Skip to main content
. Author manuscript; available in PMC: 2010 Feb 18.
Published in final edited form as: J Am Stat Assoc. 2009;104(487):1203–1212. doi: 10.1198/jasa.2009.tm08096

Table 1.

Bias (×10−2), RMS (×10−2), SE (×10−2), SD–SE (×10−2), and RS of all 12 parameters under Ω1 and Ω2. BIAS denotes the bias of the mean of the ILSE estimates; RMS denotes the root-mean-square error; SE denotes the mean of the standard deviation estimates; SD–SE denotes the standard deviation of the standard deviation estimates; RS denotes the ratio of RMS over SD. Two different sample sizes {20, 80} and 500 simulated datasets were used for each case

n = 20 n = 80


BIAS RMS SE SD–SE RS BIAS RMS SE SD–SE RS
Ω1
β1 2.60 6.10 6.73 2.20 1.10 0.58 3.59 3.37 0.68 0.94
β2 1.78 6.10 6.61 1.72 1.08 0.06 3.90 3.61 0.55 0.92
β3 1.88 7.06 6.96 1.32 0.98 0.69 3.91 3.56 0.35 0.91
β4 1.15 6.86 6.89 1.30 1.01 0.35 3.83 3.51 0.33 0.92
β5 3.83 15.34 17.24 4.22 1.12 1.08 8.35 8.58 1.20 1.02
β6 2.83 15.07 16.97 3.76 1.12 0.54 8.45 8.46 0.95 1.01
β7 1.43 8.75 8.07 1.42 0.92 −0.37 4.19 4.10 0.39 0.98
β8 0.48 8.32 7.98 1.40 0.96 −0.44 4.12 4.06 0.38 0.98
β9 5.14 29.38 32.06 7.57 1.09 1.6   14.84 16.07 2.23 1.08
β10 3.97 28.88 31.59 7.14 1.09 1.05 14.84 15.85 1.77 1.07
β11 3.62 20.32 19.91 3.87 0.98 1.00 10.63 10.15 0.85 0.96
β12 2.69 20.11 19.68 3.83 0.98 0.53 10.48 10.03 0.84 0.96
Ω2
β1 2.76 6.87 6.73 2.21 0.97 0.59 4.00 3.7   0.57 0.93
β2 1.81 6.72 6.61 1.63 0.98 0.46 3.97 3.7   0.53 0.93
β3 1.96 7.74 7.23 1.27 0.93 0.23 3.72 3.54 0.36 0.95
β4 1.24 7.43 7.15 1.26 0.96 0.03 3.67 3.5   0.36 0.95
β5 3.08 11.63 12.61 2.85 1.08 1.02 6.87 6.33 0.73 0.92
β6 1.87 11.78 12.41 2.31 1.05 0.86 6.9   6.3   0.7   0.91
β7 1.56 8.44 8.26 1.46 0.98 0.11 4.5   4.2   0.34 0.93
β8 0.62 8.09 8.17 1.44 1.01 0.04 4.5   4.1   0.34 0.91
β9 2.75 18.90 19.75 4.14 1.04 1.06 10.74 9.93 1.09 0.93
β10 1.33 18.84 19.46 3.68 1.03 0.86 10.79 9.82 0.93 0.91
β11 3.87 16.68 15.49 2.54 0.93 −0.58 7.45 7.44 0.66 0.99
β12 2.88 16.46 15.31 2.51 0.94 −0.91 7.22 7.37 0.65 1.02