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Psych TopicsFoundations — biostatistics for psychiatry exams

Psych · Foundations — biostatistics for psychiatry exams

Biostatistics for psychiatry exams

Also known as Medical statistics psychiatry · p-value · Confidence interval · Number needed to treat · NNT · Odds ratio · Hazard ratio · Sensitivity specificity · ROC curve · Statistical power · Type I type II error · Kaplan-Meier · MRCPsych statistics

Exam-exhaustive biostatistics for FRANZCP and MRCPsych: p-values and CIs; Type I/II error and power; RR, OR, HR; ARR, RRR, NNT, NNH; sensitivity, specificity, PPV, NPV, likelihood ratios and ROC/AUC; Kaplan–Meier and Cox basics; worked psychiatry calculation pearls. FRANZCP-primary, globally tagged.

high22 referencesUpdated 26 July 202616 min readVerification in progress

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FRANZCPMRCPsychABPNMD-DNBNEET-SS

Red flags

  • p less than 0.05 treated as the probability the null is true or as proof of clinical importance — both are wrong
  • Relative risk reduction quoted without absolute risk reduction or NNT — classic marketing exaggeration
  • Underpowered negative trial sold as proof of equivalence — absence of evidence is not evidence of absence
  • Odds ratio read as relative risk when the outcome is common — magnitude is inflated
  • Excellent Sn/Sp from a high-prevalence clinic applied to community screening — PPV collapses (base-rate neglect)
  • NNT reported without outcome definition or time horizon — uninterpretable
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Practise this topic10 MCQs with explanations

Target exams

FRANZCPMRCPsychABPNMD-DNBNEET-SS

Red flags

  • p less than 0.05 treated as the probability the null is true or as proof of clinical importance — both are wrong
  • Relative risk reduction quoted without absolute risk reduction or NNT — classic marketing exaggeration
  • Underpowered negative trial sold as proof of equivalence — absence of evidence is not evidence of absence
  • Odds ratio read as relative risk when the outcome is common — magnitude is inflated
  • Excellent Sn/Sp from a high-prevalence clinic applied to community screening — PPV collapses (base-rate neglect)
  • NNT reported without outcome definition or time horizon — uninterpretable
The one-line answer

Exam biostatistics is estimation with honest error control: read the effect size and its confidence interval first, treat p only as compatibility with a null model, convert every relative claim into ARR and NNT at a stated baseline risk, keep Sn and Sp (test properties) apart from PPV and NPV (prevalence-dependent), and never let an underpowered negative trial be sold to you as proof of equivalence.[1][2][4][8][13]

Meet the exam question

The examiner puts one sentence in front of you, lifted from an abstract: "Adjunctive treatment produced a 43% relative improvement in response at eight weeks (p = 0.04)." Then: "Would you change your prescribing?"[3][8]

There is exactly one correct first move, and it is not an opinion. It is a question: what were the two event rates? Because 43% relative on a control response of 35% means the drug moved 35 out of 100 to 50 out of 100 — an absolute gain of 15 percentage points, NNT 7. The same 43% on a control response of 3.5% would mean an absolute gain of 1.5 points and NNT 67. Identical headline, two different clinics.[7][8]

Psychiatry is a hostile numerical environment: subjective rating scales, large placebo response, modest samples, many endpoints, and sparse hard events like suicide and relapse. Every one of those inflates false positives and widens intervals. This topic is the arithmetic that stops you being fooled.[3][18]

[1] [2] [5]
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References22ShowHide
  1. [1]Gardner MJ, Altman DG Confidence intervals rather than P values: estimation rather than hypothesis testing Br Med J (Clin Res Ed), 1986.PMID 3082422
  2. [2]Greenland S, Senn SJ, Rothman KJ, et al. Statistical tests, P values, confidence intervals, and power: a guide to misinterpretations Eur J Epidemiol, 2016.PMID 27209009
  3. [3]Sterne JA, Davey Smith G Sifting the evidence—what's wrong with significance tests? BMJ, 2001.PMID 11159626
  4. [4]Altman DG, Bland JM Absence of evidence is not evidence of absence BMJ, 1995.PMID 7647644
  5. [5]Freiman JA, Chalmers TC, Smith H Jr, Kuebler RR The importance of beta, the type II error and sample size in the design and interpretation of the randomized control trial. Survey of 71 "negative" trials N Engl J Med, 1978.PMID 355881
  6. [6]Schulz KF, Grimes DA Sample size calculations in randomised trials: mandatory and mystical Lancet, 2005.PMID 15823387
  7. [7]Laupacis A, Sackett DL, Roberts RS An assessment of clinically useful measures of the consequences of treatment N Engl J Med, 1988.PMID 3374545
  8. [8]Cook RJ, Sackett DL The number needed to treat: a clinically useful measure of treatment effect BMJ, 1995.PMID 7873954
  9. [9]Bland JM, Altman DG Statistics notes. The odds ratio BMJ, 2000.PMID 10827061
  10. [10]Grimes DA, Schulz KF Making sense of odds and odds ratios Obstet Gynecol, 2008.PMID 18238982
  11. [11]Spruance SL, Reid JE, Grace M, Samore M Hazard ratio in clinical trials Antimicrob Agents Chemother, 2004.PMID 15273082
  12. [12]Altman DG, Bland JM Diagnostic tests. 1: Sensitivity and specificity BMJ, 1994.PMID 8019315
  13. [13]Altman DG, Bland JM Diagnostic tests 2: Predictive values BMJ, 1994.PMID 8038641
  14. [14]Altman DG, Bland JM Diagnostic tests 3: receiver operating characteristic plots BMJ, 1994.PMID 8044101
  15. [15]Deeks JJ, Altman DG Diagnostic tests 4: likelihood ratios BMJ, 2004.PMID 15258077
  16. [16]Hanley JA, McNeil BJ The meaning and use of the area under a receiver operating characteristic (ROC) curve Radiology, 1982.PMID 7063747
  17. [17]Bland JM, Altman DG Survival probabilities (the Kaplan-Meier method) BMJ, 1998.PMID 9836663
  18. [18]Ioannidis JPA Why most published research findings are false PLoS Med, 2005.PMID 16060722
  19. [19]Guyatt GH, Oxman AD, Vist GE, et al. GRADE: an emerging consensus on rating quality of evidence and strength of recommendations BMJ, 2008.PMID 18436948
  20. [20]Jaeschke R, Guyatt GH, Sackett DL Users' guides to the medical literature. III. How to use an article about a diagnostic test. B. What are the results and will they help me in caring for my patients? JAMA, 1994.PMID 8309035
  21. [21]Bossuyt PM, Reitsma JB, Bruns DE, et al. STARD 2015: an updated list of essential items for reporting diagnostic accuracy studies BMJ, 2015.PMID 26511519
  22. [22]Higgins JP, Thompson SG, Deeks JJ, Altman DG Measuring inconsistency in meta-analyses BMJ, 2003.PMID 12958120

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