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. Author manuscript; available in PMC: 2011 Aug 1.
Published in final edited form as: J R Stat Soc Ser C Appl Stat. 2010 Aug 1;59(4):657–671. doi: 10.1111/j.1467-9876.2010.00711.x

Table 2.

Comparison of relative risk estimates for the occurrence of severe hypoglycemia (BG < 40mg/dL) at three time points

Interim
Analysis
Estimated Probabilities Estimated
Relative Risk
Estimator Group 1 Group 2 95% CI
1 Observed data (Successes/Trials) 0/3 0/4

Wald 0.0000 0.0000 Undefined N/A
Add psi=0.5 0.1250 0.1000 1.25 [0.03, 50.2]
Add psi=1.0 0.2000 0.1667 1.20 [0.1, 14.69]
Agresti-Min Uncond. Exact - - - -
Approx. Uncond. Exact - - - -
MUE-based 0.1032 0.0796 1.30 [0.21, 8.06]

2 Observed data (Successes/Trials) 1/9 0/11

Wald 0.1111 0.0000 [0,∞)
Add psi=0.5 0.1500 0.0417 3.6 [0.16, 79.01]
Add psi=1.0 0.1818 0.0769 2.36 [0.25, 22.7]
Agresti-Min Uncond. Exact 0.1111 0.0000 [0.173, ∞)
Approx. Uncond. Exact 0.1111 0.0000 [0.325, ∞)
MUE-based 0.1269 0.0305 4.16 [0.35, 13.89]

3 Observed data (Successes/Trials) 1/12 1/15

Wald 0.0833 0.0667 1.25 [0.09, 17.98]
Add psi=0.5 0.0833 0.0667 1.25 [0.09, 17.98]
Add psi=1.0 0.1429 0.1177 1.21 [0.2, 7.55]
Agresti-Min Uncond. Exact 0.0833 0.0667 1.25 [0.08, 20.38]
Approx. Uncond. Exact 0.0833 0.0667 1.25 [0.13, 11.57]
MUE-based 0.0961 0.0773 1.24 [0.13, 11.46]

Both the Agresti-Min unconditional exact and the asymptotic unconditional method were computed in StatXact v6.2 using the two-sided test inversion method. StatXact was unable to compute the unconditional exact confidence intervals for Interim Analysis 1 on account of the 2×1 table structure.