A likelihood-based two-part marginal model for longitudinal semicontinuous data

Statistical Methods in Medical Research

Volumn 24, Issue 2, 2015, Pages 194-205

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

^a MRC BIOSTATISTICS UNIT   (United Kingdom)

Author keywords

bridge distribution; logit link; random effects; repeated measures

Indexed keywords

HLA B27 ANTIGEN; HLA B39 ANTIGEN; HLA DR7 ANTIGEN; GENETIC MARKER; HLA ANTIGEN;

ARTICLE; COMPUTER PROGRAM; DISEASE ACTIVITY; DISEASE DURATION; GENETIC MARKER; HEALTH ASSESSMENT QUESTIONNAIRE; HUMAN; MARGINAL MODEL; MAXIMUM LIKELIHOOD METHOD; NORMAL DISTRIBUTION; PROBABILITY; PSORIATIC ARTHRITIS; STATISTICAL MODEL; VARIANCE; BIOSTATISTICS; COMPUTER SIMULATION; DISABILITY; GENETICS; IMMUNOLOGY; LONGITUDINAL STUDY; PATHOPHYSIOLOGY; QUESTIONNAIRE; STATISTICAL ANALYSIS;

ARTHRITIS, PSORIATIC; BIOSTATISTICS; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; DISABILITY EVALUATION; GENETIC MARKERS; HLA ANTIGENS; HUMANS; LIKELIHOOD FUNCTIONS; LONGITUDINAL STUDIES; MODELS, STATISTICAL; SURVEYS AND QUESTIONNAIRES;

EID: 84988215163     PISSN: 09622802     EISSN: 14770334     Source Type: Journal    
DOI: 10.1177/0962280211414620     Document Type: Article

References (30)

1. Duan N, Manning WG, Morris CN, Newhouse JP. A comparison of alternative models for the demand for medical care. J Bus Econ Stat. 1983 ; 1: 115-126
2. Zhou XH, Tu W. Comparison of several independent population means when their samples contain log-normal and possibly zero observations. Biometrics. 1999 ; 55: 645-651
3. Tu W, Zhou XH. A Wald test comparing medical costs based on log-normal distributions with zero valued costs. Stat Med. 1999 ; 18: 2749-2761
4. Olsen MK, Schafer JL. A two-part random-effects model for semicontinuous longitudinal data. J Ame Stat Assoc. 2001 ; 96: 730-745
5. Berk KN, Lachenbruch PA. Repeated measures with zeros. Stat Methods Med Res. 2002 ; 11 (4). 303-316
6. Tooze JA, Grunwald GK, Jones RH. Analysis of repeated measures data with clumping at zero. Stat Methods Med Res. 2002 ; 11 (4). 341-355
7. Hall DB, Zhang Z. Marginal models for zero inflated clustered data. Stat Model. 2004 ; 4: 161-180
8. Li N, Elashoff D, Robbins W, Xun L. A hierarchical zero-inflated log-normal model for skewed responses. Stat Methods Med Res. 2008 ;:
9. Liu L, Ma JZ, Johnson BA. A multi-level two-part random effects model, with application to an alcohol-dependence study. Stat Med. 2008 ; 27: 3528-3539
10. Neelon B, O'Malley AJ, Sharon-Lise TN. A Bayesian two-part latent class model for longitudinal medical expenditure data: assessing the impact of mental health and substance abuse parity. Biometrics. 2011 ; 67: 280-289
11. Su L, Tom BD, Farewell VT. Bias in 2-part mixed models for longitudinal semicontinuous data. Biostatistics. 2009 ; 10: 374-389
12. Diggle P, Heagerty P, Liang KY, Zeger S Analysis of longitudinal data. New York: Oxford University Press ; 2002
13. Wang Z, Louis T. Matching conditional and marginal shapes in binary mixed-effects models using a bridge distribution function. Biometrika. 2003 ; 90: 765-775
14. Lin L, Bandyopadhyay D, Lipsitz SR, Sinha D. Association models for clustered data with binary and continuous responses. Biometrics. 2010 ; 66: 287-293
15. Gladman DD, Shuckett R, Russell ML, Thorne J, Schachter RK. Psoriatic arthritis (PsA) - an analysis of 220 patients. Q J Med. 1987 ; 62: 127-141
16. Bruce B, Fries JF. The Stanford Health Assessment Questionnaire: dimensions and practical applications. Health and Qual Life Outcomes. 2003 ; 1: 1-20
17. Husted JA, Tom BD, Farewell VT, Schentag CT, Gladman DD. A longitudinal study of the effect of disease activity and clinical damage on physical function over the course of psoriatic arthritis: does the effect change over time?. Arthritis Rheum. 2007 ; 56 (3). 840-849
18. Gladman DD, Farewell VT, Kopciuk M, Cook R. HLA markers and progression in psoriatic arthritis. J Rheumatol. 1998 ; 25: 730-733
19. Heagerty PJ. Marginally specifed logistic-normal models for longitudinal binary data. Biometrics. 1999 ; 55: 688-698
20. Heagerty PJ, Zeger SL. Marginalized multilevel model and likelihood inference (with discussion). Stat Sci. 2000 ; 15: 1-26
21. Heagerty PJ. Marginalized transition models and likelihood inference for longitudinal categorical data. Biometrics. 2002 ; 58: 342-351
22. Neuhaus JM, Hauck WW, Kalbfleisch JD. The effects of mixture distribution misspecification when fitting mixed-effects logistic models. Biometrika. 1992 ; 79: 755-762
23. Molenberghs G, Declerck L, Aerts M. Misspecifing the likelihood for clustered binary data. Comput Stat Data Anal. 1998 ; 26: 327-349
24. Ten Have TR, Kunselman RA, Tran L. A comparison of mixed effects logistic regression models of binary response data with two nested levels of clustering. Stat Med. 1999 ; 18: 947-960
25. Heagerty PJ, Kurland BF. Misspecified maximum likelihood estimates and generalised linear mixed models. Biometrika. 2001 ; 88: 973-985
26. Litiere S, Abad AA, Molenberghs G. Type I and type II error under random-effects misspecification in generalized linear mixed models. Biometrics. 2007 ; 63: 1038-1044
27. Litiere S, Abad AA, Molenberghs G. The impact of a misspecified random-effects distribution on the estimation and the performance of inferential procedures in generalized linear mixed models. Stat Med. 2008 ; 27: 3125-3144
28. Abad AA, Litiere S, Molenberghs G. Testing for misspecification in generalized linear mixed models. Biostatistics. 2010 ; 11 (4). 771-786
29. Stroud AH, Secrest D Gaussian quadrature formulas. Englewood Cliffs, NJ: Prentice-Hall ; 1966
30. Zeger SL, Liang KY, Albert PS. Models for longitudinal data: a generalized estimating equation approach. Biometrics. 1988 ; 44: 1049-1060