Biostatistics & Population Health
Numeracy and health literacy in risk communication
— Health literacy: capacity to obtain, process, and understand basic health information to make appropriate decisions (Healthy People 2030)
— Numeracy: ability to use and interpret quantitative information — probabilities, percentages, dosing, risk magnitudes
— Numeracy is a subdomain of health literacy but tracks independently; a patient may read fluently yet misinterpret "1 in 1000"
— ~36% of US adults have basic or below-basic health literacy (NAAL data)
— ~29% score at the lowest numeracy level; the elderly, Medicaid enrollees, those with <high-school education, and non-native English speakers are disproportionately affected
— Low numeracy is independent of IQ and overall literacy
— Forms returned incomplete or "I forgot my glasses"
— Patient identifies pills by color/shape rather than name
— Frequent missed appointments or medication errors
— Postpones decisions: "Whatever you think, doc"
— Poor adherence to warfarin, insulin, or any sliding-scale regimen — a numeracy red flag
— Inability to state when to take a "twice-daily" medication or convert "half a tablet"
— Risk communication failures drive nonadherence, preventable readmissions, malpractice claims, and disparities in screening uptake (mammography, colonoscopy, statin acceptance)
— Shared decision-making (SDM) legally and ethically requires the patient actually understand the numbers — not just hear them

— Discussing mammography starting at 40 vs 50: patient cannot weigh false-positive rates vs mortality benefit
— Statin for primary prevention: 10-year ASCVD risk of 9% — patient hears "low" and refuses
— Anticoagulation for AFib: CHA₂DS₂-VASc 3, HAS-BLED 2 — patient fixates on bleeding "chance"
— Prenatal aneuploidy screening: 1:250 quad-screen result misread as "I have Down syndrome"
— PSA screening: patient asks for the test because "my friend got cancer"
— Ask open-ended: "Tell me what you understand about your diabetes." Avoid "Do you understand?" — yes-bias is universal
— Medication reconciliation reveals doubled doses, skipped doses, or "I take it when I feel bad"
— Prior decisions made on anecdote rather than data ("My neighbor died on that drug")
— REALM (Rapid Estimate of Adult Literacy in Medicine) — reading recognition, ~2 min
— TOFHLA — comprehension, longer
— Newest Vital Sign (NVS) — uses an ice cream nutrition label, tests numeracy specifically, 3 min
— Single-Item Literacy Screener: "How confident are you filling out medical forms by yourself?" — answer of "a little/not at all" is sensitive
— "If a coin is flipped 1000 times, about how many heads?" (Schwartz numeracy item)
— "Which is the bigger risk: 1 in 100, 1 in 1000, or 1 in 10?"
— Inability is highly predictive of misunderstanding risk graphs

— Patient hands forms to a family member to complete
— Reads slowly, traces text with a finger, skips sections
— Misuses medical terms ("sugar diabetes," "water pills") — not pathognomonic but a cue
— Avoids eye contact when written material is presented
— Excuses: "I left my glasses," "I'll read it at home," "My daughter handles that"
— Cannot demonstrate inhaler, glucometer, or insulin pen technique despite verbal claim of competence
— Teach-back ("show-me" method): "To make sure I explained this well, can you tell me in your own words how you'll take this medicine?"
— Demonstration: have patient draw up insulin, use peak-flow meter, or load an EpiPen trainer
— Read-back of dosing label: "Take 1 tablet twice daily" — ~46% of low-literacy adults cannot translate this into a correct timing plan
— Ask the patient to interpret their own A1c, BP log, or INR trend
— Show a pictograph (100 smiley faces, X colored to represent risk) — comprehension of icon arrays is far higher than percentages
— Test ability to convert "5% chance" → "5 out of 100"
— Note literacy concerns in the chart descriptively (e.g., "used teach-back; patient correctly restated plan after two attempts"), not as a label
— Avoid stigmatizing terms; literacy is a system failure, not a patient deficit

— Absolute risk (AR): "7 out of 100 people like you will have a heart attack in 10 years"
— Relative risk reduction (RRR): "Cuts your risk by 25%" — inflates perceived benefit
— Absolute risk reduction (ARR): "Lowers your risk from 8 to 6 out of 100" (2 percentage points)
— Number needed to treat (NNT): "50 people take the drug for 5 years for 1 to avoid an event"
— Number needed to harm (NNH): companion metric for adverse effects
— Always present absolute numbers, not relative
— Use consistent denominators ("out of 1000" for all comparisons — never mix 1/100 with 1/1000)
— Use frequencies, not percentages, when possible ("3 out of 100" beats "3%")
— Pictographs/icon arrays outperform bar charts and text for low-numeracy adults
— Provide both benefits and harms side-by-side ("balanced framing")
— Avoid loss-framing alone ("you'll die without this") — pair with gain frame
— Denominator neglect: "1 in 10" feels bigger than "10 in 100"
— Framing effect: "90% survival" accepted more than "10% mortality" — same data
— Ratio bias: larger numerators feel scarier (24/1000 > 4/100 to many patients)
— Availability heuristic: a vivid anecdote outweighs base rates

— Classic example: A mammogram has 90% sensitivity, 91% specificity. Prevalence of breast cancer in a 40-year-old = ~0.8%. If positive, what is the probability she has cancer?
— Most physicians say 80–90%. Correct answer: ~7–9% (PPV)
— Reason: low pretest probability dominates; most positives are false positives
— Patients (and exam stems) routinely confuse sensitivity with PPV
— A positive result is not "a 90% chance you have the disease"
— Counseling must reframe: "Out of 100 women your age with a positive mammogram, about 9 will actually have cancer; the other 91 will not"
— Use natural frequency trees — start with 1000 people, branch by disease status, then by test result
— Example for prenatal screening: 1000 pregnancies → 1 has trisomy 21 → quad screen positive in that 1 plus ~50 of the unaffected → PPV ~2%
— This single visual converts "1 in 250 result" anxiety into appropriate next-step thinking (offer cfDNA or diagnostic amnio)
— Avoid "p-values" entirely; translate CIs as "the true benefit is somewhere between X and Y, most likely around Z"
— Wide CI → "we are not sure yet"; narrow CI → "we are confident"

— Tier 1 — Universal precautions: plain language, teach-back, limited concepts per visit (≤3), absolute numbers, written backup at 5th–6th grade level — applied to every patient
— Tier 2 — Targeted: for patients flagged by screener, observation, or high-stakes decision (anticoagulation, oncology, end-of-life) — add icon arrays, decision aids, longer visit, family involvement
— Tier 3 — Intensive: for major irreversible decisions (surgery, transplant, hospice) — formal shared decision-making with validated decision aid, multiple visits, interpreter if needed
— PSA screening (USPSTF Grade C, 55–69) — SDM is required
— Lung cancer screening LDCT (50–80, 20 pack-yr, current or quit <15 yr) — SDM is a CMS reimbursement requirement
— AFib anticoagulation
— Mastectomy vs lumpectomy + radiation
— Elective PCI for stable angina (per COURAGE/ISCHEMIA era counseling)
— Increase knowledge, improve risk perception accuracy, decrease decisional conflict
— Do not increase anxiety; often decrease elective procedure uptake when patients learn true marginal benefit
— Avoid percentages with denominators >100
— Always pair number with comparator ("about the same as your risk of…")
— Anchor to familiar referents (size of a stadium, deck of cards)

— Replace jargon: "hypertension" → "high blood pressure"; "lipids" → "blood fats"; "benign" → "not cancer"
— Short sentences, active voice
— Chunk and check: 2–3 key points per encounter, verify each with teach-back
— Avoid "negative" framing ("don't forget") — use positive ("take with breakfast")
— Provider says: "I want to make sure I did a good job explaining. Can you tell me how you'll take this medicine when you get home?"
— Patient restates → provider corrects gaps → patient restates again until accurate
— Studies: improves adherence, reduces 30-day readmissions in HF, improves A1c
— Frames error as the provider's, not the patient's — preserves dignity
— Ask what the patient already knows/wants to know
— Tell in plain language, ≤3 chunks
— Ask for restatement (teach-back) — closes the loop
— Target 5th–6th grade reading level (AMA/NIH recommendation)
— Tools: Flesch-Kincaid, SMOG readability formulas
— Large font (≥12 pt), high contrast, white space, illustrations
— Bullet points beat paragraphs
— Icon arrays/pictographs for risk (100 figures with proportional shading)
— Bar graphs for comparing two options
— Avoid pie charts for small risks (<10%) — wedges are unreadable
— Required by Title VI of the Civil Rights Act and Section 1557 of the ACA for any federally funded provider
— Use certified medical interpreters — not family members, not minors, not bilingual staff acting ad hoc
— Telephonic/video interpretation acceptable when in-person unavailable

— Structured tools that present options, outcomes, probabilities, and elicit values
— Must meet IPDAS (International Patient Decision Aid Standards) criteria
— Examples: Mayo Statin Choice, Option Grids, Ottawa Personal Decision Guide, AHRQ SHARE tools
— Best deployed before or during the visit, not handed at checkout
— ASCVD Pooled Cohort Equations — outputs 10-year and lifetime risk; patients struggle with "10-year" timeframe — translate to "if 100 people just like you…"
— CHA₂DS₂-VASc / HAS-BLED — present both stroke and bleed risk side by side; not stroke risk alone
— FRAX for osteoporosis, Gail for breast cancer, MELD for liver — same principle: convert to natural frequencies before presenting
— Health literacy universal precautions toolkit (AHRQ) — implementation guide for practices
— Pictogram-based medication labels (USP standard, e.g., "Take 1 tablet by mouth in the morning and 1 tablet by mouth at bedtime")
— Pill organizers, blister packs, once-daily formulations — reduce numeracy load
— Medication reconciliation at every transition — TJC National Patient Safety Goal
— Discharge summaries written at 6th-grade level with teach-back at discharge — reduces 30-day readmission
— Patient portals: often written at 10th–12th grade — a literacy barrier, not a solution
— Apps and SMS reminders improve adherence in low-numeracy populations when paired with simple visuals
— Beware digital divide — equity issue, especially elderly and rural

— Adults ≥65 have the lowest health literacy scores of any age group (NAAL)
— Compounded by presbyopia, presbycusis, mild cognitive impairment, polypharmacy
— ~40% of community-dwelling elders make at least one medication error monthly
— Smaller font on Rx labels and AVS (After Visit Summary)
— Multiple prescribers → conflicting instructions
— Complex regimens (>5 meds, multiple daily doses)
— Difficulty interpreting "as needed," "with food," sliding-scale insulin
— Larger print (≥14 pt), high-contrast materials
— Quiet room, face the patient, lower-pitched voice (presbycusis affects high frequencies first)
— One topic per visit when feasible; written summary to take home
— Involve caregiver with patient's consent (HIPAA-compliant) — but address the patient first
— Deprescribe to reduce numeracy burden (Beers Criteria, STOPP/START)
— Pill organizers, blister packs, once-daily dosing preferred
— Home health nurse visit for new insulin, anticoagulant, or inhaler
— If teach-back fails repeatedly despite plain language, screen with Mini-Cog or MoCA before assuming literacy alone
— Distinguish literacy (knowledge gap, modifiable with format) from MCI/dementia (executive dysfunction, requires caregiver-centered planning)
— Capacity is decision-specific and may fluctuate
— Low literacy alone does not equal lack of capacity
— A patient can have low numeracy yet retain full capacity if they can express choice, understand, appreciate, and reason about their situation

— Pediatric medication errors disproportionately affect parents with low numeracy (misreading mL vs tsp, weight-based dosing)
— Always dispense liquid meds with a dosing syringe, never a kitchen spoon
— Use mL only (the 2015 AAP policy) — eliminates teaspoon/tablespoon confusion
— Demonstrate the dose, then have parent demonstrate back
— Tools: HELP project materials, Health Literacy Universal Precautions for pediatrics
— Confidentiality discussions about contraception, STIs, mental health require developmentally appropriate plain language
— Assess teen's own literacy separate from parent's
— Prenatal screening (cfDNA, quad screen, NT) is a numeracy minefield
— Always present results as natural frequencies with prior risk × likelihood ratio framing
— Decision aids for VBAC, prenatal genetic testing, GBS prophylaxis improve informed consent
— Certified medical interpreter required (Title VI, ACA §1557)
— Family/friends, minors, ad-hoc bilingual staff are inappropriate except in true emergencies — and even then must be documented
— Written materials in patient's language, not English handed through interpreter
— Cultural concordance ≠ language concordance — both matter
— Visual impairment: large print, audio summaries, screen-reader-compatible portals
— Hearing impairment: ASL interpreter (in-person or VRI), not lip-reading or written notes alone for complex discussions — required under ADA
— Cognitive/intellectual disability: plain language, supported decision-making, guardian involvement per state law

— Medication errors: wrong dose, wrong frequency, dangerous duplications — leading cause of preventable outpatient adverse events
— Nonadherence: 50% of chronic-disease medications are not taken as prescribed; literacy/numeracy is a major modifiable driver
— Missed screening: lower mammography, colonoscopy, and vaccination rates in low-literacy populations
— Overuse: patients with low numeracy more likely to accept unnecessary screening (PSA, whole-body CT) due to misperceived benefit
— Underuse: declining statins, anticoagulants, vaccines based on misunderstood risk
— Worsened outcomes: higher A1c, BP, HF readmissions, all-cause mortality in low-literacy cohorts (independent of SES)
— Warfarin/DOACs: dose changes, INR interpretation, bleed/clot recognition
— Insulin: unit confusion, sliding scale errors, hypoglycemia recognition
— Methotrexate: weekly vs daily dosing — has caused fatal overdoses
— Opioids: "as needed" misinterpretation, overdose risk
— Pediatric liquids: 10-fold dosing errors
— Higher 30-day readmission rates — CMS HRRP penalties
— Increased ED utilization for ambulatory-sensitive conditions
— Disparities in chronic disease control
— Malpractice exposure — failure of informed consent
— Low health literacy is concentrated in marginalized populations and amplifies existing health disparities
— Addressing literacy is a structural intervention, not a patient-blaming exercise

— ≥5 chronic medications, multiple prescribers, recent transition of care
— New anticoagulant, insulin, immunosuppressant, or chemotherapy
— Repeated dosing errors or adherence failures
— Pharmacist-led medication therapy management (MTM) is reimbursed under Medicare Part D for eligible beneficiaries
— New T1DM/T2DM diagnosis
— Insulin initiation
— A1c not at goal despite intensified regimen
— Hypoglycemia unawareness
— Medicare covers DSMT (Diabetes Self-Management Training) — 10 hours initial, 2 hours/year ongoing
— Housing, food insecurity, transportation barriers compound literacy issues
— Insurance/coverage gaps blocking medication access
— Need for home health, durable medical equipment, or community resources
— Anxiety/depression interfering with comprehension or adherence
— Health literacy + low motivation suggests motivational interviewing is indicated
— Recurrent admissions for the same ambulatory-sensitive condition (HF, COPD, DKA) + identified literacy barrier → transitional care intervention (e.g., Coleman Care Transitions, Project BOOST, Project RED) at discharge
— These bundles include: simplified med list, teach-back, follow-up call at 48–72 hours, PCP appointment within 7 days
— New insulin, new anticoagulant, complex wound care, oxygen, tube feeding, recent stroke — particularly when literacy is limited
— Reduces 30-day readmission

— Patient's framework for illness differs from biomedical model
— Use Kleinman's questions: "What do you think caused it? What does it do to you? What do you fear most?"
— Intervention: cultural humility, negotiation of treatment plan
— Historical and ongoing medical mistrust (Tuskegee, Henrietta Lacks, ongoing disparities) — particularly relevant in Black, Indigenous, and immigrant communities
— Intervention: build trust over time, acknowledge legitimacy of concerns, do not dismiss
— Patient understands risk but is not ready to change (precontemplation per Stages of Change)
— Intervention: motivational interviewing, not more education

— ~25% of US adults report skipping doses, splitting pills, or not filling Rx due to cost
— Especially with insulin, inhalers, DOACs, oncology drugs
— Intervention: generic substitution, $4 lists, patient assistance programs, 340B, Medicare Extra Help (LIS), pharmacy benefits manager review
— Rural, elderly, disabled patients may not reach the pharmacy or clinic
— Mail-order pharmacy, telehealth, community health workers
— Medicaid non-emergency medical transportation benefit
— Coverage changes mid-treatment cause formulary disruption, prior auth delays, gaps in care
— Particularly disruptive for transitions (hospital discharge, post-partum Medicaid loss)
— Multiple specialists, multiple EMRs, conflicting recommendations
— Intervention: medical home model, care coordinator, shared care plan
— Rushed visits (<15 min), failure to use teach-back, jargon, no written summary
— Mismatched expectations about who follows up on results
— Test result communication failures are a top malpractice claim
— Most adverse drug events occur within 30 days of discharge
— Causes: incomplete med rec, no follow-up appointment, AVS at 12th-grade reading level, no teach-back
— Solution bundles: Project RED, Coleman, BOOST (see chunk 12)
— Patient portal use lowest among elderly, low-income, rural, non-English speakers — the same populations with lowest health literacy
— Do not assume MyChart messaging is adequate follow-up

— Plain language and teach-back at every visit, not just new diagnoses
— Reassess understanding at each medication change, each abnormal result, each transition
— Document literacy-related accommodations in the chart
— Diabetes: annual DSME refresher, glucometer/CGM technique check, insulin pen demo, sick-day rules in plain language, hypoglycemia action plan with pictures
— HF: daily weight log with action thresholds ("if up 3 lb in 2 days, call us"), low-sodium diet handout at 5th-grade level, medication "zone" tool (green/yellow/red)
— Asthma/COPD: written action plan with color zones; inhaler technique reassessed at every visit (most patients use inhalers incorrectly even years in)
— Anticoagulation: anticoag clinic follow-up, INR log if warfarin, bleed/clot warning signs with examples, drug-drug/diet interaction handout
— Hypertension: home BP log with target range, action plan for high readings
— Annual comprehensive med review
— Deprescribing per Beers/STOPP at each transition
— Pill organizer or blister pack
— Synchronize refills to one date ("med sync")
— With patient consent, identify a "health partner" who attends visits and shares plan
— Especially important in dementia, complex chemo, transplant
— Motivational interviewing for sustained change
— Group visits and peer support (e.g., diabetes group medical visits)
— Patient navigator programs for cancer, transplant, complex chronic disease
— Community health workers / promotoras — proven to improve outcomes in low-literacy populations

— New high-risk medication (insulin, warfarin, DOAC, opioids, methotrexate): phone or in-person follow-up within 1–2 weeks
— Post-hospital discharge: call within 48–72 hours, clinic visit within 7 days (sooner for HF, COPD exacerbation)
— New chronic diagnosis: follow-up within 2–4 weeks for second teaching pass
— Stable chronic disease: quarterly to annual per condition; always reassess literacy at transitions
— Adherence: refill records, pill counts, MPR (medication possession ratio), self-report with non-judgmental framing ("Most people miss doses sometimes — how often does that happen for you?")
— Comprehension: teach-back at each visit on the highest-stakes element (warning signs, dose changes)
— Outcomes: disease-specific markers (A1c, BP, INR, daily weight, peak flow)
— Adverse events: specifically asked, not waited for
— Use motivational interviewing for behavior change: open-ended questions, affirmations, reflective listening, summaries (OARS)
— Use 5 A's for behaviors (smoking, alcohol, weight): Ask, Advise, Assess, Assist, Arrange
— Avoid lecturing; elicit the patient's reasons for change
— Document literacy-related interventions: "Teach-back used; patient correctly restated insulin dosing on second attempt"
— Document SDM: "Reviewed [decision aid]; patient understands ~7% 10-year ASCVD risk and elects statin / declines statin"
— Document interpreter use: name/ID, language, modality
— CAHPS surveys include communication items
— HCAHPS "communication about medications" is a publicly reported hospital metric
— Value-based care contracts increasingly include health literacy–sensitive measures

— Three pillars: disclosure, capacity, voluntariness — disclosure fails if the patient cannot understand the numbers
— A signed consent form is not legally protective if the patient never understood the risks — courts apply the reasonable patient standard (what a reasonable patient would want to know)
— Document teach-back as evidence of comprehension, especially for high-risk procedures
— Edge case: A patient with low numeracy signs consent for elective surgery but cannot restate the major risks. The ethically correct next step is to re-explain using plain language and visuals, reassess, and only proceed if comprehension is demonstrated — even if it delays the case.
— Required (CMS) for lung cancer screening LDCT
— Ethically required for any preference-sensitive decision: PSA, mammography 40–49, statin primary prevention, AFib anticoagulation, mastectomy vs lumpectomy
— SDM is not "patient chooses alone" — it is shared, with the clinician offering expertise and the patient offering values
— Plain-language reporting of medical errors is required (TJC, state law) — patients must be told what happened, what it means, what's next in language they understand
— Discharge AVS at high reading level + no teach-back + new high-risk meds = predictable harm; this is a patient safety event by NQF and TJC standards
— Failure to ensure understanding at discharge has been the basis for malpractice judgments
— Section 1557 of ACA prohibits discrimination by language, disability, race
— Failure to provide interpreters or accessible materials = civil rights violation, not merely poor service
— Family interpreters may compromise confidentiality (reproductive, mental health, IPV)
— Always offer the patient a private discussion with a professional interpreter before involving family


— A 55-year-old asks about her statin benefit. ASCVD 10-yr risk is 12%; statin reduces RR by 25%.
— Right answer: "In 10 years, about 12 of 100 people like you would have a heart attack or stroke without the medicine, and about 9 of 100 with the medicine."
— Wrong answers: "It cuts your risk by 25%" (RRR, inflates); "Your p-value is significant" (meaningless to patient); "Just trust me" (paternalism)
— Diabetic patient on new insulin nods through teaching but later presents with hypoglycemia from doubled doses.
— Right answer: Use teach-back at the next visit and simplify the regimen.
— Wrong answers: Hand a more detailed pamphlet; switch to a different insulin without addressing comprehension.
— LEP patient brings adult son to interpret consent for elective surgery.
— Right answer: Use a certified medical interpreter (in-person, telephonic, or VRI).
— Wrong answers: Proceed with son interpreting; postpone indefinitely; document patient declined interpretation.
— Patient receives a positive mammogram and asks if she has cancer.
— Right answer: Explain PPV using natural frequencies ("of 100 women with a positive result, about 9 actually have cancer"), then arrange diagnostic follow-up.
— Wrong answers: Reassure without numbers; quote sensitivity; order diagnostic test without explanation.
— 60-year-old man asks about PSA.
— Right answer: Shared decision-making with a decision aid.
— Wrong answers: Order PSA; refuse to discuss; order without SDM.
— Elderly HF patient with low literacy readmitted thrice.
— Right answer: Transitional care bundle — teach-back at discharge, simplified action plan, home health, 48–72 hr call, 7-day follow-up.
— Wrong answers: Increase diuretic dose alone; refer to cardiology only.
— Patient splitting insulin doses to save money.
— Right answer: Screen for cost, connect with assistance, switch to affordable alternative.

— Format matters: absolute risk > relative risk; natural frequencies (3 of 100) > percentages > probabilities; consistent denominators; icon arrays beat words; avoid pie charts for small risks; pair gain and loss framing.
— Technique matters: universal precautions for every patient; plain language at 5th–6th grade level; ≤3 key points per visit; teach-back to verify; Ask-Tell-Ask for new information; motivational interviewing for behavior change; certified medical interpreters (never family/minors) for LEP.
— Decisions matter: preference-sensitive choices (PSA, LDCT lung screening, AFib anticoagulation, statin primary prevention, mastectomy vs lumpectomy) require shared decision-making with a validated decision aid; document the conversation; PPV (not sensitivity) is what patients need after a positive screen, explained via a Bayesian frequency tree.
— Systems matter: transitions of care are the highest-risk literacy moments; bundle simplified discharge instructions, teach-back, home health when indicated, 48–72-hour follow-up call, and clinic visit within 7 days; screen for cost-related nonadherence; deprescribe to reduce numeracy load in the elderly; color-zone action plans for asthma, HF, and anticoagulation.

