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生物統計與研究設計

Biostatistics & Study Design (Hematology-Oncology)
跨領域 未策展 更新 2026-08-02

概覽

Buzzwords → Dx

Concept Detail
Sensitivity True positive rate; SnNout (highly Sn → Negative result rules Out)
Specificity True negative rate; SpPin (highly Sp → Positive result rules In)
PPV TP / (TP + FP); depends on prevalence
NPV TN / (TN + FN); depends on prevalence
Likelihood ratios LR+ = sens/(1-spec); LR- = (1-sens)/spec; independent of prevalence
Pre-test → Post-test probability Bayes; LR shifts probability
Risk = events / total at risk Cumulative incidence
Odds = events / non-events Used in case-control studies
Relative risk (RR) Risk in exposed / risk in unexposed; cohort / RCT
Odds ratio (OR) Odds in cases / odds in controls; case-control
Hazard ratio (HR) Survival analysis (Cox); time-to-event
NNT (Number Needed to Treat) 1 / Absolute Risk Reduction (ARR); fewer NNT = better
NNH (Number Needed to Harm) 1 / Absolute Risk Increase
ARR Risk in control - risk in treated
RRR (Relative Risk Reduction) (Risk control - risk treated) / risk control
Kaplan-Meier curve Survival probability over time; censoring handled
Log-rank test Compare survival curves between groups
Cox proportional hazards Multivariable survival; HR + 95 % CI
Median PFS / OS Time at which 50 % progressed / died
PFS (progression-free survival) Time to progression OR death
OS (overall survival) Time to death from any cause; gold standard
DFS (disease-free survival) After complete remission; recurrence or death
EFS (event-free survival) Broader; treatment failure / relapse / death
ORR / CR / PR Response rate definitions; criteria-specific (RECIST, IWG, IMWG)
Intention-to-treat (ITT) Analyze as randomized; preserves benefit of randomization
Per-protocol (PP) Only completers; introduces bias
Type I error (α) False positive; usually 0.05
Type II error (β) False negative; usually 0.20
Power (1 - β) Ability to detect effect; usually ≥80 %
p-value Probability of observed result under H₀; ≤0.05 typically "significant"
Confidence interval (95% CI) Range plausible; if RR/OR/HR CI excludes 1.0 → significant
Lead-time bias Earlier diagnosis without prolonging life — appears to extend survival
Length-time bias Slower-growing tumors more likely detected by screening
Selection bias Non-random recruitment skews findings
Confounding Third variable affects both exposure and outcome
Effect modification (interaction) Effect of treatment varies by subgroup
Surrogate endpoint Earlier marker; e.g., MRD, CR rate, PFS for OS
Crossover trial Patients on control can switch to treatment at progression — confounds OS

分類與診斷

Study Design Hierarchy

  • Meta-analysis / systematic review — synthesizes RCTs
  • RCT — gold standard for causation; randomization eliminates confounding
  • Prospective cohort — exposure measured before outcome
  • Retrospective cohort / case-control — easier; bias-prone
  • Case series / case report — hypothesis-generating

治療

Treatment Algorithm — Reading a Trial

flowchart TD
  A[New trial publication] --> B[Population: who was included?<br>generalizability to your patient]
  B --> C[Intervention vs comparator<br>was control SOC?]
  C --> D[Outcome: PFS / OS / ORR / etc.<br>surrogate vs definitive?]
  D --> E[Effect size: HR / OR / RR + 95% CI<br>does CI exclude 1.0?]
  E --> F[Statistical significance: p-value]
  F --> G[Clinical significance: NNT, ARR<br>magnitude relevant to patient?]
  G --> H[Subgroup analyses: hypothesis-generating, not confirmatory]
  H --> I[Quality: ITT analysis? blinding? attrition?]
  I --> J[Apply to patient with shared decision-making]

陷阱與考點

Pearls / Pitfalls

  • CI excluding 1.0 = statistically significant for ratios (OR, RR, HR). For absolute differences (ARR, NNT), the significance line is 0.
  • OS is gold standard; PFS is surrogate. Crossover trials complicate OS interpretation (control can switch to active at progression — diluting OS difference).
  • NNT < 50 is generally considered clinically meaningful; NNT depends on baseline risk + ARR.
  • Sensitivity / specificity are intrinsic to test; PPV / NPV depend on prevalence.
  • Likelihood ratios are prevalence-independent and shift pre-test probability.
  • Subgroup analyses are hypothesis-generating; not confirmatory unless pre-specified + adjusted for multiple comparisons.
  • Intention-to-treat preserves randomization — preferred primary analysis. Per-protocol introduces bias from differential dropout.
  • Lead-time bias in screening — earlier diagnosis appears to extend survival without changing outcome. Length-time bias — screen catches slower-growing tumors disproportionately.
  • Hazard ratio interpretation: HR 0.50 means 50 % reduction in hazard at any time point (assumes proportional hazards).
  • Median survival is robust to outliers; mean is not. KM curves visualize.
  • Cox regression allows multivariable adjustment for prognostic variables; reports HR with CI.
  • Type I error = false positive (claiming benefit that isn't there); Type II = false negative (missing real benefit).
  • p-value < 0.05 does NOT prove benefit — context, magnitude, biological plausibility, replication all matter.
  • Adaptive trial designs: master protocols, basket / umbrella trials common in oncology (e.g., BATTLE-2, NCI-MATCH).
  • Surrogate endpoints: ORR, CR, MRD-negativity, PFS — accelerated approval pathway in oncology, not always confirming OS.
  • Cox proportional hazards assumption — violated when curves cross; use stratified or time-varying coefficients.
  • Competing risks in oncology (death from non-cancer causes) — Fine-Gray model, cumulative incidence functions.

延伸

Cross-references

相關題目

  • Q-214 — Biostats — sensitivity vs specificity, PPV / NPV
  • Q-215 — Biostats — hazard ratio interpretation
  • Q-216 — Biostats — number needed to treat (NNT)

來源

Sources

Footnotes

  1. Centre for Evidence-Based Medicine (CEBM). Levels of Evidence; clinical statistics primer. https://www.cebm.ox.ac.uk/

  2. Stanley K. Design of randomized controlled trials. Circulation 2007;115(9):1164–1169. doi:10.1161/CIRCULATIONAHA.105.594945.