Table 3 Results of proportional hazard model for different transitions for unweighted and weighted survival time of ebmt dataset.

From: Modeling unobserved heterogeneity in multistate event history data using frailty and weighted survival approaches

Covariate

\(\zeta _{12}\)

\(\zeta _{13}\)

\(\zeta _{23}\)

Coef(\(SE^2\))

HR(CI)

Coef(\(SE^2\))

HR(CI)

Coef(\(SE^2\))

HR(CI)

Analysis result of ebmt dataset with unweighted overall survival

dissubALL

-0.05(0.08)

0.96( 0.82,1.11)

0.27(0.14)

1.31(0.10,1.73)

0.13(0.15)

1.14(0.85,1.52)

dissubCML

-0.30(0.07)

0.74(0.65,0.85)

-0.01(0.11)

0.99(0.80,1.24)

0.26(0.12)

1.29(1.03, 1.63)

Age 20-40

-0.16(0.08)

0.85(0.73,0.99)

0.27(0.16)

1.31(0.97,1.78)

0.07(0.15)

1.07(0.79,1.44)

Age >40

-0.09(0.09)

0.91(0.77,1.08)

0.55(0.16)

1.74(1.26,2.39)

0.58(0.16)

1.79(1.31, 2.45)

drmatch

0.04(0.07)

1.05(0.92,1.19)

-0.10(0.11)

0.91(0.72,1.14)

0.17(0.11)

1.19(0.95, 1.49)

Tcd

0.42(0.08)

1.54(1.31,1.80)

0.31(0.16)

1.37(1.01,1.87)

0.20(0.13)

1.22(0.95,1.57)

Arm

0.01(0.06)

1.00(0.89,1.13)

0.15(0.10)

1.16(0.95,1.41)

-0.07(0.10)

0.93(0.76, 1.14)

Frailty Estimate (\(\sigma ^2\))

0.001

0.218

0.002

Analysis result of ebmt dataset with weighted overall survival

dissubALL

-0.05(0.08)

0.95(0.81,1.12)

0.27(0.12)

1.31(1.04,1.64)

-0.19(0.20)

0.83(0.56,1.24)

dissubCML

-0.29(0.07)

0.75(0.65,0.86)

0.07(0.09)

1.07(0.89,1.29)

0.44(0.15)

1.55(1.16,2.07)

Age 20-40

-0.13(0.08)

0.88(0.75,1.03)

0.37(0.13)

1.44(1.11,1.86)

-0.03(0.19)

0.97(0.67,1.40)

Age >40

-0.07(0.09)

0.93(0.77,1.11)

0.70(0.14)

2.02(1.54,2.64)

0.43(0.20)

1.54(1.05,2.28)

drmatch

0.01(0.07)

1.00(0.87,1.15)

-0.04(0.09)

0.96(0.79,1.16)

0.17(0.14)

1.18(0.89,1.57)

Tcd

0.48(0.08)

1.62(1.37, 1.91)

-0.17(0.13)

0.85(0.65, 1.10)

0.44(0.15)

1.55(1.15, 2.07)

Arm

0.04(0.06)

1.04(0.92,1.18)

0.08(0.08)

1.09(0.92,1.29)

-0.09(0.13)

0.91(0.70,1.18)

Frailty Estimate (\(\sigma ^2\))

0.001

0.124

0.001

  1. NB: \(\zeta _{12}\)= Transition from state 1\(->\)2, \(\zeta _{13}\)= Transition from state 1\(->\)3, \(\zeta _{23}\)= Transition from state 2\(->\)3