메뉴 건너뛰기




Volumn 85, Issue 4, 2015, Pages 777-793

The use of restricted cubic splines to approximate complex hazard functions in the analysis of time-to-event data: a simulation study

Author keywords

flexible parametric models; restricted cubic splines; simulation; survival analysis

Indexed keywords


EID: 84914665589     PISSN: 00949655     EISSN: 15635163     Source Type: Journal    
DOI: 10.1080/00949655.2013.845890     Document Type: Article
Times cited : (88)

References (33)
  • 1
    • 0037102914 scopus 로고    scopus 로고
    • Flexible parametric proportional-hazards and proportional-odds models for censored survival data, with application to prognostic modelling and estimation of treatment effects
    • Royston P, Parmar MKB. Flexible parametric proportional-hazards and proportional-odds models for censored survival data, with application to prognostic modelling and estimation of treatment effects. Stat Med. 2002;21:2175–2197. doi: 10.1002/sim.1203
    • (2002) Stat Med , vol.21 , pp. 2175-2197
    • Royston, P.1    Parmar, M.K.B.2
  • 5
    • 76749116183 scopus 로고    scopus 로고
    • Interferon alfa-2a versus combination therapy with interferon alfa-2a, interleukin-2, and fluorouracil in patients with untreated metastatic renal cell carcinoma (MRC RE04/EORTC GU 30012): an open-label randomised trial
    • Gore ME, Griffin CL, Hancock B, Patel PM, Pyle L, Aitchison M, James N, Oliver RT, Mardiak J, Hussain T, Sylvester R, Parmar MK, Royston P, Mulders, PF. Interferon alfa-2a versus combination therapy with interferon alfa-2a, interleukin-2, and fluorouracil in patients with untreated metastatic renal cell carcinoma (MRC RE04/EORTC GU 30012): an open-label randomised trial. Lancet. 2010;375:641–648. doi: 10.1016/S0140-6736(09)61921-8
    • (2010) Lancet , vol.375 , pp. 641-648
    • Gore, M.E.1    Griffin, C.L.2    Hancock, B.3    Patel, P.M.4    Pyle, L.5    Aitchison, M.6    James, N.7    Oliver, R.T.8    Mardiak, J.9    Hussain, T.10    Sylvester, R.11    Parmar, M.K.12    Royston, P.13    Mulders, P.F.14
  • 6
    • 38849120622 scopus 로고    scopus 로고
    • Flexible parametric models for relative survival, with application in coronary heart disease
    • Nelson CP, Lambert PC, Squire IB, Jones DR. Flexible parametric models for relative survival, with application in coronary heart disease. Stat Med. 2007;26:5486–5498. doi: 10.1002/sim.3064
    • (2007) Stat Med , vol.26 , pp. 5486-5498
    • Nelson, C.P.1    Lambert, P.C.2    Squire, I.B.3    Jones, D.R.4
  • 7
    • 79959332508 scopus 로고    scopus 로고
    • Estimating and modelling cure in population-based cancer studies within the framework of flexible parametric survival models
    • Article 96
    • Andersson T, Dickman P, Eloranta S, Lambert P. Estimating and modelling cure in population-based cancer studies within the framework of flexible parametric survival models. BMC Med Res Methodol. 2011;11:Article 96. doi: 10.1186/1471-2288-11-96
    • (2011) BMC Med Res Methodol , vol.11
    • Andersson, T.1    Dickman, P.2    Eloranta, S.3    Lambert, P.4
  • 8
    • 0024596532 scopus 로고
    • Flexible regression models with cubic splines
    • Durrelman S, Simon R. Flexible regression models with cubic splines. Stat Med. 1989;8:551–561. doi: 10.1002/sim.4780080504
    • (1989) Stat Med , vol.8 , pp. 551-561
    • Durrelman, S.1    Simon, R.2
  • 9
    • 68949111979 scopus 로고    scopus 로고
    • Further Development of flexible parametric models for survival analysis
    • Lambert PC, Royston P. Further Development of flexible parametric models for survival analysis. Stata J. 2009;9: 265–290.
    • (2009) Stata J , vol.9 , pp. 265-290
    • Lambert, P.C.1    Royston, P.2
  • 10
    • 77949348568 scopus 로고    scopus 로고
    • Estimating the crude probability of death due to cancer and other causes using relative survival models
    • Lambert PC, Dickman PW, Nelson CP, Royston P. Estimating the crude probability of death due to cancer and other causes using relative survival models. Stat Med. 2010;29:885–895. doi: 10.1002/sim.3762
    • (2010) Stat Med , vol.29 , pp. 885-895
    • Lambert, P.C.1    Dickman, P.W.2    Nelson, C.P.3    Royston, P.4
  • 13
    • 0028704335 scopus 로고
    • On the role of finite mixture models in survival analysis
    • McLachlan G, McGiffin D. On the role of finite mixture models in survival analysis. Stat Methods Med Res. 1994;3:211–226. doi: 10.1177/096228029400300302
    • (1994) Stat Methods Med Res , vol.3 , pp. 211-226
    • McLachlan, G.1    McGiffin, D.2
  • 14
    • 0000501656 scopus 로고
    • Information theory as an extension of the maximum likelihood principle
    • Petrov BN, Csaki F, (eds), Budapest: Akademiai Kiado
    • Akaike H. Information theory as an extension of the maximum likelihood principle. In: PetrovBN, CsakiF. editors. Second international symposium on information theory. Budapest: Akademiai Kiado; 1973. p. 267–281.
    • (1973) Second international symposium on information theory , pp. 267-281
    • Akaike, H.1
  • 15
    • 0000539315 scopus 로고
    • Bayesian model choice: asymptotics and exact calculations
    • Gelfand AE, Dey DK. Bayesian model choice: asymptotics and exact calculations. J R Stat Soc Ser B (Methodological). 1994;56:501–514.
    • (1994) J R Stat Soc Ser B (Methodological) , vol.56 , pp. 501-514
    • Gelfand, A.E.1    Dey, D.K.2
  • 16
    • 34548151529 scopus 로고    scopus 로고
    • Comparing smoothing techniques in Cox models for exposure–response relationships
    • Govindarajulu US, Spiegelman D, Thurston SW, Ganguli B, Eisen EA. Comparing smoothing techniques in Cox models for exposure–response relationships. Stat Med. 2007;26:3735–3752. doi: 10.1002/sim.2848
    • (2007) Stat Med , vol.26 , pp. 3735-3752
    • Govindarajulu, U.S.1    Spiegelman, D.2    Thurston, S.W.3    Ganguli, B.4    Eisen, E.A.5
  • 17
    • 62549164728 scopus 로고    scopus 로고
    • The comparison of alternative smoothing methods for fitting non-linear exposure–response relationships with Cox models in a simulation study
    • Article 2
    • Govindarajulu US, Malloy EJ, Ganguli B, Spiegelman D, Eisen EA. The comparison of alternative smoothing methods for fitting non-linear exposure–response relationships with Cox models in a simulation study. Int J Biostat. 2009;5:Article 2.
    • (2009) Int J Biostat , vol.5
    • Govindarajulu, U.S.1    Malloy, E.J.2    Ganguli, B.3    Spiegelman, D.4    Eisen, E.A.5
  • 18
    • 0029118491 scopus 로고
    • Hazard function estimation using B-splines
    • Rosenberg PS. Hazard function estimation using B-splines. Biometrics. 1995;51:874–887. doi: 10.2307/2532989
    • (1995) Biometrics , vol.51 , pp. 874-887
    • Rosenberg, P.S.1
  • 19
    • 1142292473 scopus 로고    scopus 로고
    • Bounded optimal knots for regression splines
    • Molinari N, Durand JF, Sabatier R. Bounded optimal knots for regression splines. Comput Stat Data Anal. 2004;45:159–178. doi: 10.1016/S0167-9473(02)00343-2
    • (2004) Comput Stat Data Anal , vol.45 , pp. 159-178
    • Molinari, N.1    Durand, J.F.2    Sabatier, R.3
  • 20
    • 8744307994 scopus 로고    scopus 로고
    • Multimodel inference: understanding AIC and BIC in model selection
    • Burnham KP, Anderson DR. Multimodel inference: understanding AIC and BIC in model selection. Sociol Methods Res. 2004;33:261–304. doi: 10.1177/0049124104268644
    • (2004) Sociol Methods Res , vol.33 , pp. 261-304
    • Burnham, K.P.1    Anderson, D.R.2
  • 21
    • 0033249410 scopus 로고    scopus 로고
    • A critique of the Bayesian information criterion for model selection
    • Weakliem DL. A critique of the Bayesian information criterion for model selection. Sociol Methods Res. 1999;27:359–397. doi: 10.1177/0049124199027003002
    • (1999) Sociol Methods Res , vol.27 , pp. 359-397
    • Weakliem, D.L.1
  • 22
    • 84862267693 scopus 로고    scopus 로고
    • Survival estimation through the cumulative hazard function with monotone natural cubic splines
    • Bantis L, Tsimikas J, Georgiou S. Survival estimation through the cumulative hazard function with monotone natural cubic splines. Lifetime Data Anal. 2012;18(3):364–396. doi: 10.1007/s10985-012-9218-4
    • (2012) Lifetime Data Anal , vol.18 , Issue.3 , pp. 364-396
    • Bantis, L.1    Tsimikas, J.2    Georgiou, S.3
  • 23
    • 0000930441 scopus 로고
    • Logspline density estimation for censored data
    • Kooperberg C, Stone CJ. Logspline density estimation for censored data. J Comput Graphical Stat. 1992;1:301–328.
    • (1992) J Comput Graphical Stat , vol.1 , pp. 301-328
    • Kooperberg, C.1    Stone, C.J.2
  • 24
  • 25
    • 19944372078 scopus 로고    scopus 로고
    • Generating survival times to simulate Cox proportional hazards models
    • Bender R, Augustin T, Blettner M. Generating survival times to simulate Cox proportional hazards models. Stat Med. 2005;24:1713–1723. doi: 10.1002/sim.2059
    • (2005) Stat Med , vol.24 , pp. 1713-1723
    • Bender, R.1    Augustin, T.2    Blettner, M.3
  • 28
    • 84872379848 scopus 로고    scopus 로고
    • Simulating complex survival data
    • Crowther M, Lambert P. Simulating complex survival data. The Stata J. 2012;12(4):674–687.
    • (2012) The Stata J , vol.12 , Issue.4 , pp. 674-687
    • Crowther, M.1    Lambert, P.2
  • 30
    • 84914694931 scopus 로고    scopus 로고
    • crc46: Better numerical derivatives and integrals
    • Gould WW. crc46: Better numerical derivatives and integrals. Stata Tech Bull. 1997;35:3–5.
    • (1997) Stata Tech Bull , vol.35 , pp. 3-5
    • Gould, W.W.1
  • 32
    • 34548775222 scopus 로고    scopus 로고
    • Parametric survival analysis and taxonomy of hazard functions for the generalized gamma distribution
    • Cox C, Chu H, Schneider MF, Muñoz A. Parametric survival analysis and taxonomy of hazard functions for the generalized gamma distribution. Stat Med. 2007;26:4352–4374. doi: 10.1002/sim.2836
    • (2007) Stat Med , vol.26 , pp. 4352-4374
    • Cox, C.1    Chu, H.2    Schneider, M.F.3    Muñoz, A.4
  • 33
    • 84897036010 scopus 로고    scopus 로고
    • Survival extrapolation using the poly-Weibull model
    • Demiris N, Lunn D, Sharples LD. Survival extrapolation using the poly-Weibull model. Stat Methods Med Res. 2011. Available from: http://www.ncbi.nlm.nih.gov/pubmed/21937472
    • (2011) Stat Methods Med Res
    • Demiris, N.1    Lunn, D.2    Sharples, L.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.