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Table 2 Description, parameter estimates and confidence intervals for the competing risks models with/without frailty

From: Risk-adjusted CUSUM control charts for shared frailty survival models with application to hip replacement outcomes: a study using the NJR dataset

VariableNo frailty termsFrailty for revision onlyIndependent frailty termsCorrelated frailty terms
Sample size113,772 113,772 113,772 113,772 
Number of revisions1336 1336 1336 1336 
Number of deaths9586 9586 9586 9586 
Number of censored102,850 102,850 102,850 102,850 
Loglik-114132.6 -114081.9 -114081.9 -114081.9 
AIC228305.2 228205.9 228207.9 228209.9 
BIC228498.0 228408.3 228419.9 228431.6 
RevisionsEstimateCIEstimateCIEstimateCIEstimateCI
λr (year)15.468.923 - 26.7911.587.298 - 18.3911.527.262 - 18.2711.597.298 - 18.4
kr1.661.171 - 2.3551.631.149 - 2.3121.6421.158 - 2.3291.631.149 - 2.311
kr Females1.0961.018 - 1.1791.1371.049 - 1.2331.1341.046 - 1.231.1371.049 - 1.233
kr Age0.99360.9884 - 0.99880.99360.9884 - 0.99870.99340.9883 - 0.99860.99360.9884 - 0.9987
kr Cup/Head Resurf/Metal1.5151.126 - 2.0391.5691.167 - 2.111.5761.172 - 2.1191.571.167 - 2.11
Operation Date from 20071.261.112 - 1.4271.2881.132 - 1.4641.2861.131 - 1.4631.2881.132 - 1.464
Age0.96920.9621 - 0.97650.96950.963 - 0.9760.96940.9629 - 0.97580.96950.963 - 0.976
Uncemented1.7321.522 - 1.971.5951.376 - 1.851.5951.376 - 1.851.5951.376 - 1.85
Head size0.96770.9506 - 0.9850.95630.94 - 0.97280.95630.9401 - 0.97280.95630.94 - 0.9728
Cup/Head Poly/Ceram0.60170.4859 - 0.7450.65920.5275 - 0.82380.65920.5274 - 0.82380.65930.5276 - 0.824
Cup/Head Resurf/Metal9.374.556 - 19.2710.885.796 - 20.4310.85.75 - 20.2810.895.797 - 20.45
Cup/Head Resurf/Resurf4.5583.113 - 6.6735.5953.804 - 8.2275.5933.803 - 8.2245.5943.804 - 8.226
\(\sigma ^{2}_{r}\)--0.18290.1205 - 0.27780.18290.1205 - 0.27770.18370.121 - 0.2787
DeathsEstimateCIEstimateCIEstimateCIEstimateCI
105 λd (1/year)1.2860.9214 - 1.7951.2860.9214 - 1.7951.2880.9223 - 1.81.2840.9204 - 1.792
10kd (1/year)0.98730.9404 - 1.0370.98730.9404 - 1.0370.9870.9398 - 1.0370.98750.9406 - 1.037
kd Operation Date from 20070.96240.9561 - 0.96870.96240.9561 - 0.96870.96240.9562 - 0.96880.96240.9561 - 0.9687
kd ASA P3-P50.61330.5639 - 0.66710.61330.5639 - 0.66710.61350.5641 - 0.66720.61320.5638 - 0.6669
kd Cup/Head Poly/Metal0.94580.9073 - 0.98590.94580.9073 - 0.98590.94590.9073 - 0.98610.94560.9072 - 0.9857
ASA P3-P536.5323.83 - 56.0136.5423.83 - 56.0136.4623.79 - 55.8636.5823.86 - 56.08
Cup/Head Poly/Metal1.5631.193 - 2.0471.5631.193 - 2.0471.5621.192 - 2.0451.5641.194 - 2.049
4-5 quintiles of the IMD1.0841.04 - 1.131.0841.04 - 1.131.0841.04 - 1.131.0841.04 - 1.13
\(\sigma ^{2}_{d} \)----2.031e-072e-07 - 2e-075e-075e-07 - 5e-07
ρ------0.001660.0013 - 0.0020