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. Author manuscript; available in PMC: 2012 Nov 21.
Published in final edited form as: Stat Commun Infect Dis. 2011 Oct;3(1):1037. doi: 10.2202/1948-4690.1037

Table 7.

Power for Testing that an Immunological Biomarker has Some Surrogate Endpoint Value: H0: VE(s) = VE versus H1: VE(s) varies in s [Sub-Sampling]*.

Analysis Counts Infections Analysis Counts Infections
Diagnosed Through 24 Months Diagnosed Through 36 Months
True VE(s) 1Vac
Arm
2Vac
Arms
3Vac
Arms
1Vac
Arm
2Vac
Arms
3Vac
Arms
BIP + CRPV Design
VE(s) = 0.50
(Null)
0.03 0.04 0.05 0.04 0.04 0.05
VE(s) = mod
increase
0.27 0.35 0.41 0.43 0.58 0.68
VE(s) = large
increase
0.58 0.77 0.84 0.71 0.86 0.94
BIP Design
VE(s) = 0.50
(Null)
0.04 0.05 0.05 0.04 0.05 0.05
VE(s) = mod
increase
0.34 0.44 0.48 0.57 0.69 0.71
VE(s) = large
increase
0.71 0.84 0.89 0.86 0.94 0.96
CRPV Design
VE(s) = 0.50
(Null)
0.05 0.04 0.05 0.03 0.06 0.04
VE(s) = mod
increase
0.1 0.11 0.13 0.15 0.17 0.2
VE(s) = large
increase
0.15 0.17 0.20 0.22 0.3 0.34
*

For the BIP + CRPV and BIP designs the BIP has linear correlation 0.8 with the immunological biomarker S. For the BIP + CRPV and CRPV designs, among placebo recipients uninfected at closeout, 10 times more than the number of placebo recipients infected over the first 36 months are crossed over to the vaccine arm and have S measured.