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. 2021 Dec 23;24(2):502–517. doi: 10.1093/biostatistics/kxab043

Table 3.

For selected endpoints in the SEARCH Study, point estimates, 95% confidence intervals, and efficiency comparisons when estimating the intervention effect in Stage 2 with the unadjusted estimator and with TMLE using Adaptive Prespecification. All approaches adjusted for individual-level missingness in Stage 1.

    Breaking the matches Keeping the matches
  Stage 2 Effect (95% CI) Efficiency Effect (95% CI) Efficiency
HIV incidence Unadjusted 0.98 (0.66, 1.45) 1 0.98 (0.78, 1.24) 3.1
  TMLE 0.96 (0.73, 1.26) 2.1 0.96 (0.8, 1.17) 4.6
TB incidence Unadjusted 0.79 (0.64, 0.98) 1 0.79 (0.69, 0.92) 2.2
  TMLE 0.8 (0.67, 0.95) 1.4 0.8 (0.69, 0.91) 2.6
Hypertension control Unadjusted 1.19 (1.1, 1.3) 1 1.19 (1.11, 1.28) 1.7
  TMLE 1.18 (1.1, 1.26) 1.6 1.19 (1.11, 1.27) 1.8
Viral suppression Unadjusted 1.15 (1.11, 1.2) 1 1.15 (1.11, 1.2) 1
  TMLE 1.16 (1.13, 1.2) 1.1 1.15 (1.11, 1.2) 1

Efficiency: Variance estimate for the unadjusted effect estimator breaking the matches used for randomization, divided by the variance estimate of another approach (e.g., TMLE with Adaptive Prespecification, keeping the matches used for randomization).