Modeling length of stay in hospital and other right skewed data: Comparison of phase-type, gamma and log-normal distributions

Value in Health

Volumn 12, Issue 2, 2009, Pages 309-314

  Faddy, Malcolm ^a   Graves, Nicholas ^a,c   Pettitt, Anthony ^a,b  

^a QUEENSLAND UNIVERSITY OF TECHNOLOGY   (Australia)

^b LANCASTER UNIVERSITY   (United Kingdom)

^c PRINCESS ALEXANDRA HOSPITAL   (Australia)

Author keywords

Covariate dependence; Length of stay; Markov chain; Right skewed data; Statistical modeling

Indexed keywords

ADULT; AGED; ARTICLE; HOSPITAL DISCHARGE; HOSPITALIZATION; HUMAN; LENGTH OF STAY; MATHEMATICAL MODEL; PATIENT DECISION MAKING; PRIORITY JOURNAL; REGRESSION ANALYSIS; AUSTRALIA; COMPARATIVE STUDY; DECISION MAKING; MULTIVARIATE ANALYSIS; NORMAL DISTRIBUTION; PROBABILITY; STATISTICAL DISTRIBUTION; STATISTICAL MODEL; STATISTICS; STATISTICS AND NUMERICAL DATA;

DECISION MAKING; HUMANS; LENGTH OF STAY; MARKOV CHAINS; MODELS, STATISTICAL; MULTIVARIATE ANALYSIS; NORMAL DISTRIBUTION; PATIENT DISCHARGE; QUEENSLAND; STATISTICAL DISTRIBUTIONS; STATISTICS AS TOPIC;

EID: 60349101048     PISSN: 10983015     EISSN: 15244733     Source Type: Journal    
DOI: 10.1111/j.1524-4733.2008.00421.x     Document Type: Article

References (20)

1. Dodd S, Bassi A, Bodger K, Williamson P. A comparison of multivariable regression models to analyse cost data. J Eval Clin Pract 2006 12 : 76 86.
2. Plowman RP, Graves N, Griffin MAS, et al. The rate and cost of hospital-acquired infections occurring in patients admitted to selected specialties of a district general hospital in England and the national burden imposed. J Hosp Infect 2001 47 : 198 209.
3. Roberts RR, Frutos PW, Ciavarella GC, et al. Distribution of fixed versus variable costs of hospital care. J Am Med Assoc 1999 281 : 644 9.
4. Graves N, Weinhold D, Roberts JAR. Correcting for bias when estimating the cost of hospital acquired infection: an analysis of lower respiratory tract infections in non-surgical patients. Health Econ 2005 14 : 755 61.
5. Jones A. Health econometrics. In : Culyer A, Newhouse J, eds. Handbook of Health Economics. Amsterdam : Elsevier, 2000.
6. Mullahy J. Much ado about two: reconsidering retransformation and the two-part model in health econometrics. J Health Econ 1998 17 : 247 81.
7. Manning WG. The logged dependent variable, heteroscedasticity, and the retransformation problem. J Health Econ 1998 17 : 283 95.
8. Manning WG, Mullahy J. Estimating log models: to transform or not to transform? J Health Econ 2001 20 : 461 49.
9. Park R. Estimation with heteroscedastic error terms. Econometrica 1966 34 : 888.
10. Basu A, Manning WG, Mullahy J. Comparing alternative models: log versus Cox proportional hazard? Health Econ 2004 13 : 749 65.
11. Faddy MJ. Examples of fitting structured phase-type distributions. Appl Stochastic Models & Data Anal 1994 10 : 247 55.
12. Faddy MJ, McClean SI. Using a multi-state model to enhance understanding of geriatric patient care. Aust Health Rev 2007 31 : 91 7.
13. Faddy MJ, McClean SI. Markov chain modelling for geriatric patient care. Methods Inf Med 2005 44 : 369 73.
14. Marshall AH, Shaw B, McClean SI. Estimating the costs for a group of geriatric patients using the Coxian phase-type distribution. Stat Med 2007 26 : 2716 29.
15. Graves N, Birrell F, Whitby M. The effect of pressure ulcers on length of hospital stay. ICHE 2005 26 : 293 7.
16. Graves N, Weinhold D, Birrell F, et al. The effect of healthcare-acquired infection on length of hospital stay and cost. ICHE 2007 28 : 280 92.
17. Neuts MF. Matrix Geometric Solutions in Stochastic Models. Baltimore : Johns Hopkins University Press, 1981.
18. Davison AC. Statistical Models. Cambridge : Cambridge University Press, 2003.
19. National Audit Office. Inpatient Admissions and Bed Management in NHS Acute Hospitals. London: The Stationary Office, 2000. Available from: http://www.nao.org.uk/publications/nao-reports/9900254.pdf [Accessed May 11, 2007].
20. Briggs A, Claxton K, Schulper M. Decision Modelling for Health Economic Evaluation. Oxford : Oxford University Press, 2006.