) at the bedside
— Loaded framing ("Most doctors recommend…") that undermines autonomy
— Anchoring on a single number without range/CI
— "Over 10 years, about 6 of 100 people like you will have a heart attack or stroke. With a daily statin, that drops to about 4 of 100 — so 2 of 100 are helped, 94 of 100 would have been fine anyway, and 4 of 100 still have an event despite the pill. The most common downside is muscle aches, in about 5 of 100."

— Mayo Clinic Statin Choice — interactive pictograph, personalizes ASCVD risk
— Option Grid — one-page side-by-side comparison
— AHRQ SHARE toolkit, Ottawa Personal Decision Guide
— PREVENT/ASCVD Risk Estimator Plus with built-in NNT visualization
— NNT.com — clinician reference for pooled NNTs
1. Icon arrays / pictographs with 100 or 1000 figures, random placement
2. Bar charts with identical scales
3. Numerical frequencies ("3 in 100")
4. Percentages
5. Relative risk statements (worst — avoid)
— Quote procedure-specific NNT (e.g., asymptomatic CEA: NNT ≈ 20 over 5 yr to prevent 1 stroke; perioperative stroke/MI/death ≈ 2–3%)
— Quote NNH for the specific complication being signed for
— Document patient-specific risk (STS score, EuroSCORE, NSQIP) not generic averages
— Patient's baseline risk + source (calculator name, inputs)
— Absolute benefit (ARR, NNT) and absolute harm (ARI, NNH) over stated time horizon
— Decision aid used (name + version)
— Teach-back confirmed
— Patient's stated preference and rationale
— Plan and follow-up

— Declining working memory and processing speed
— Higher prevalence of low health literacy (~60% age 75+)
— Sensory deficits (vision, hearing) impair pictograph and verbal comprehension
— Polypharmacy makes NNH conversations more important than NNT
— Higher baseline risk → often lower NNT for treatment (statins, anticoagulation)
— But competing mortality can erase long-horizon benefit — a 5-year NNT means little if life expectancy is 3 years
— Use time-to-benefit (TTB) literature: e.g., statins in primary prevention need ~2.5 yr to show benefit; tight glycemic control ~8 yr; mammography ~10 yr
— Large-print pictographs; ensure hearing aids in
— Slow pace, single concept per minute
— Include caregiver/proxy with patient permission
— Use life-expectancy calculators (ePrognosis) to bound the time horizon
— Reframe: "Given your overall health, treatment X is likely to help over the next [X] years"
— "Continuing this pill at your age may give you a 1-in-500 chance of help but 1-in-50 chance of dizziness/fall"
— Tested on Step 3 in geriatric polypharmacy stems
— MCI ≠ incapacity; assess decision-specific capacity for each high-stakes choice
— If capacity lacking → previously expressed wishes, advance directive, surrogate per state hierarchy

— Risk communication must include maternal AND fetal outcomes — two NNTs/NNHs
— Example: aspirin 81 mg from 12 wk in high-risk pregnancy → NNT ≈ 50 to prevent preeclampsia; minimal fetal harm
— Avoid framing that pressures (autonomy is paramount in obstetric decisions)
— Counsel on vaccine NNT/NNH (Tdap, influenza, RSV, COVID) — pregnant patients are a high-misinformation group
— Communicate to parents AND, when age-appropriate, the adolescent (assent)
— Vaccines are the archetype: HPV vaccine NNT ≈ 100s to prevent cervical cancer over decades — frame as lifetime risk reduction
— Address parental misperception of vaccine NNH (denominator illiteracy drives anti-vaccine sentiment)
— Certified medical interpreter required for any informed-consent or risk-discussion encounter — using family is a patient safety event and Joint Commission violation
— Translate decision aids into the patient's primary language; many AHRQ tools are multilingual
— Universal precautions: assume everyone needs plain language
— 5th–6th grade reading level for written materials
— Chunk-and-check: deliver one concept, teach-back, then next
— Use stories sparingly — anecdotes are powerful but biased
— Numeracy correlates with education and SES, not intelligence
— Same patient may have high verbal literacy but low numeracy — screen separately

— Overtreatment: patients consent to interventions whose NNT vastly exceeds NNH (e.g., PSA screening in low-risk men → biopsy complications, overtreatment)
— Undertreatment: patients refuse beneficial therapy because RRR sounded too small or NNH was overemphasized
— Decisional regret: post-hoc dissatisfaction, linked to inadequate pre-decision information
— Anxiety / "VOMIT" (victims of modern imaging technology): incidentaloma cascades from low-yield screening
— Non-adherence: patients who don't understand benefit stop the drug
— Low-value care consumes resources and exposes patients to harm
— Malpractice exposure: inadequate informed consent is the most common procedural malpractice claim
— Health inequities: numeracy gaps amplify existing disparities
— PSA without SDM → unnecessary biopsies → sepsis, ED, incontinence
— CT for low-risk chest pain → incidentaloma → invasive workup
— Genetic testing without pretest counseling → uninterpretable VUS → patient distress
— CPR consent based on TV-show survival rates (~70%) vs real in-hospital ~17%, out-of-hospital ~10% → DNR decisions distorted
— Framing effect: "90% survive" feels better than "10% die" — same number
— Anchoring on first statistic heard
— Availability bias from recent vivid case
— Optimism bias ("won't happen to me")
— Default bias — patients accept the default (use defaults ethically)

— Suspected lack of capacity despite clear explanation → formal capacity assessment ± psychiatry consult
— Persistent disagreement between patient and surrogates, or among surrogates → ethics consultation
— Refusal of life-saving therapy in a context suggesting impaired understanding (delirium, untreated depression, intoxication) → treat reversible causes, reassess
— Suspected coercion (family pressure, financial abuse) → social work, adult protective services
— Cultural or religious conflict where standard SDM doesn't fit → chaplaincy, cultural liaison
— Pediatric refusal of recommended treatment with risk of significant harm → ethics, possibly child protective services / court order
1. Court-appointed guardian
2. Healthcare power of attorney / proxy
3. Spouse
4. Adult children (majority)
5. Parents
6. Adult siblings
7. Close friend
— Substituted judgment (preferred when patient's wishes known): "What would the patient choose?"
— Best interest standard: used when patient's wishes unknown
— Surrogates should also receive NNT/NNH framing for proposed interventions
— Jehovah's Witness refusing transfusion: capacity-assured adult — autonomy prevails; minor — court order possible
— Pregnant patient refusing intervention — autonomy generally prevails (Step 3 favors maternal autonomy)

— NNT = treat to prevent 1 event; NNH = treat to cause 1 harm
— Both require same time horizon and same population
— NNS includes all screened, most without disease; always larger than NNT
— ARR is the only measure that scales with baseline risk; RRR is roughly constant across baseline risks for a given drug
— In rare outcomes, OR ≈ RR; in common outcomes, OR overestimates RR
— OR is non-intuitive for patients — convert to ARR
— Time-to-event measure from Cox models; not directly ARR
— Convert via baseline survival to absolute terms
— AR = ARR in exposed; PAR = population-level burden
— Sens/spec are test properties; PPV/NPV depend on prevalence — critical for screening counseling (low-prevalence disease → low PPV even with good test)
— Example: D-dimer in low-pretest-probability PE has high NPV; in high-pretest, low PPV
— Survival inflated by lead/length-time bias in screening contexts
— Mortality is the unbiased outcome
— Median is robust to outliers; mean skewed by long survivors
— Always disaggregate; benefit may be driven by softest endpoint

— Framing effect: mortality framing → risk-averse; survival framing → risk-seeking
— Loss aversion: losses weighted ~2× gains — "lose 5 years" hits harder than "gain 5 years"
— Default bias: opt-in vs opt-out radically changes uptake (organ donation)
— Anchoring: first number sets reference point
— Availability heuristic: recent vivid event distorts probability
— Innumeracy itself: confusing percent change with percentage points
— Base-rate neglect: ignoring prevalence when interpreting tests
— Classic Step 3 stem: "Test 99% sensitive/specific for disease with 0.1% prevalence — what's the chance a positive truly has disease?" → answer ~9% (PPV)
— Paternalistic clinician + autonomy-preferring patient → conflict
— Patient wants direction; clinician overloads with numbers → decisional paralysis
— More than 3–4 numbers per visit → comprehension drops
— Written summary mitigates
— Some cultures favor family-based decisions; check preference rather than assume
— Pharma DTC ads (relative-only), social media, AI chatbots without context
— Address directly: "Where did you see that number? Let's look at it together."
— Trial sponsors emphasize RRR; clinician's job is to translate to ARR/NNT independently

— Risks change over time (age, new comorbidity, new evidence)
— Re-discuss statin, anticoagulation, screening at annual visits or with major status change
— Document re-discussion in problem list
— Diabetes: A1c target individualized via NNT for microvascular benefit vs NNH for hypoglycemia (ADA: tighter in younger/healthier, looser in elderly/frail)
— HTN: SPRINT-style intensive control NNT vs syncope/AKI NNH
— AF: annual reassessment of CHA₂DS₂-VASc and HAS-BLED
— Osteoporosis: drug holiday after 5 yr bisphosphonate — NNT for further fracture prevention falls
— Mammography ≥75: USPSTF "insufficient evidence" → SDM based on life expectancy and values
— Colonoscopy 76–85: individualize; >85 generally stop
— These are NNT-shrinks-with-shortening-time-horizon conversations
— Post-MI: dual antiplatelet NNT for recurrent MI vs NNH for bleeding — frame at discharge AND at 1-yr follow-up (DAPT duration decision)
— Anticoagulation post-PE: 3 mo vs extended — NNT for recurrence falls, NNH for bleed accumulates
— EHR-embedded risk calculators with NNT outputs
— Patient portal access to personalized risk summaries
— Pre-visit decision aids ("homework") improve in-visit efficiency

— Short interval (2–4 weeks) after initiating a preventive therapy: tolerability, adherence, address regret
— 3 months: lab monitoring as indicated (e.g., statin → ALT/CK only if symptomatic, lipid panel for response)
— Annually: re-evaluate risk, re-discuss continuation
— Statin: LDL response, muscle symptoms, new diabetes (NNH ~1/250)
— Anticoagulant: bleeding, renal function (DOAC dosing), annual reassessment
— Aspirin primary prevention: GI bleed, ICH — if NNH exceeds NNT, deprescribe
— SGLT2/GLP-1: GU infection, euglycemic DKA (SGLT2); GI side effects (GLP-1)
— Decisional regret scale, satisfaction with decision — useful in QI
— Validated literacy tools: REALM, TOFHLA, single-item screener
— "Are you still taking X? How is it going? Any side effects? Do you remember why we started it?"
— Re-anchor to NNT/NNH if patient's commitment is wavering
— Address misinformation surfacing between visits (social media, news, family advice)
— Lifestyle interventions (diet, exercise, smoking cessation) have better NNTs than many drugs for ASCVD prevention — communicate this explicitly
— Smoking cessation: NNT ≈ 10 to prevent 1 premature death over a lifetime — among the most powerful in medicine

1. Disclosure of nature, risks, benefits, alternatives, and consequences of refusal — including absolute risks
2. Capacity to understand and decide
3. Voluntariness (free of coercion)
— Reasonable physician standard: what a similar physician would disclose
— Reasonable patient (materiality) standard: what a reasonable patient would want to know — increasingly the legal norm; mandates patient-relevant absolute numbers
— Specific risks discussed with frequencies
— Decision aid used
— Teach-back result
— Patient's stated decision and reasoning
— Witness signature where required
— Consent forms signed without conversation ("signature ≠ consent")
— Last-minute consent on the procedure table (coercion concern)
— Consent by family without patient assessment when patient has capacity
— Use of family as interpreter (LEP) — breaches confidentiality and accuracy, Joint Commission violation
— Genetic risk results that reveal non-paternity, communicable disease, or duty-to-warn third parties (Tarasoff) require careful pretest framing
— Hospital discharge without explaining new med's NNT/NNH → poor adherence, readmission
— Use teach-back at discharge; medication reconciliation; scheduled follow-up within 7–14 days — these are CMS readmission-reduction levers
— Numeracy disparities compound healthcare disparities — universal-precautions communication is an equity intervention



Effective risk communication translates trial data into patient-specific absolute risk reduction, number needed to treat, and number needed to harm — framed with frequencies and visuals over a defined time horizon, paired with teach-back — because informed consent and shared decision-making are valid only when the patient genuinely understands the magnitude of benefit and harm.

