The versatility of multi-state models for the analysis of longitudinal data with unobservable features

Lifetime Data Analysis

Volumn 20, Issue 1, 2014, Pages 51-75

  Farewell, Vernon T ^a   Tom, Brian D M ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Causal inference; Classification uncertainty; Informative missing data; Multi state models; Time dependent explanatory variables

Indexed keywords

ADULT; ARTICLE; CORONARY ARTERY DISEASE; FEMALE; HUMAN; LONGITUDINAL STUDY; MALE; METHODOLOGY; MIDDLE AGED; PATHOPHYSIOLOGY; PSORIATIC ARTHRITIS; PSYCHOLOGICAL ASPECT; QUALITY OF LIFE; STATISTICAL MODEL; SURVIVAL;

ADULT; ARTHRITIS, PSORIATIC; CORONARY DISEASE; FEMALE; HUMANS; LIKELIHOOD FUNCTIONS; LONGITUDINAL STUDIES; MALE; MIDDLE AGED; MODELS, STATISTICAL; QUALITY OF LIFE; SURVIVAL ANALYSIS;

EID: 84891903395     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10985-012-9236-2     Document Type: Article

References (37)

1. Aalen OO (1987) Dynamic modelling and causality. Scand Actuar J 4: 177-190.
2. Aalen OO, Borgan Ø, Gjessing HK (2008) Survival and event history analysis: A process point of view. Springer, New York.
3. Andersen PK, Liestøl K (2003) Attenuation caused by infrequently updated covariates in survival analysis. Biostatistics 4: 633-649.
4. Bond SJ, Farewell VT (2009) Likelihood estimation for a longitudinal negative binomial regression model with missing outcomes. J R Stat Soc Ser C 58(3): 369-382.
5. Cook RJ, Yi GY, Lee KA, Gladman DD (2004) A conditional Markov model for clustered progressive multistate processes under incomplete observation. Biometrics 60: 436-443.
6. Cox DR (1972) Regression models and life tables (with discussion). J R Stat Soc Ser B 34: 187-220.
7. Dawid AP (1979) Conditional independence in statistical theory. J R Stat Soc Ser B 41: 1-31.
8. Didelez V (2007) Graphical models for composable finite Markov processes. Scand J Stat 34(1): 169-185.
9. Farewell VT, Su L (2011) A multistate model for events defined by prolonged observation. Biostatistics 12(1): 102-111.
10. Fine JP, Jiang H, Chappell R (2001) On semi-competing risks data. Biometrika 88(4): 907-919.
11. Fries JF, Spitz P, Kraines RG, Holman HR (1980) Measurement of patient outcome in arthritis. Arthr Rheum 23: 137-145.
12. Gladman DD, Hing ENT (2001) Remission in psoriatic arthritis. J Rheumatol 28: 1045-1048.
13. Gladman DD, Mease PJ, Strand V, Healy P, Helliwell PS, Fitzgerald O, Gottlieb AB, Krueger GG, Nash P, Ritchlin CT, Taylor W, Abebajo A, Braun J, Cauli A, Carneiro S, Choy E, Dijkmans S, V L, van der Heijde D, Husni E, Lubrano E, McGonagle D, Qureshi A, Soriano ER, Zochling J (2007) Consensus on a core set of domains for psoriatic arthritis. J Rheumatol 28: 1167-1170.
14. Granger CWJ (1969) Investigating causal relations by econometric models and cross-spectral methods. Econometrica 37: 424-438.
15. Grüger J, Kay R, Schumacher M (1991) The validity of inferences based on incomplete observations in disease state models. Biometrics 47: 595-605.
16. Hill AB (1965) The environment and disease: Association or causation? Proc R Soc Med 58: 295-300.
17. Jackson CH (2011) Multi-state models for panel data: the msm package for R. J Stat Softw 38: 1-28.
18. Jackson CH, Sharples LD, Thompson SG, Duffy SW, Couto E (2003) Multistate Markov models for disease progression with classification error. J R Stat Soc Ser D 52: 193-209 (The Statistician).
19. Kalbfleisch JD, Prentice RL (2002) The statistical analysis of failure time data, 2nd edn. Wiley, Hoboken.
20. Marmot M, Smith GD, Stansfeld S, Patel C, North F, Head J, White I, Brunner E, Feeney A (1991) Health inequalities among British civil servants: the Whitehall II study. The Lancet 337: 1387-1393.
21. Mease PJ (2009) Assessing the impact of psoiatic arthritis on patient function and quality of life: Lessons learned from other rheumatological conditions. Semin Arthr Rheum 38: 320-335.
22. Molenberghs G, Beunckens C, Sotto C, Kenward M (2008) Every missingness not at random model has a missingness at random counterpart with equal fit. J R Stat Soc Ser B 70: 371-388.
23. O'Keeffe AG, Tom BDM, Farewell VT (2011) A case study in the clinical epidemiology of psoriatic arthritis: multi-state models and causal arguments. J R Stat Soc Ser C 60: 675-699 (Applied Statistics).
24. Pepe MS, Self SG, Prentice RL (1989) Further results on covariate measurement errors in cohort studies with time to response data. Stat Med 8: 1167-1178.
25. Prentice RL (1982) Covariate measurement errors and parameter estimation in a failure time regression model. Biometrika 69: 331-342.
26. Prentice RL, Thomas DB (1987) On the epidemiology of oral contraceptives and disease. Adv Cancer Res 49: 285-401.
27. Prentice RL, Kalbfleisch JD, Flournoy NT, Farewell VT, Breslow NE (1978) The analysis of failure times in the presence of competing risks. Biometrics 34: 541-554.
28. Prentice RL, Williams BJ, Peterson AV (1981) On the regression analysis of multivariate failure time. Biometrika 68: 373-379.
29. R Development Core Team (2010) R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna. http://www. R-project. org, ISBN 3-900051-07-0.
30. Raboud J, Reid N, Coates RA, Farewell VT (1993) Estimating risks of progression to AIDS when covariates are measured with error. J R Stat Soc Ser A 156: 393-406.
31. Schweder T (1970) Composable Markov processes. J Appl Probab 7(2): 400-410.
32. Self SG, Prentice RL (1986) Incorporating random effects into multivariate relative risk regression models. In: Moolgavkar SH, Prentice RL (eds) Modern statistical methods in chronic disease epidemiology. Wiley, New York, pp 167-177.
33. Siannis F, Farewell VT, Head J (2007) A multi-state model for joint modelling of terminal and non-terminal events with application to Whitehall II. Stat Med 26: 426-442.
34. Sokoll KB, Helliwell PS (2001) Comparison of disability and quality of life in rheumatoid and psoriatic arthritis. J Rheumatol 28: 1842-1846.
35. Tom BDM, Farewell VT (2011) Intermittent observation of time-dependent explanatory variables: A multi-state modelling approach. Stat Med 30: 3520-3531.
36. van Houwelingen HC, Putter H (2008) Dynamic predicting by landmarking as an alternative for multi-state modeling: An application to acute lymphoid leukemia data. Lifet Data Anal 14: 447-463.
37. Wang CY, Hsu L, Feng ZD, Prentice RL (1997) Regression calibration in failure time regression. Biometrics 53: 131-145.