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. 2015 May 18;16(4):754–771. doi: 10.1093/biostatistics/kxv015

Table 1.

Settings and parameter estimation results for the simulation study in Section 6. The first part of the table displays the true curves used in the model. The second part of the table displays the true value, the average estimates and the mean squared errors (MSE) of the parameters in the joint model. Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic are the variances of Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic and Inline graphic respectively. The number marked with an asterisk is the actual number multiplied by Inline graphic. The lower part of the table displays the rate of true null hypothesis for 4 methods with Inline graphic. PENInline graphic represents the penalized likelihood with Inline graphic knots. UNInline graphic, UNInline graphic and UNInline graphic are the unpenalized likelihood methods with Inline graphic, Inline graphic and Inline graphic knots, respectively

Inline graphic Inline graphic
Inline graphic Inline graphic Inline graphic
Inline graphic Inline graphic Inline graphic
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Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
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Inline graphic Inline graphic
Parameter Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic
True 1.00 8.00 4.00 6.00 3.00 4.00 2.00 2.00 1.00
Mean 1.00 8.33 3.86 6.00 2.86 3.89 2.00 1.95 0.93
MSE 0.08Inline graphic 2.11 0.55 0.26 0.11 0.18 0.04 0.03 0.02
Complete data Missing data Complete data Missing data
Inline graphic Inline graphic Inline graphic Inline graphic
PEN10 0.37 0.32 0.62 0.46
UN10 0.06 0.08 0.07 0.06
UN24 0.06 0.15 0.05 0.07
UN30 0.10 0.23 0.04 0.07