Skip to main content
Top
Published in: BMC Nephrology 1/2014

Open Access 01-12-2014 | Research article

Regression methods for investigating risk factors of chronic kidney disease outcomes: the state of the art

Authors: Julie Boucquemont, Georg Heinze, Kitty J Jager, Rainer Oberbauer, Karen Leffondre

Published in: BMC Nephrology | Issue 1/2014

Login to get access

Abstract

Background

Chronic kidney disease (CKD) is a progressive and usually irreversible disease. Different types of outcomes are of interest in the course of CKD such as time-to-dialysis, transplantation or decline of the glomerular filtration rate (GFR). Statistical analyses aiming at investigating the association between these outcomes and risk factors raise a number of methodological issues. The objective of this study was to give an overview of these issues and to highlight some statistical methods that can address these topics.

Methods

A literature review of statistical methods published between 2002 and 2012 to investigate risk factors of CKD outcomes was conducted within the Scopus database. The results of the review were used to identify important methodological issues as well as to discuss solutions for each type of CKD outcome.

Results

Three hundred and four papers were selected. Time-to-event outcomes were more often investigated than quantitative outcome variables measuring kidney function over time. The most frequently investigated events in survival analyses were all-cause death, initiation of kidney replacement therapy, and progression to a specific value of GFR. While competing risks were commonly accounted for, interval censoring was rarely acknowledged when appropriate despite existing methods. When the outcome of interest was the quantitative decline of kidney function over time, standard linear models focussing on the slope of GFR over time were almost as often used as linear mixed models which allow various numbers of repeated measurements of kidney function per patient. Informative dropout was accounted for in some of these longitudinal analyses.

Conclusions

This study provides a broad overview of the statistical methods used in the last ten years for investigating risk factors of CKD progression, as well as a discussion of their limitations. Some existing potential alternatives that have been proposed in the context of CKD or in other contexts are also highlighted.
Appendix
Available only for authorised users
Literature
1.
go back to reference Levey AS, Coresh J: Chronic kidney disease. Lancet. 2012, 379: 165-180. 10.1016/S0140-6736(11)60178-5.CrossRefPubMed Levey AS, Coresh J: Chronic kidney disease. Lancet. 2012, 379: 165-180. 10.1016/S0140-6736(11)60178-5.CrossRefPubMed
2.
go back to reference National Kidney Foundation: K/DOQI clinical practice guidelines for chronic kidney disease: evaluation, classification, and stratification. Am J Kidney Dis. 2002, 39: S1-266. National Kidney Foundation: K/DOQI clinical practice guidelines for chronic kidney disease: evaluation, classification, and stratification. Am J Kidney Dis. 2002, 39: S1-266.
3.
go back to reference Stel VS, Dekker FW, Tripepi G, Zoccali C, Jager KJ: Survival analysis II: Cox regression. Nephron Clin Pract. 2011, 119: c255-260.CrossRefPubMed Stel VS, Dekker FW, Tripepi G, Zoccali C, Jager KJ: Survival analysis II: Cox regression. Nephron Clin Pract. 2011, 119: c255-260.CrossRefPubMed
4.
go back to reference Foucher Y, Giral M, Soulillou JP, Daures JP: A flexible semi-Markov model for interval-censored data and goodness-of-fit testing. Stat Methods Med Res. 2010, 19: 127-145. 10.1177/0962280208093889.CrossRefPubMed Foucher Y, Giral M, Soulillou JP, Daures JP: A flexible semi-Markov model for interval-censored data and goodness-of-fit testing. Stat Methods Med Res. 2010, 19: 127-145. 10.1177/0962280208093889.CrossRefPubMed
5.
go back to reference Joly P, Commenges D, Helmer C, Letenneur L: A penalized likelihood approach for an illness-death model with interval-censored data: application to age-specific incidence of dementia. Biostatistics. 2002, 3: 433-443. 10.1093/biostatistics/3.3.433.CrossRefPubMed Joly P, Commenges D, Helmer C, Letenneur L: A penalized likelihood approach for an illness-death model with interval-censored data: application to age-specific incidence of dementia. Biostatistics. 2002, 3: 433-443. 10.1093/biostatistics/3.3.433.CrossRefPubMed
6.
go back to reference Grams ME, Coresh J, Segev DL, Kucirka LM, Tighiouart H, Sarnak MJ: Vascular disease, ESRD, and death: interpreting competing risk analyses. Clin J Am Soc Nephrol. 2012, 7: 1606-1614. 10.2215/CJN.03460412.CrossRefPubMedPubMedCentral Grams ME, Coresh J, Segev DL, Kucirka LM, Tighiouart H, Sarnak MJ: Vascular disease, ESRD, and death: interpreting competing risk analyses. Clin J Am Soc Nephrol. 2012, 7: 1606-1614. 10.2215/CJN.03460412.CrossRefPubMedPubMedCentral
7.
go back to reference Pintilie M: Competing risks: A Practical Perspective. 2006, Chichester, England: John Wiley & Sons, LtdCrossRef Pintilie M: Competing risks: A Practical Perspective. 2006, Chichester, England: John Wiley & Sons, LtdCrossRef
8.
go back to reference Lim HJ, Zhang X, Dyck R, Osgood N: Methods of Competing Risks Analysis of End-Stage Renal Disease and Mortality among People with Diabetes. BMC Med Res Methodol. 2010, 10: 97-10.1186/1471-2288-10-97.CrossRefPubMedPubMedCentral Lim HJ, Zhang X, Dyck R, Osgood N: Methods of Competing Risks Analysis of End-Stage Renal Disease and Mortality among People with Diabetes. BMC Med Res Methodol. 2010, 10: 97-10.1186/1471-2288-10-97.CrossRefPubMedPubMedCentral
9.
go back to reference De Beaudrap P, Diallo MB, Landman R, Gueye NF, Ndiaye I, Diouf A, Kane CT, Etard JF, Girard PM, Sow PS, Delaporte E: Changes in the renal function after tenofovir-containing antiretroviral therapy initiation in a Senegalese cohort (ANRS 1215). AIDS Res Hum Retroviruses. 2010, 26: 1221-1227. 10.1089/aid.2009.0261.CrossRefPubMed De Beaudrap P, Diallo MB, Landman R, Gueye NF, Ndiaye I, Diouf A, Kane CT, Etard JF, Girard PM, Sow PS, Delaporte E: Changes in the renal function after tenofovir-containing antiretroviral therapy initiation in a Senegalese cohort (ANRS 1215). AIDS Res Hum Retroviruses. 2010, 26: 1221-1227. 10.1089/aid.2009.0261.CrossRefPubMed
10.
go back to reference Fitzmaurice G, Davidian M, Verbeke G, Molenberghs G: Longitudinal data analysis. 2009, Chapman & Hall/CRC: Boca Raton, USA Fitzmaurice G, Davidian M, Verbeke G, Molenberghs G: Longitudinal data analysis. 2009, Chapman & Hall/CRC: Boca Raton, USA
11.
go back to reference Falagas ME, Pitsouni EI, Malietzis GA, Pappas G: Comparison of PubMed, Scopus, Web of Science, and Google Scholar: strengths and weaknesses. FASEB J. 2008, 22: 338-342.CrossRefPubMed Falagas ME, Pitsouni EI, Malietzis GA, Pappas G: Comparison of PubMed, Scopus, Web of Science, and Google Scholar: strengths and weaknesses. FASEB J. 2008, 22: 338-342.CrossRefPubMed
12.
go back to reference Noordzij M, Leffondre K, van Stralen KJ, Zoccali C, Dekker FW, Jager KJ: When do we need competing risks methods for survival analysis in nephrology?. Nephrol Dial Transplant. 2013, 28: 2670-2677. 10.1093/ndt/gft355.CrossRefPubMed Noordzij M, Leffondre K, van Stralen KJ, Zoccali C, Dekker FW, Jager KJ: When do we need competing risks methods for survival analysis in nephrology?. Nephrol Dial Transplant. 2013, 28: 2670-2677. 10.1093/ndt/gft355.CrossRefPubMed
13.
go back to reference De Nicola L, Minutolo R, Chiodini P, Zamboli P, Cianciaruso B, Nappi F, Signoriello S, Conte G, Zoccali C: Group S-TCS: Prevalence and prognosis of mild anemia in non-dialysis chronic kidney disease: a prospective cohort study in outpatient renal clinics. Am J Nephrol. 2010, 32: 533-540. 10.1159/000321468.CrossRefPubMed De Nicola L, Minutolo R, Chiodini P, Zamboli P, Cianciaruso B, Nappi F, Signoriello S, Conte G, Zoccali C: Group S-TCS: Prevalence and prognosis of mild anemia in non-dialysis chronic kidney disease: a prospective cohort study in outpatient renal clinics. Am J Nephrol. 2010, 32: 533-540. 10.1159/000321468.CrossRefPubMed
14.
go back to reference Forsblom C, Harjutsalo V, Thorn LM, Waden J, Tolonen N, Saraheimo M, Gordin D, Moran JL, Thomas MC, Groop PH: Competing-risk analysis of ESRD and death among patients with type 1 diabetes and macroalbuminuria. J Am Soc Nephrol. 2011, 22: 537-544. 10.1681/ASN.2010020194.CrossRefPubMedPubMedCentral Forsblom C, Harjutsalo V, Thorn LM, Waden J, Tolonen N, Saraheimo M, Gordin D, Moran JL, Thomas MC, Groop PH: Competing-risk analysis of ESRD and death among patients with type 1 diabetes and macroalbuminuria. J Am Soc Nephrol. 2011, 22: 537-544. 10.1681/ASN.2010020194.CrossRefPubMedPubMedCentral
15.
go back to reference Andersen PK, Geskus RB, de Witte T, Putter H: Competing risks in epidemiology: possibilities and pitfalls. Int J Epidemiol. 2012, 41: 861-870. 10.1093/ije/dyr213.CrossRefPubMedPubMedCentral Andersen PK, Geskus RB, de Witte T, Putter H: Competing risks in epidemiology: possibilities and pitfalls. Int J Epidemiol. 2012, 41: 861-870. 10.1093/ije/dyr213.CrossRefPubMedPubMedCentral
17.
go back to reference Cianciaruso B, Pota A, Bellizzi V, Di Giuseppe D, Di Micco L, Minutolo R, Pisani A, Sabbatini M, Ravani P: Effect of a low- versus moderate-protein diet on progression of CKD: follow-up of a randomized controlled trial. Am J Kidney Dis. 2009, 54: 1052-1061. 10.1053/j.ajkd.2009.07.021.CrossRefPubMed Cianciaruso B, Pota A, Bellizzi V, Di Giuseppe D, Di Micco L, Minutolo R, Pisani A, Sabbatini M, Ravani P: Effect of a low- versus moderate-protein diet on progression of CKD: follow-up of a randomized controlled trial. Am J Kidney Dis. 2009, 54: 1052-1061. 10.1053/j.ajkd.2009.07.021.CrossRefPubMed
18.
go back to reference Scolari F, Ravani P, Gaggi R, Santostefano M, Rollino C, Stabellini N, Colla L, Viola BF, Maiorca P, Venturelli C, Bonardelli S, Faggiano P, Barrett BJ: The challenge of diagnosing atheroembolic renal disease: clinical features and prognostic factors. Circulation. 2007, 116: 298-304. 10.1161/CIRCULATIONAHA.106.680991.CrossRefPubMed Scolari F, Ravani P, Gaggi R, Santostefano M, Rollino C, Stabellini N, Colla L, Viola BF, Maiorca P, Venturelli C, Bonardelli S, Faggiano P, Barrett BJ: The challenge of diagnosing atheroembolic renal disease: clinical features and prognostic factors. Circulation. 2007, 116: 298-304. 10.1161/CIRCULATIONAHA.106.680991.CrossRefPubMed
19.
go back to reference Wei LJ, Lin DY, Weissfeld L: Regression analysis of multivariate incomplete failure time data by modeling marginal distributions. J Am Stat Assoc. 1989, 84: 1065-1073. 10.1080/01621459.1989.10478873.CrossRef Wei LJ, Lin DY, Weissfeld L: Regression analysis of multivariate incomplete failure time data by modeling marginal distributions. J Am Stat Assoc. 1989, 84: 1065-1073. 10.1080/01621459.1989.10478873.CrossRef
20.
go back to reference Bilous R, Chaturvedi N, Sjolie AK, Fuller J, Klein R, Orchard T, Porta M, Parving HH: Effect of candesartan on microalbuminuria and albumin excretion rate in diabetes: three randomized trials. Ann Intern Med. 2009, 151: 11-20. 10.7326/0003-4819-151-1-200907070-00120. W13-14CrossRefPubMed Bilous R, Chaturvedi N, Sjolie AK, Fuller J, Klein R, Orchard T, Porta M, Parving HH: Effect of candesartan on microalbuminuria and albumin excretion rate in diabetes: three randomized trials. Ann Intern Med. 2009, 151: 11-20. 10.7326/0003-4819-151-1-200907070-00120. W13-14CrossRefPubMed
21.
go back to reference Kim JS: Maximum likelihood estimation for the proportional hazards model with partly interval-censored data. J R Stat Soc Ser B (Stat Methodol). 2003, 65: 489-502. 10.1111/1467-9868.00398.CrossRef Kim JS: Maximum likelihood estimation for the proportional hazards model with partly interval-censored data. J R Stat Soc Ser B (Stat Methodol). 2003, 65: 489-502. 10.1111/1467-9868.00398.CrossRef
22.
go back to reference Law CG, Brookmeyer R: Effects of mid-point imputation on the analysis of doubly censored data. Stat Med. 1992, 11: 1569-1578. 10.1002/sim.4780111204.CrossRefPubMed Law CG, Brookmeyer R: Effects of mid-point imputation on the analysis of doubly censored data. Stat Med. 1992, 11: 1569-1578. 10.1002/sim.4780111204.CrossRefPubMed
23.
go back to reference Odell PM, Anderson KM, D’Agostino RB: Maximum likelihood estimation for interval-censored data using a Weibull-based accelerated failure time model. Biometrics. 1992, 48: 951-959. 10.2307/2532360.CrossRefPubMed Odell PM, Anderson KM, D’Agostino RB: Maximum likelihood estimation for interval-censored data using a Weibull-based accelerated failure time model. Biometrics. 1992, 48: 951-959. 10.2307/2532360.CrossRefPubMed
24.
go back to reference Leffondre K, Touraine C, Helmer C, Joly P: Interval-censored time-to-event and competing risk with death: is the illness-death model more accurate than the Cox model?. Int J Epidemiol. 2013, 42: 1177-1186. 10.1093/ije/dyt126.CrossRefPubMed Leffondre K, Touraine C, Helmer C, Joly P: Interval-censored time-to-event and competing risk with death: is the illness-death model more accurate than the Cox model?. Int J Epidemiol. 2013, 42: 1177-1186. 10.1093/ije/dyt126.CrossRefPubMed
25.
go back to reference Putter H, Fiocco M, Geskus RB: Tutorial in biostatistics: competing risks and multi-state models. Stat Med. 2007, 26: 2389-2430. 10.1002/sim.2712.CrossRefPubMed Putter H, Fiocco M, Geskus RB: Tutorial in biostatistics: competing risks and multi-state models. Stat Med. 2007, 26: 2389-2430. 10.1002/sim.2712.CrossRefPubMed
26.
go back to reference Touraine C, Gerds TA, Joly P: The SmoothHazard package for R: Fitting regression models to interval-censored observations of illness-death models. Research report 13/12. 2013, University of Copenhagen: Department of Biostatistics Touraine C, Gerds TA, Joly P: The SmoothHazard package for R: Fitting regression models to interval-censored observations of illness-death models. Research report 13/12. 2013, University of Copenhagen: Department of Biostatistics
27.
go back to reference Begun A, Icks A, Waldeyer R, Landwehr S, Koch M, Giani G: Identification of a multistate continuous-time nonhomogeneous markov chain model for patients with decreased renal function. Med Decis Making. 2013, 33: 298-306. 10.1177/0272989X12466731.CrossRefPubMed Begun A, Icks A, Waldeyer R, Landwehr S, Koch M, Giani G: Identification of a multistate continuous-time nonhomogeneous markov chain model for patients with decreased renal function. Med Decis Making. 2013, 33: 298-306. 10.1177/0272989X12466731.CrossRefPubMed
28.
go back to reference Foucher Y, Giral M, Soulillou JP, Daures JP: A semi-Markov model for multistate and interval-censored data with multiple terminal events. Application in renal transplantation. Stat Med. 2007, 26: 5381-5393. 10.1002/sim.3100.CrossRefPubMed Foucher Y, Giral M, Soulillou JP, Daures JP: A semi-Markov model for multistate and interval-censored data with multiple terminal events. Application in renal transplantation. Stat Med. 2007, 26: 5381-5393. 10.1002/sim.3100.CrossRefPubMed
29.
go back to reference Hu B, Li L, Wang X, Greene T: Nonparametric multistate representations of survival and longitudinal data with measurement error. Stat Med. 2012, 31: 2303-2317. 10.1002/sim.5369.CrossRefPubMed Hu B, Li L, Wang X, Greene T: Nonparametric multistate representations of survival and longitudinal data with measurement error. Stat Med. 2012, 31: 2303-2317. 10.1002/sim.5369.CrossRefPubMed
30.
go back to reference De Wreede LC, Fiocco M, Putter H: mstate: An R package for the analysis of competing risks and multi-state models. J Stat Softw. 2011, 38: 1-30.CrossRef De Wreede LC, Fiocco M, Putter H: mstate: An R package for the analysis of competing risks and multi-state models. J Stat Softw. 2011, 38: 1-30.CrossRef
31.
go back to reference Jackson C: Multi-State Models for Panel Data: The msm Package for R. J Stat Softw. 2011, 38: 1-29.CrossRef Jackson C: Multi-State Models for Panel Data: The msm Package for R. J Stat Softw. 2011, 38: 1-29.CrossRef
32.
go back to reference Rosansky SJ: Renal function trajectory is more important than chronic kidney disease stage for managing patients with chronic kidney disease. Am J Nephrol. 2012, 36: 1-10. 10.1159/000339327.CrossRefPubMed Rosansky SJ: Renal function trajectory is more important than chronic kidney disease stage for managing patients with chronic kidney disease. Am J Nephrol. 2012, 36: 1-10. 10.1159/000339327.CrossRefPubMed
33.
go back to reference Burton P, Gurrin L, Sly P: Extending the simple linear regression model to account for correlated responses: an introduction to generalized estimating equations and multi-level mixed modelling. Stat Med. 1998, 17: 1261-1291. 10.1002/(SICI)1097-0258(19980615)17:11<1261::AID-SIM846>3.0.CO;2-Z.CrossRefPubMed Burton P, Gurrin L, Sly P: Extending the simple linear regression model to account for correlated responses: an introduction to generalized estimating equations and multi-level mixed modelling. Stat Med. 1998, 17: 1261-1291. 10.1002/(SICI)1097-0258(19980615)17:11<1261::AID-SIM846>3.0.CO;2-Z.CrossRefPubMed
34.
go back to reference Verbeke G, Molenberghs G: Linear mixed models for longitudinal data. 2009, New York: Springer Verbeke G, Molenberghs G: Linear mixed models for longitudinal data. 2009, New York: Springer
35.
go back to reference Li L, Astor BC, Lewis J, Hu B, Appel LJ, Lipkowitz MS, Toto RD, Wang X, Wright JTJ, Greene TH: Longitudinal progression trajectory of GFR among patients with CKD. Am J Kidney Dis. 2012, 59: 504-512. 10.1053/j.ajkd.2011.12.009.CrossRefPubMedPubMedCentral Li L, Astor BC, Lewis J, Hu B, Appel LJ, Lipkowitz MS, Toto RD, Wang X, Wright JTJ, Greene TH: Longitudinal progression trajectory of GFR among patients with CKD. Am J Kidney Dis. 2012, 59: 504-512. 10.1053/j.ajkd.2011.12.009.CrossRefPubMedPubMedCentral
36.
go back to reference Alves TP, Hulgan T, Wu P, Sterling TR, Stinnette SE, Rebeiro PF, Vincz AJ, Bruce M, Ikizler TA: Race, kidney disease progression, and mortality risk in HIV-infected persons. Clin J Am Soc Nephrol. 2010, 5: 2269-2275. 10.2215/CJN.00520110.CrossRefPubMedPubMedCentral Alves TP, Hulgan T, Wu P, Sterling TR, Stinnette SE, Rebeiro PF, Vincz AJ, Bruce M, Ikizler TA: Race, kidney disease progression, and mortality risk in HIV-infected persons. Clin J Am Soc Nephrol. 2010, 5: 2269-2275. 10.2215/CJN.00520110.CrossRefPubMedPubMedCentral
37.
go back to reference Evans M, Fored CM, Bellocco R, Fitzmaurice G, Fryzek JP, McLaughlin JK, Nyren O, Elinder CG: Acetaminophen, aspirin and progression of advanced chronic kidney disease. Nephrol Dial Transplant. 2009, 24: 1908-1918. 10.1093/ndt/gfn745.CrossRefPubMed Evans M, Fored CM, Bellocco R, Fitzmaurice G, Fryzek JP, McLaughlin JK, Nyren O, Elinder CG: Acetaminophen, aspirin and progression of advanced chronic kidney disease. Nephrol Dial Transplant. 2009, 24: 1908-1918. 10.1093/ndt/gfn745.CrossRefPubMed
38.
go back to reference Agarwal M, Selvan V, Freedman BI, Liu Y, Wagenknecht LE: The relationship between albuminuria and hormone therapy in postmenopausal women. Am J Kidney Dis. 2005, 45: 1019-1025. 10.1053/j.ajkd.2005.02.025.CrossRefPubMed Agarwal M, Selvan V, Freedman BI, Liu Y, Wagenknecht LE: The relationship between albuminuria and hormone therapy in postmenopausal women. Am J Kidney Dis. 2005, 45: 1019-1025. 10.1053/j.ajkd.2005.02.025.CrossRefPubMed
39.
go back to reference Leffondre K, Jager KJ, Boucquemont J, Stel VS, Heinze G: Representation of exposures in regression analysis and interpretation of regression coefficients: basic concepts and pitfalls. Nephrol Dial Transplant. 2013, first published online December 22, 2013 doi:10.1093/ndt/gft500 Leffondre K, Jager KJ, Boucquemont J, Stel VS, Heinze G: Representation of exposures in regression analysis and interpretation of regression coefficients: basic concepts and pitfalls. Nephrol Dial Transplant. 2013, first published online December 22, 2013 doi:10.1093/ndt/gft500
40.
go back to reference Misra M, Vonesh E, Churchill DN, Moore HL, Van Stone JC, Nolph KD: Preservation of glomerular filtration rate on dialysis when adjusted for patient dropout. Kidney Int. 2000, 57: 691-696. 10.1046/j.1523-1755.2000.00891.x.CrossRefPubMed Misra M, Vonesh E, Churchill DN, Moore HL, Van Stone JC, Nolph KD: Preservation of glomerular filtration rate on dialysis when adjusted for patient dropout. Kidney Int. 2000, 57: 691-696. 10.1046/j.1523-1755.2000.00891.x.CrossRefPubMed
41.
go back to reference Ishwaran H, Takahara G: Independent and identically distributed Monte Carlo algorithms for semiparametric linear mixed models. J Am Stat Assoc. 2002, 97: 1154-1166. 10.1198/016214502388618951.CrossRef Ishwaran H, Takahara G: Independent and identically distributed Monte Carlo algorithms for semiparametric linear mixed models. J Am Stat Assoc. 2002, 97: 1154-1166. 10.1198/016214502388618951.CrossRef
42.
go back to reference Tripepi G, Jager KJ, Dekker FW, Zoccali C: Linear and logistic regression analysis. Kidney Int. 2008, 73: 806-810. 10.1038/sj.ki.5002787.CrossRefPubMed Tripepi G, Jager KJ, Dekker FW, Zoccali C: Linear and logistic regression analysis. Kidney Int. 2008, 73: 806-810. 10.1038/sj.ki.5002787.CrossRefPubMed
43.
go back to reference Jacqmin-Gadda H, Sibillot S, Proust C, Molina JM, Thiebaut R: Robustness of the linear mixed model to misspecified error distribution. Comput Stat Data Anal. 2007, 51: 5142-5154. 10.1016/j.csda.2006.05.021.CrossRef Jacqmin-Gadda H, Sibillot S, Proust C, Molina JM, Thiebaut R: Robustness of the linear mixed model to misspecified error distribution. Comput Stat Data Anal. 2007, 51: 5142-5154. 10.1016/j.csda.2006.05.021.CrossRef
44.
go back to reference Lemley KV, Boothroyd DB, Blouch KL, Nelson RG, Jones LI, Olshen RA, Myers BD: Modeling GFR trajectories in diabetic nephropathy. Am J Physiol - Renal. 2005, 289: F863-F870. 10.1152/ajprenal.00068.2004.CrossRef Lemley KV, Boothroyd DB, Blouch KL, Nelson RG, Jones LI, Olshen RA, Myers BD: Modeling GFR trajectories in diabetic nephropathy. Am J Physiol - Renal. 2005, 289: F863-F870. 10.1152/ajprenal.00068.2004.CrossRef
45.
go back to reference O’Hare AM, Batten A, Burrows NR, Pavkov ME, Taylor L, Gupta I, Todd-Stenberg J, Maynard C, Rodriguez RA, Murtagh FE, Larson EB, Williams DE: Trajectories of kidney function decline in the 2 years before initiation of long-term dialysis. Am J Kidney Dis. 2012, 59: 513-522. 10.1053/j.ajkd.2011.11.044.CrossRefPubMedPubMedCentral O’Hare AM, Batten A, Burrows NR, Pavkov ME, Taylor L, Gupta I, Todd-Stenberg J, Maynard C, Rodriguez RA, Murtagh FE, Larson EB, Williams DE: Trajectories of kidney function decline in the 2 years before initiation of long-term dialysis. Am J Kidney Dis. 2012, 59: 513-522. 10.1053/j.ajkd.2011.11.044.CrossRefPubMedPubMedCentral
46.
go back to reference Jones BL, Nagin DS: Advances in group-based trajectory modeling and an SAS procedure for estimating them. Sociol Methods Res. 2007, 35: 542-571. 10.1177/0049124106292364.CrossRef Jones BL, Nagin DS: Advances in group-based trajectory modeling and an SAS procedure for estimating them. Sociol Methods Res. 2007, 35: 542-571. 10.1177/0049124106292364.CrossRef
47.
go back to reference Jung T, Wickrama KAS: An introduction to latent class growth analysis and growth mixture modeling. Soc Personal Psychol Compass. 2008, 2: 302-317. 10.1111/j.1751-9004.2007.00054.x.CrossRef Jung T, Wickrama KAS: An introduction to latent class growth analysis and growth mixture modeling. Soc Personal Psychol Compass. 2008, 2: 302-317. 10.1111/j.1751-9004.2007.00054.x.CrossRef
48.
go back to reference McCulloch CE, Lin H, Slate EH, Turnbull BW: Discovering subpopulation structure with latent class mixed models. Stat Med. 2002, 21: 417-429. 10.1002/sim.1027.CrossRefPubMed McCulloch CE, Lin H, Slate EH, Turnbull BW: Discovering subpopulation structure with latent class mixed models. Stat Med. 2002, 21: 417-429. 10.1002/sim.1027.CrossRefPubMed
49.
go back to reference Muthen B, Shedden K: Finite mixture modeling with mixture outcomes using the EM algorithm. Biometrics. 1999, 55: 463-469. 10.1111/j.0006-341X.1999.00463.x.CrossRefPubMed Muthen B, Shedden K: Finite mixture modeling with mixture outcomes using the EM algorithm. Biometrics. 1999, 55: 463-469. 10.1111/j.0006-341X.1999.00463.x.CrossRefPubMed
50.
go back to reference Verbeke G, Lesaffre E: A linear mixed-effects model with heterogeneity in the random-effects population. J Am Stat Assoc. 1996, 91: 217-221. 10.1080/01621459.1996.10476679.CrossRef Verbeke G, Lesaffre E: A linear mixed-effects model with heterogeneity in the random-effects population. J Am Stat Assoc. 1996, 91: 217-221. 10.1080/01621459.1996.10476679.CrossRef
51.
go back to reference Proust-Lima C, Sene M, Taylor JM, Jacqmin-Gadda H: Joint latent class models for longitudinal and time-to-event data: A review. Stat Methods Med Res. 2014, 23: 74-90. 10.1177/0962280212445839.CrossRefPubMed Proust-Lima C, Sene M, Taylor JM, Jacqmin-Gadda H: Joint latent class models for longitudinal and time-to-event data: A review. Stat Methods Med Res. 2014, 23: 74-90. 10.1177/0962280212445839.CrossRefPubMed
52.
go back to reference Schluchter MD, Greene T, Beck GJ: Analysis of change in the presence of informative censoring: application to a longitudinal clinical trial of progressive renal disease. Stat Med. 2001, 20: 989-1007. 10.1002/sim.720.CrossRefPubMed Schluchter MD, Greene T, Beck GJ: Analysis of change in the presence of informative censoring: application to a longitudinal clinical trial of progressive renal disease. Stat Med. 2001, 20: 989-1007. 10.1002/sim.720.CrossRefPubMed
53.
go back to reference Robins JM, Rotnitzky A, Zhao LP: Analysis of semiparametric regression models for repeated outcomes in the presence of missing data. J Am Stat Assoc. 1995, 90: 106-121. 10.1080/01621459.1995.10476493.CrossRef Robins JM, Rotnitzky A, Zhao LP: Analysis of semiparametric regression models for repeated outcomes in the presence of missing data. J Am Stat Assoc. 1995, 90: 106-121. 10.1080/01621459.1995.10476493.CrossRef
54.
go back to reference Michiels B, Molenberghs G, Bijnens L, Vangeneugden T, Thijs H: Selection models and pattern-mixture models to analyse longitudinal quality of life data subject to drop-out. Stat Med. 2002, 21: 1023-1041. 10.1002/sim.1064.CrossRefPubMed Michiels B, Molenberghs G, Bijnens L, Vangeneugden T, Thijs H: Selection models and pattern-mixture models to analyse longitudinal quality of life data subject to drop-out. Stat Med. 2002, 21: 1023-1041. 10.1002/sim.1064.CrossRefPubMed
55.
go back to reference Eriksen BO, Tomtum J, Ingebretsen OC: Predictors of declining glomerular filtration rate in a population-based chronic kidney disease cohort. Nephron Clin Pract. 2010, 115: c41-50.CrossRefPubMed Eriksen BO, Tomtum J, Ingebretsen OC: Predictors of declining glomerular filtration rate in a population-based chronic kidney disease cohort. Nephron Clin Pract. 2010, 115: c41-50.CrossRefPubMed
56.
go back to reference Fung MM, Salem RM, Lipkowitz MS, Bhatnagar V, Pandey B, Schork NJ, O’Connor DT: Methylenetetrahydrofolate reductase (MTHFR) polymorphism A1298C (Glu429Ala) predicts decline in renal function over time in the African-American Study of Kidney Disease and Hypertension (AASK) Trial and Veterans Affairs Hypertension Cohort (VAHC). Nephrol Dial Transplant. 2012, 27: 197-205. 10.1093/ndt/gfr257.CrossRefPubMed Fung MM, Salem RM, Lipkowitz MS, Bhatnagar V, Pandey B, Schork NJ, O’Connor DT: Methylenetetrahydrofolate reductase (MTHFR) polymorphism A1298C (Glu429Ala) predicts decline in renal function over time in the African-American Study of Kidney Disease and Hypertension (AASK) Trial and Veterans Affairs Hypertension Cohort (VAHC). Nephrol Dial Transplant. 2012, 27: 197-205. 10.1093/ndt/gfr257.CrossRefPubMed
57.
go back to reference Li J, Schluchter MD: Conditional mixed models adjusting for non-ignorable drop-out with administrative censoring in longitudinal studies. Stat Med. 2004, 23: 3489-3503. 10.1002/sim.1926.CrossRefPubMed Li J, Schluchter MD: Conditional mixed models adjusting for non-ignorable drop-out with administrative censoring in longitudinal studies. Stat Med. 2004, 23: 3489-3503. 10.1002/sim.1926.CrossRefPubMed
58.
go back to reference Vonesh EF, Greene T, Schluchter MD: Shared parameter models for the joint analysis of longitudinal data and event times. Stat Med. 2006, 25: 143-163. 10.1002/sim.2249.CrossRefPubMed Vonesh EF, Greene T, Schluchter MD: Shared parameter models for the joint analysis of longitudinal data and event times. Stat Med. 2006, 25: 143-163. 10.1002/sim.2249.CrossRefPubMed
59.
go back to reference Rizopoulos D: JM: An R package for the joint modelling of longitudinal and time-to-event data. J Stat Softw. 2010, 35: 1-33.CrossRef Rizopoulos D: JM: An R package for the joint modelling of longitudinal and time-to-event data. J Stat Softw. 2010, 35: 1-33.CrossRef
60.
go back to reference Garre FG, Zwinderman AH, Geskus RB, Sijpkens YW: A joint latent class changepoint model to improve the prediction of time to graft failure. J R Stat Soc Ser A Stat Soc. 2008, 171: 299-308. Garre FG, Zwinderman AH, Geskus RB, Sijpkens YW: A joint latent class changepoint model to improve the prediction of time to graft failure. J R Stat Soc Ser A Stat Soc. 2008, 171: 299-308.
61.
go back to reference Grams ME, Coresh J: Assessing risk in chronic kidney disease: a methodological review. Nat Rev Nephrol. 2013, 9: 18-25.CrossRefPubMed Grams ME, Coresh J: Assessing risk in chronic kidney disease: a methodological review. Nat Rev Nephrol. 2013, 9: 18-25.CrossRefPubMed
62.
go back to reference Blanche P, Dartigues JF, Jacqmin-Gadda H: Estimating and comparing time-dependent areas under receiver operating characteristic curves for censored event times with competing risks. Stat Med. 2013, 32: 5381-5397. 10.1002/sim.5958.CrossRefPubMed Blanche P, Dartigues JF, Jacqmin-Gadda H: Estimating and comparing time-dependent areas under receiver operating characteristic curves for censored event times with competing risks. Stat Med. 2013, 32: 5381-5397. 10.1002/sim.5958.CrossRefPubMed
Metadata
Title
Regression methods for investigating risk factors of chronic kidney disease outcomes: the state of the art
Authors
Julie Boucquemont
Georg Heinze
Kitty J Jager
Rainer Oberbauer
Karen Leffondre
Publication date
01-12-2014
Publisher
BioMed Central
Published in
BMC Nephrology / Issue 1/2014
Electronic ISSN: 1471-2369
DOI
https://doi.org/10.1186/1471-2369-15-45

Other articles of this Issue 1/2014

BMC Nephrology 1/2014 Go to the issue