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. Author manuscript; available in PMC: 2020 Jan 1.
Published in final edited form as: J R Stat Soc Ser A Stat Soc. 2018 Jul 17;182(1):3–35. doi: 10.1111/rssa.12391

Table B2.

Results from baseline model simulations when the level two variance σu2 is set to 1 and the level three variance σv2 to 0.05.

Parameter \ Nk 5 10 15 20 25
Relative parameter bias (%)

β0
−0.39 0.30 −0.37 −0.13 0.64
β1
0.26 −0.01 −0.11 −0.03 0.01
β2
0.33 −0.27 0.09 0.10 0.04
β3
−0.28 0.16 −0.13 0.26 0.14
β4
0.11 −0.31 0.27 −0.08 −1.30
β5
−0.26 0.00 −2.36 −4.50 2.21
σu2
−0.75 −0.58 −0.56 −0.30 −0.14
σv2
−44.29 −29.31 −17.29 −12.81 −10.70

Non−coverage rate

β0
0.13* 0.10* 0.10* 0.07* 0.08*
β1
0.05 0.06 0.05 0.05 0.04
β2
0.04 0.05 0.06 0.05 0.06
β3
0.05 0.05 0.04 0.05 0.04
β4
0.05 0.06 0.05 0.05 0.04
β5
0.21* 0.12* 0.08* 0.09* 0.07*
σu2
0.09* 0.05 0.06 0.05 0.06
σv2
0.43* 0.29* 0.21* 0.17* 0.15*

Relative standard error bias (%)

β0
−17.60 −11.28 −10.10 −5.90 −2.19
β1
−0.85 −2.99 −0.51 2.02 3.34
β2
4.15 0.32 −1.73 0.22 −3.11
β3
1.84 −1.07 0.14 −2.10 1.34
β4
2.76 −3.93 1.57 .56 −0.63
β5
−13.38 −13.92 −10.42 −12.06 −6.85
σu2
−5.65 0.80 0.69 1.60 −2.12
σv2
−17.30 −14.25 −8.50 −6.66 −6.47

Note:

*

Significantly different from 0.05 at 5% significance level.