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. Author manuscript; available in PMC: 2014 Apr 15.
Published in final edited form as: Stat Med. 2012 Sep 23;32(8):1394–1406. doi: 10.1002/sim.5635

Table IV.

Simulation results for the estimation of the parameters. Bias is the mean of estimates minus the true values; Percent of Biasis the bias as a percentage of the true value. SE is the empirical standard error of the estimates; Mean SE is the mean of estimated standard errors; CP is the empirical coverage probability of the 95 per cent confidence interval for the parameters.

Terminal Decline Model
Parameter True Bias Percent of
Bias (%)
SE Mean.SE CP (%)
β0 108.44 −0.048 −0.04 2.45 2.45 95.27
β1 12.03 0.073 0.61 3.51 3.46 95.16
β2 3.99 0.028 0.70 0.43 0.44 94.84
β3 0.088 −0.0054 −6.14 0.055 0.06 95.69
β4 −1.37 −0.051 3.72 0.58 0.60 95.43
β5 −0.060 0.007 −11.67 0.089 0.096 95.11
σ 18.22 −0.21 −1.15 1.02 1.04 95.00
τ 11.36 −0.023 −0.20 0.34 0.34 95.69
ν 9.95 0.02 0.20 0.70 0.73 95.11
α 0.019 0.0007 3.68 0.006 0.005 93.40
Survival Model
θ1 0.052 0.0003 0.58 0.006 0.006 96.12
θ2 0.033 0.0003 0.91 0.006 0.006 95.00
θ3 0.077 0.0001 0.13 0.007 0.008 95.85
θ4 0.019 0.0003 1.58 0.005 0.005 94.95