FRCS (ORL-HNS) · SECTION 1 SBA

Cluster-randomised trials and intracluster correlation

Twenty hospitals are randomised to a surgical checklist intervention or usual care. The sample-size calculation treats 2,000 operations as independent observations and ignores clustering. What is the main consequence?

CHOOSE ONE ANSWER

Best of five

  1. A. The intervention effect is necessarily biased toward benefit
  2. B. Allocation concealment becomes impossible in principle
  3. C. The effective sample size increases because patients share a hospital
  4. D. Only external validity is affected
  5. E. Precision is overstated and the study may be underpowered because the design effect was omitted
ANSWER AND REASONING

E. Precision is overstated and the study may be underpowered because the design effect was omitted

Cluster trials contain fewer independent units than their raw participant count suggests. Ignoring the design effect produces standard errors that are too small and an inadequate sample-size target.

Why every option is right or wrong

A. The intervention effect is necessarily biased toward benefit: Ignoring clustering primarily affects precision; the direction of the point estimate is not predetermined.

B. Allocation concealment becomes impossible in principle: Clusters can still be allocated with concealment before assignment.

C. The effective sample size increases because patients share a hospital: Correlation reduces, rather than increases, independent information.

D. Only external validity is affected: Within-cluster correlation directly affects variance, confidence intervals and power.

E. Precision is overstated and the study may be underpowered because the design effect was omitted: Outcomes within hospitals correlate; sample size and analysis must account for intracluster correlation and cluster size.

What if the scenario changed?

If the intracluster correlation were zero, the design effect would be one and individual-level precision calculations would coincide with the clustered design.

EDUCATIONAL USE

Independent Clinora educational preparation material; not official JCIE content, an accredited programme, or a substitute for local policy and specialist clinical judgement.

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