Joint latent class model: Simulation study of model properties and application to amyotrophic lateral sclerosis disease

Table 3 Simulations results: empirical coverage rates of estimated 95% confidence intervals according to number of individuals, n, and to the censoring rate, τ, high separation setting

n	τ	\(\hat {\beta }_{0g}\)		\(\hat {\beta }_{1g}\)		\(\hat {\zeta }_{1g}\)		\(\hat {\zeta }_{2g}\)
		g=1	g=2	g=1	g=2	g=1	g=2	g=1	g=2
100	5	0.9664	0.9496	0.9328	0.9496	0.8824	0.8655	0.9580	0.9160
	10	0.9664	0.9496	0.9328	0.9412	0.8571	0.8655	0.9496	0.9076
	15	0.9664	0.9496	0.9412	0.9496	0.8824	0.8908	0.9412	0.9328
	25	0.9580	0.9496	0.9412	0.9580	0.8487	0.7899	0.9496	0.9076
	50	0.9328	0.9076	0.9748	0.9328	0.8403	0.7899	0.8824	0.8571
500	5	0.9667	0.9667	0.9833	0.9500	0.9250	0.9167	0.9333	0.9500
	10	0.9667	0.9750	0.9833	0.9417	0.9583	0.9250	0.9250	0.9500
	15	0.9667	0.9667	0.9750	0.9750	0.9250	0.9083	0.9417	0.9333
	25	0.9583	0.9500	0.9750	0.9417	0.8667	0.7750	0.9083	0.9167
	50	0.8750	0.9167	0.9333	0.9083	0.9000	0.8333	0.9333	0.9250
1000	5	0.9833	0.9333	0.9500	0.9250	0.8667	0.8750	0.9500	0.9417
	10	0.9750	0.9167	0.9500	0.9333	0.8833	0.9417	0.9583	0.9417
	15	0.9750	0.9167	0.9333	0.9333	0.8833	0.8917	0.9833	0.9583
	25	0.9500	0.9000	0.9167	0.9083	0.8917	0.8917	0.9417	0.9000
	50	0.8667	0.8000	0.8917	0.9083	0.9000	0.7000	0.9083	0.9167
5000	5	0.9750	0.9083	0.9333	0.8750	0.8917	0.9000	0.9667	0.9500
	10	0.9833	0.9083	0.9417	0.8583	0.9000	0.9250	0.9500	0.9417
	15	0.9667	0.8667	0.9083	0.8333	0.8250	0.8750	0.9417	0.9333
	25	0.9333	0.7917	0.9000	0.8250	0.8167	0.8667	0.8917	0.9333
	50	0.5000	0.2833	0.8000	0.7167	0.7750	0.7750	0.8500	0.9000

The results for the intercept and the slope from the longitudinal sub-model (\(\hat {\beta }_{0g}, \hat {\beta }_{1g}\) respectively) and for the Weibull scale and shape from the survival sub-model (\(\hat {\zeta }_{1g}\) and \(\hat {\zeta }_{2g}\) respectively) are presented. g: class identification

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