Fitting Multistate Transition Models with Autoregressive Logistic Regression

The purpose of this study was to develop a model that predicts the outcome of su pervised exercise for intermittent claudication. The authors present an example of the use of autoregressive logistic regression for modeling observed longitudinal data. Data were collected from 329 participants in a six-month exercise program. The levels of the polytomous outcome variable correspond to states they defined in a Markov de cision model comparing treatment strategies for intermittent claudication. Autoregres sive logistic regression can be used to fit multistate transition models to observed longitudinal data with standard statistical software. The technique allows exploration of alternative assumptions about the dependence in the outcome series and provides transition probabilities for different covariate patterns. Of the alternatives examined, a Markov model including two preceding responses, time, age, ankle brachial index, and duration of disease best described the data. Key words: longitudinal data analysis; autoregressive models; logistic regression; Markov models; peripheral arterial occlu sive disease; intermittent claudication; exercise. (Med Decis Making 1998;18:52- 60)

[1]  J. Neyman,et al.  A simple stochastic model of recovery, relapse, death and loss of patients. , 1951, Human biology.

[2]  I. Ringqvist,et al.  Prediction of the effect of training on the walking tolerance in patients with intermittent claudication. , 1987, Scandinavian journal of rehabilitation medicine.

[3]  A. Wouda,et al.  Changes of walking distance in patients with intermittent claudication during six months intensive physical training. , 1989, VASA. Zeitschrift fur Gefasskrankheiten.

[4]  Frank W. Stitt,et al.  Using Markov Processes to Describe the Prognosis of HIV-1 Infection , 1994, Medical decision making : an international journal of the Society for Medical Decision Making.

[5]  C. L. Chiang,et al.  A transition-probability model for the study of chronic diseases , 1977 .

[6]  J R Beck,et al.  Markov Models in Medical Decision Making , 1993, Medical decision making : an international journal of the Society for Medical Decision Making.

[7]  A. Hillis,et al.  The Markov process as a general method for nonparametric analysis of right-censored medical data. , 1986, Journal of chronic diseases.

[8]  K. Radack,et al.  Conservative management of intermittent claudication. , 1990, Annals of internal medicine.

[9]  J. Paterson,et al.  Walking ability and ankle systolic pressures: observations in patients with intermittent claudication in a short-term walking exercise program. , 1989, Journal of vascular surgery.

[10]  J. Holm,et al.  Physical training of patients with intermittent claudication: indications, methods, and results. , 1978, Surgery.

[11]  N. Lassen,et al.  Effect of daily muscular exercise in patients with intermittent claudication. , 1966, Scandinavian journal of clinical and laboratory investigation. Supplementum.

[12]  G. Beck,et al.  Stochastic Survival Models with Competing Risks and Covariates , 1979 .

[13]  R. Elashoff,et al.  Application of multistage markov modeling to malignant melanoma progression , 1994, Cancer.

[14]  David W. Hosmer,et al.  Applied Logistic Regression , 1991 .

[15]  A S Kapadia,et al.  An illness-death process with time-dependent covariates. , 1989, Biometrics.

[16]  H. Akaike A new look at the statistical model identification , 1974 .

[17]  A. Gardner,et al.  Exercise rehabilitation programs for the treatment of claudication pain. A meta-analysis. , 1995, JAMA.

[18]  S. Pauker,et al.  The Markov Process in Medical Prognosis , 1983, Medical decision making : an international journal of the Society for Medical Decision Making.

[19]  G. Bonney,et al.  Logistic regression for dependent binary observations. , 1987, Biometrics.

[20]  N. Hadler,et al.  Prognosis in SLE: comparison of Markov model to life table analysis. , 1988, Journal of Clinical Epidemiology.