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. Author manuscript; available in PMC: 2019 Feb 20.
Published in final edited form as: Stat Med. 2017 Nov 21;37(4):507–518. doi: 10.1002/sim.7561

Table 4.

Properties of estimates based on 1000 simulations. Estimates are mean values over simulations. The sample size ratio is the size of the new trial divided by the average size of the previous trials. The 95% prediction was computed at the median value of the effect of treatment on the surrogate endpoint among the previous trials.

Sample size ratio Number of trials Between-trial standard error =σ Slope = β Coverage of the 95% prediction interval
True Approximate MLE MLE True Approximate MLE MLE
1.0 10 5 4.37 4.37 2 2.00 2.01 0.93
2 1.41 1.41 2 2.00 2.00 0.99
30 5 4.80 4.80 2 2.00 2.00 0.96
2 1.67 1.67 2 2.00 2.01 1.00
0.2 10 5 4.37 4.37 2 2.00 2.00 1.00
2 1.41 1.41 2 2.00 2.00 1.00
30 5 4.80 4.80 2 2.00 2.00 1.00
2 1.67 1.67 2 2.00 2.00 1.00