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. Author manuscript; available in PMC: 2012 Dec 6.
Published in final edited form as: Stat Biosci. 2012 Nov 1;4(2):262–281. doi: 10.1007/s12561-012-9061-x

Table 2.

Simulation results for GR(x) = x and GT (x) = log(1 + x). Bias and SE are the bias and the standard deviation estimates, SEE is the average of the standard error estimator, and CP is the coverage probability of 95% confidence intervals. τ denotes the study duration.

Parameter True N = 200
N = 400
Bias SE SEE CP Bias SE SEE CP
φ = (0.5, 0.2)
β1 0.7 −.009 .084 .082 .935 −.008 .058 .058 .949
1.0 −.003 .120 .119 .956 −.006 .085 .084 .939
0.5 −.007 .104 .103 .943 −.002 .074 .073 .940
σe2
1.0 .002 .041 .041 .955 .001 .030 .029 .946
β2 1.0 −.003 .157 .156 .957 −.006 .107 .108 .956
0.5 −.009 .135 .132 .950 −.001 .091 .092 .949
ΛR(τ/4) 0.6 −.006 .081 .080 .949 −.006 .056 .056 .943
ΛR(τ/2) 1.2 −.012 .156 .154 .953 −.016 .109 .107 .939
β3 1.0 .010 .282 .284 .952 .001 .198 .198 .954
0.5 .004 .228 .241 .966 .005 .168 .169 .951
φ 0.5 −.009 .349 .367 .969 .007 .245 .246 .957
0.2 −.012 .436 .444 .969 −.011 .301 .299 .949
ΛT(τ/4) 0.1 .004 .036 .037 .965 −.002 .026 .026 .966
ΛT(τ/2) 0.4 −.000 .136 .131 .953 .000 .093 .092 .948
σ12
0.5 −.009 .070 .069 .956 −.004 .049 .049 .949
σ22
0.5 .015 .145 .112 .945 .009 .078 .078 .941
ρ 0.5 −.002 .108 .108 .961 −.004 .073 .075 .953
φ = (0, 0.2)
β1 0.7 −.008 .082 .082 .950 −.008 .057 .058 .954
1.0 −.001 .120 .119 .953 −.005 .084 .084 .948
0.5 .001 .106 .103 .945 −.006 .071 .072 .958
σe2
1.0 .001 .041 .041 .947 .001 .028 .029 .953
β2 1.0 −.011 .151 .152 .956 −.005 .111 .108 .938
0.5 .005 .134 .130 .944 −.002 .092 .092 .944
ΛR(τ/4) 0.15 −.001 .081 .079 .944 −.007 .056 .055 .943
ΛR(τ/2) 0.6 −.005 .151 .151 .947 −.019 .106 .106 .949
β3 1.0 .013 .276 .276 .951 .023 .193 .192 .947
0.5 .009 .234 .235 .950 .003 .163 .164 .947
φ 0.0 .014 .367 .357 .963 .008 .246 .241 .956
0.2 −.029 .459 .440 .956 −.045 .297 .293 .942
ΛT(τ/4) 0.1 −.004 .036 .036 .955 −.004 .025 .025 .949
ΛT(τ/2) 0.4 .004 .126 .128 .959 −.010 .085 .087 .952
σ12
0.5 −.006 .070 .068 .951 −.005 .049 .048 .955
σ22
0.5 .007 .112 .110 .943 .011 .077 .077 .946
ρ 0.5 −.007 .108 .107 .959 −.004 .073 .074 .959