# Table 2 Estimates of the number of latent populations, proportion of hospitals attributed to each population, frailties and hazard ratios for each transition in the HF application. (HR denotes hazard ratio and S.E. denotes standard error

Cox with nonparametric frailty
AIC: 5AIC: 3AIC: 4AIC: 3
KBIC: 5BIC: 3BIC: 4BIC: 1
Laird: 8Laird: 7Laird: 7Laird: 5
$$\pi _{1}^{1} =$$ 0.14
$$\pi _{2}^{1} =$$ 0.23$$\pi _{1}^{2} =$$ 0.38$$\pi _{1}^{3} =$$ 0.18
π$$\pi _{3}^{1} =$$ 0.40$$\pi _{2}^{2} =$$ 0.47$$\pi _{2}^{3} =$$ 0.33$$\pi _{1}^{4} = 1$$
$$\pi _{4}^{1} =$$ 0.15$$\pi _{3}^{2} =$$ 0.15$$\pi _{3}^{3} =$$ 0.36
$$\pi _{5}^{1} =$$ 0.08 $$\pi _{4}^3 =$$ 0.13
1
1.4511
frailty ratio1.761.501.771
2.272.412.38
2.93 2.91
HR AGE (S.E.)0.99(4.01 10−4)1.05(1.47 10−3)1.02 (7.40 10−4)1.07(8.92 10−4)
HR SEX (S.E.)1.07(8.82 10−3)1.21 (2.50 10−2)1.26 (1.51 10−2)1.24(1.51 10−2)
HR 3COM (S.E.)0.76 (8.77 10−3)0.88 (2.50 10−2)1.55(1.50 10−2)1.45(1.47 10−2)
HR NPRO (S.E.)0.69 (6.56 10−3)0.65(2.29 10−2)0.87(1.15 10−2)0.76 (1.45 10−2) 