Analyzing repeated measures semi-continuous data, with application to an alcohol dependence study

Statistical Methods in Medical Research

Volumn 25, Issue 1, 2016, Pages 133-152

  Liu, Lei ^a   Strawderman, Robert L ^b   Johnson, Bankole A ^c   O'Quigley, John M ^d  

^a NORTHWESTERN UNIVERSITY   (United States)

^b Cornell University ^*  (United States)

^c UNIVERSITY OF VIRGINIA   (United States)

^d SORBONNE UNIVERSITÉ   (France)

Author keywords

generalized linear mixed model; Hierarchical model; longitudinal data analysis; mixed model; model comparison; non nested model

Indexed keywords

PLACEBO; TOPIRAMATE; DRUGS USED IN THE TREATMENT OF ADDICTION; FRUCTOSE;

ALCOHOL CONSUMPTION; ALCOHOLISM; ARTICLE; DATA ANALYSIS; DRINKING BEHAVIOR; HUMAN; HYPOTHESIS; INTERMETHOD COMPARISON; MATHEMATICAL ANALYSIS; MAXIMUM LIKELIHOOD METHOD; NORMAL DISTRIBUTION; PROBABILITY; RANDOMIZED CONTROLLED TRIAL (TOPIC); STATISTICAL ANALYSIS; STATISTICAL MODEL; STATISTICAL SIGNIFICANCE; TREATMENT OUTCOME; ANALOGS AND DERIVATIVES; BIOSTATISTICS; COMPARATIVE STUDY; PROPORTIONAL HAZARDS MODEL; STATISTICS AND NUMERICAL DATA;

ALCOHOL DETERRENTS; ALCOHOLISM; BIOSTATISTICS; DATA INTERPRETATION, STATISTICAL; FRUCTOSE; HUMANS; LIKELIHOOD FUNCTIONS; LINEAR MODELS; MODELS, STATISTICAL; PROPORTIONAL HAZARDS MODELS; RANDOMIZED CONTROLLED TRIALS AS TOPIC;

EID: 84958690015     PISSN: 09622802     EISSN: 14770334     Source Type: Journal    
DOI: 10.1177/0962280212443324     Document Type: Article

References (46)

1. Olsen M, Schafer J,. A two-part random effects model for semicontinuous longitudinal data. J Am Stat Assoc 2001; 96: 730-745.
2. Tooze J, Grunwald G, Jones R,. Analysis of repeated measures data with clumping at zero. Stat Meth Med Res 2002; 11: 341-355.
3. Vuong Q,. Likelihood ratio tests for model selection and non-nested hypotheses. Econometrica 1989; 57: 307-333.
4. Manning W, Morris C, Newhouse J, et al.A two-part model of the demand for medical care: preliminary results from the health insurance study. In: van der Gaag J, Perlman M, (eds). Health, Economics, and Health Economics, Amsterdam: North-Holland, 1981, pp. 103-123.
5. Xie H, McHugo G, Sengupta A, et al. A method for analyzing long longitudinal outcomes with many zeros. Mental Health Serv Res 2004; 6: 239-246.
6. Hyndman R, Grunwald G,. Generalized additive modelling of mixed distribution Markov models with application to Melbourne's rainfall. Aus NZ J Stat 2000; 42: 145-158.
7. Johnson BA, Rosenthal N, Capece JA, et al. Topiramate for treating alcohol dependence-A randomized controlled trial. J Am Med Assoc 2007; 298: 1641-1651.
8. Tobin J,. Estimation of relationships for limited dependent variables. Econometrics 1958; 26: 24-36.
9. Amemiya T,. Introduction to statistics and econometrics, Boston: Harvard University Press, 1994.
10. Moulton L, Halsey N,. A mixture model with detection limits for regression analyses of antibody response to vaccine. Biometrics 1995; 51: 1570-1578.
11. Zhang M, Strawderman R, Cowen M, et al. Bayesian inference for a two-part hierarchical model: an application to profiling providers in managed health care. J Am Stat Assoc 2006; 101: 934-945.
12. Manning W, Basu A, Mullahy J,. Generalized modeling approaches to risk adjustment of skewed outcomes data. J Health Econom 2005; 24 (3): 465-488.
13. Liu L, Strawderman R, Cowen M, et al. A flexible two-part random effects model for correlated medical costs. J Health Econom 2010; 29: 110-123.
14. Azzalini A,. A class of distributions which includes the normal ones. Scand J Stat 1985; 12: 171-178.
15. Chai H, Bailey K,. Use of log-skew-normal distribution in analysis of continuous data with a discrete component at zero. Stat Med 2008; 27: 3643-3655.
16. Mahmud S, Lou W, Johnston N,. A probit-log-skew-normal mixture model for repeated measures data with excess zeros, with application to a cohort study of paediatric respiratory symptoms. BMC Med Res Methodol 2010; 10: 55.
17. Box GEP, Cox DR,. An analysis of transformations. J Roy Stat Soc Series B 1964; 26: 211252.
18. Tooze JA, Midthune D, Dodd KW, et al. A new statistical method for estimating the usual intake of episodically consumed foods with application to their distribution. J Am Diet Assoc 2006; 106: 1575-1587.
19. Raudenbush S, Yang M, Yosef M,. Maximum likelihood for generalized linear models with nested random effects via high-order, multivariate Laplace approximation. J Comput Graph Stat 2000; 9: 141-157.
20. Liu L, Conaway M, Knaus W, et al. A random effects four-part model, with application to correlated medical costs. Comput Stat Data Anal 2008; 52: 4458-4473.
21. Littell R, Milliken G, Stroup W, et al. SAS for mixed model, 2nd ed. Cary, NC: SAS Institute Inc, 2006.
22. Sobell L, Sobell M, Timeline follow-back: a technique for assessing self-reported alcohol consumption. In: Litten R, Allen J, (eds). Measuring Alcohol Consumption: Psychosocial and Biochemical Methods, Totowa, NJ: Humana Press Inc, 1992, pp. 41-72.
23. Sobell M, Sobell L, Klajner F, et al. The reliability of a timeline method for assessing normal drinker collegestudents recent drinking history-utility for alcohol research. Addict Behav 1986; 11: 149-161.
24. Sobell L, Sobell M, Leo G, et al. Reliability of a timeline method-assessing normal drinkers reports of recent drinking and a comparative-evaluation across several populations. Brit J Addict 1988; 83: 393-402.
25. Carey KB, Carey MP, Maisto SA, et al. Temporal stability of the timeline followback interview for alcohol and drug use with psychiatric outpatients. J Stud Alcohol 2004; 65: 774-781.
26. Stram D, Lee J,. Variance components testing in the longitudinal mixed effects model. Biometrics 1994; 51: 1196.
27. Lu SE, Lin Y, Shih W,. Analyzing excessive no changes in clinical trials with clustered data. Biometrics 2004; 60: 257-267.
28. Albert PS,. Letter to the editor. Biometrics 2005; 47: 879-881.
29. McDonald J, Xu Y,. A generalization of the beta-distribution with applications. J Econom 1995; 66 (1-2): 133-152.
30. Sun J, Frees E, Rosenberg M,. Heavy-tailed longitudinal data modeling using copulas. Insur Math Econom 2008; 42: 817-830.
31. Chiou J, Muller H,. Quasi-likelihood regression with unknown link and variance functions. J Am Stat Assoc 1998; 93: 1376-1387.
32. Chiou J, Muller H,. Estimated estimating equations: semiparametric inference for clustered and longitudinal data. J Roy Stat Soc Series B 2005; 67: 531-553.
33. Basu A, Rathouz PJ,. Estimating marginal and incremental effects on health outcomes using flexible link and variance function models. Biostatistics 2005; 6: 93-109.
34. Leng C, Zhang W, Pan J,. Semiparametric mean-covariance regression analysis for longitudinal data. J Am Stat Assoc 2010; 105: 181-193.
35. Chen J, Liu L, Johnson B, et al. New estimation method for semiparametric mixed models, with application to alcohol treatment research. Stat Med 2012. (Under revision.
36. Rigby R, DM S,. Generalized additive models for location, scale and shape. Appl Stat 2005; 54: 507-554.
37. Nelson K, Lipsitz S, Fitzmaurice G, et al. Use of the probability integral transformation to fit nonlinear mixed-effects models with nonnormal random effects. J Comput Graph Stat 2006; 15: 39-57.
38. Liu L, Yu Z,. A likelihood reformulation method in non-normal random effects models. Stat Med 2008; 27: 3105-3124.
39. Liu L, Ma J, Johnson B,. A multi-level two-part random effects model, with application to an alcohol dependence study. Stat Med 2008; 27: 3528-3539.
40. Berk KN, Lachenbruch PA,. Repeated measures with zeros. Stat Meth Med Res 2002; 11: 303-316.
41. Epstein M, Lin X, Boehnke M,. A tobit variance-component method for linkage analysis of censored trait data. Am J Human Genet 2003; 72: 611-620.
42. Bjerre B, Marques P, Selen J, et al. Swedish alcohol ignition interlock programme for drink-drivers: effects on hospital care utilization and sick leave. Addiction 2007; 102: 560-570.
43. Li P, Schneider J, Ward M,. Effect of critical access hospital conversion on patient safety. Health Serv Res 2007; 42: 2089-2108.
44. Twisk J, Rijmen F,. Longitudinal tobit regression: a new approach to analyze outcome variables with floor or ceiling effects. J Clin Epidemiol 2009; 62: 953-958.
45. Abramowitz M, Stegun I,. Handbook of mathematical functions, New York: Dover, 1972.
46. Golub GH, Welsch JH,. Calculation of Gaussian quadrature rules. Math Comput 1969; 23: 221-230.