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Table 6 Real data results: parameter estimates with standard errors and p-values from the four-latent classes model without covariates

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

number of observations

2591

number of patients

511

average number of longitudinal measure

5

number of events

132

censoring rate

0.74

Sub-model

Parameter

Estimate (se)

p-value

Multinomial logistic regression

ξ01

-0.29 (0.49)

0.55

 

ξ02

2.26 (0.44)

<0.001

 

ξ03

1.21 (0.53)

0.022

Weibull survival model

ζ11

0.37 (0.02)

<.001

 

ζ21

1.52 (0.13)

<0.001

 

ζ12

0.12 (0.02)

<0.001

 

ζ22

1.25 (0.14)

<0.001

 

ζ13

0.24 (0.01)

<0.001

 

ζ23

1.56 (0.12)

<0.001

 

ζ14

0.26 (0.01)

<0.001

 

ζ24

2.02 (0.31)

<0.001

Linear mixed model : fixed effects

β01

35.22 (1.11)

<0.001

 

β11

-5.29 (0.32)

<0.001

 

β21

0.31 (0.04)

<0.001

 

β02

39.37 (0.34)

<0.001

 

β12

-0.52 (0.06)

<0.001

 

β22

-0.01 (0.00)

0.007

 

β03

37.44 (0.66)

<0.001

 

β13

-1.92 (0.16)

<0.001

 

β23

0.04 (0.01)

<0.001

 

β04

39.00 (1.30)

<0.001

 

β14

-0.36 (0.20)

<0.001

 

β24

-0.10 (0.02)

<0.001

Linear mixed model : random effects

\(\sigma ^{2}_{b_{0}}\)

22.93

 
 

\(\sigma ^{2}_{b_{1}}\)

0.20

 
 

\(\sigma ^{2}_{b_{2}}\)

0.00

 
 

\(\sigma ^{2}_{\epsilon,1}\)

1.67