Question

Difficulty: Very hardBias and Confounding in Research

A large retrospective cohort study evaluates the association between severe nocturnal continuous positive airway pressure (CPAP) non-adherence and the 5-year incidence of major adverse cardiovascular events (MACE).

Initial analysis reveals a crude relative risk (RR) of 2.8 (95% CI: 2.1 - 3.7) for MACE in CPAP non-adherent patients compared to adherent patients. The investigators perform stratified analyses for Body Mass Index (BMI) and concurrent beta-blocker therapy:

Stratification VariableStratumRelative Risk (95% CI)
BMI≥\geq 35 kg/m2^21.1 (0.8 - 1.4)
<< 35 kg/m2^21.2 (0.9 - 1.6)
Beta-blocker therapyActive use1.0 (0.7 - 1.3)
No use4.5 (3.2 - 6.1)

Based on these stratified analyses, which of the following biostatistical approaches are mathematically appropriate for handling these variables in the final analysis? (Select all that apply)

  1. For BMI, report a single adjusted relative risk using multivariable regression or Mantel-Haenszel pooling.Answer
  2. B
    For concurrent beta-blocker use, calculate and report an adjusted relative risk to control for its confounding effect.
  3. For concurrent beta-blocker use, report the stratum-specific relative risks separately to demonstrate the differing association.Answer
  4. D
    For BMI, report the stratum-specific relative risks separately because the variation between the crude and stratified risks indicates effect modification.
  5. E
    Report the crude relative risk of 2.8 as the primary finding without adjustment, as stratification introduces selection bias.

Answer

The researchers should report a single adjusted relative risk for BMI (a confounder) and report stratum-specific relative risks separately for beta-blocker use (an effect modifier).
BMI is a confounder because the crude relative risk (2.8) differs significantly from the stratified relative risks (1.1 and 1.2), which are similar to each other. In the analysis phase, confounding is managed by calculating an adjusted (pooled) estimator to remove the distortion. Conversely, beta-blocker use is an effect modifier because its stratified relative risks (1.0 and 4.5) differ significantly from each other. Effect modifiers represent true interactions and should never be pooled; instead, their stratum-specific risks must be reported separately to show how the exposure's effect changes based on the modifier.

Step-by-Step Solution

1
Analyze the relationship between the crude RR and the BMI-stratified RRs.
The crude RR (2.8) differs significantly from the stratified RRs (1.1 and 1.2), which are statistically similar to each other.
This pattern defines confounding. BMI is artificially inflating the crude risk.
2
Determine the appropriate statistical handling for a confounder in the analysis phase.
Calculate and report an adjusted (pooled) relative risk using Mantel-Haenszel methods or multivariable regression.
Confounders distort the true association; pooling controls for this distortion to provide a single, accurate estimate.
3
Analyze the relationship between the crude RR and the beta-blocker-stratified RRs.
The stratified RRs (1.0 and 4.5) differ significantly from each other.
This pattern defines effect modification. The true effect of CPAP non-adherence depends entirely on whether the patient is taking a beta-blocker.
4
Determine the appropriate statistical handling for an effect modifier in the analysis phase.
Report the stratum-specific relative risks separately.
Because the biological relationship is fundamentally different in each group, pooling the data would obscure important clinical information.

Key Concept

Distinguishing Confounding from Effect Modification and applying appropriate statistical reporting methods for each.
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