The median hazard ratio: a useful measure of variance and general contextual effects in multilevel survival analysis

Statistics in Medicine

Volumn 36, Issue 6, 2017, Pages 928-938

  Austin, Peter C ^a,b,c   Wagner, Philippe ^d,e   Merlo, Juan ^d,f  

^a INSTITUTE FOR CLINICAL EVALUATIVE SCIENCES   (Canada)

^b UNIVERSITY OF TORONTO   (Canada)

^c Canada   (Canada)

^d LUND UNIVERSITY   (Sweden)

^e UPPSALA UNIVERSITY   (Sweden)

^f Region Skåne ^*  (Sweden)

Author keywords

clustered data; frailty models; Median Hazard Ratio; Median Odds Ratio; multilevel analysis; survival analysis

Indexed keywords

ACUTE HEART INFARCTION; ARTICLE; CANADA; CONTROLLED STUDY; FEMALE; GENERAL CONTEXTUAL EFFECT; HAZARD RATIO; HOSPITAL MORTALITY; HOSPITALIZATION; HUMAN; LIMIT OF QUANTITATION; MALE; MEASUREMENT PRECISION; MEDIAN HAZARD RATIO; MEDIAN ODDS RATIO; MULTILEVEL ANALYSIS; ODDS RATIO; STATISTICAL ANALYSIS; CLUSTER ANALYSIS; EPIDEMIOLOGY; HEART INFARCTION; MORTALITY; ONTARIO; PROPORTIONAL HAZARDS MODEL; STATISTICAL MODEL; SURVIVAL ANALYSIS;

CLUSTER ANALYSIS; HOSPITAL MORTALITY; HUMANS; LOGISTIC MODELS; MULTILEVEL ANALYSIS; MYOCARDIAL INFARCTION; ODDS RATIO; ONTARIO; PROPORTIONAL HAZARDS MODELS; SURVIVAL ANALYSIS;

EID: 85005846706     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.7188     Document Type: Article

References (38)

1. Snijders T, Bosker R. Multilevel Analysis: An Introduction to Basic and Advanced Multilevel Modeling. Sage Publications: London, 1999.
2. Goldstein H. Multilevel Statistical Models. John Wiley & Sons Ltd.: West Sussex, 2011.
3. Singer JD, Willett JB. Applied Longitudinal Data Analysis. Oxford University Press: New York, NY, 2003.
4. Raudenbush SW, Bryk AS. Hierarchical Linear Models: Applications and Data Analysis Methods. Sage Publications: Thousand Oaks, 2002.
5. Merlo J. Multilevel analytic approaches in social epidemiology: measures of health variation compared with traditional measures of association. Journal of Epidemiology & Community Health 2003; 57(8):550–552.
6. Goldstein H, Browne W, Rasbash J. Partitioning variation in generalised linear multilevel models. Understanding Statistics 2002; 1:223–232.
7. Merlo J, Ohlsson H, Lynch KF, Chaix B, Subramanian SV. Individual and collective bodies: using measures of variance and association in contextual epidemiology. Journal of Epidemiology and Community Heath 2009; 63(12):1043–1048.
8. Ghith N, Wagner P, Frolich A, Merlo J. Short term survival after admission for heart failure in Sweden: applying multilevel analyses of discriminatory accuracy to evaluate institutional performance. PLoS One 2016; 11(2e0148187). doi:10.1371/journal.pone.0148187.
9. Merlo J, Wagner P, Ghith N, Leckie G. An original stepwise multilevel logistic regression analysis of discriminatory accuracy: the case of neighbourhoods and health. PLoS One 2016; 11(4e0153778). doi:10.1371/journal.pone.0153778.
10. Merlo J, Viciana-Fernandez FJ, Ramiro-Farinas D. Bringing the individual back to small-area variation studies: a multilevel analysis of all-cause mortality in Andalusia. Spain. Social Science & Medicine 2012; 75(8):1477–1487.
11. Ohlsson H, Librero J, Sundquist J, Sundquist K, Merlo J. Performance evaluations and league tables: do they capture variation between organizational units? An analysis of 5 Swedish pharmacological performance indicators. Medical Care 2011; 49(3):327–331.
12. Ohlsson H, Merlo J. Understanding the effects of a decentralized budget on physicians compliance with guidelines for statin prescription; a multilevel methodological approach. BMC Health Services Reseach 2007; 7(1):68.
13. Hjerpe P, Ohlsson H, Lindblad U, Bostrom KB, Merlo J. Understanding adherence to therapeutic guidelines: a multilevel analysis of statin prescription in the Skaraborg Primary Care Database. European Journal of Clinical Pharmacology 2011; 67(4):415–423.
14. Tu JV, Austin PC, Naylor CD, Iron K, Zhang H. Acute myocardial infarction outcomes in Ontario. In Cardiovascular Health and Services in Ontario: An ICES Atlas, Naylor CD, Slaughter PM (eds). Institute for Clinical Evaluative Sciences: Toronto, 1999; 83–110.
15. Luft, H. S., Romano, P. S., Remy, L. L., and Rainwater, J. Annual Report of the California Hospital Outcomes Project. Sacramento, CA, California Office of Statewide Health Planning and Development, 1993.
16. Pennsylvania Health Care Cost Containment Council. Focus on heart attack in Pennsylvania: research methods and results. Harrisburg, PA, Pennsylvania Health Care Cost Containment Council, 1996.
17. Naylor CD, Rothwell DM, Tu JV, Austin PC, the Cardiac Care Network Steering Committee. Outcomes of coronary artery bypass surgery in Ontario. In Cardiovascular Health and Services in Ontario: An ICES Atlas, Naylor CD, Slaughter PM (eds). Institute for Clinical Evaluative Sciences: Toronto, 1999; 189–198.
18. Coronary artery bypass graft surgery in New York State 1989–1991. Albany, NY, New York State Department of Health, 1992.
19. Jacobs, F. M. Cardiac surgery in New Jersey in 2002: a consumer report. Trenton, NJ, Department of Health and Senior Services, 2005.
20. Pennsylvania Health Care Cost Containment Council. Consumer guide to coronary artery bypass graft surgery, volume 4. Harrisburg, PA, Pennsylvania Health Care Cost Containment Council, 1995.
21. Massachusetts Data Analysis Center. Adult coronary artery bypass graft surgery in the commonwealth of Massachusetts: fiscal year 2010 report. Boston, MA, Department of Health Care Policy, Harvard Medical School, 2012.
22. Diehr P, Cain K, Connell F, Volinn E. What is too much variation? The null hypothesis in small-area analysis. Health Services Research 1990; 24(6):741–771.
23. Merlo J, Chaix B, Yang M, Lynch J, Rastam L. A brief conceptual tutorial of multilevel analysis in social epidemiology: linking the statistical concept of clustering to the idea of contextual phenomenon. Journal of Epidemiology & Community Health 2005; 59(6):443–449.
24. Larsen K, Petersen JH, Budtz-Jorgensen E, Endahl L. Interpreting parameters in the logistic regression model with random effects. Biometrics 2000; 56(3):909–914.
25. Larsen K, Merlo J. Appropriate assessment of neighborhood effects on individual health: integrating random and fixed effects in multilevel logistic regression. Am.J.Epidemiol. 2005; 161(1):81–88.
26. Merlo J, Chaix B, Ohlsson H, Beckman A, Johnell K, Hjerpe P, Rastam L, Larsen K. A brief conceptual tutorial of multilevel analysis in social epidemiology: using measures of clustering in multilevel logistic regression to investigate contextual phenomena. Journal of Epidemiology and Community Heath 2006; 60(4):290–297.
27. Austin PC, Manca A, Zwarenstein M, Juurlink DN, Stanbrook MB. A substantial and confusing variation exists in handling of baseline covariates in randomized controlled trials: a review of trials published in leading medical journals. Journal of Clinical Epidemiology 2010; 63(2):142–153.
28. Chaix B, Rosvall M, Merlo J. Assessment of the magnitude of geographical variations and socioeconomic contextual effects on ischaemic heart disease mortality: a multilevel survival analysis of a large Swedish cohort. Journal of Epidemiology and Community Heath 2007; 61(4):349–355.
29. Lanke J. How to describe the impact of the family-specific frailty (appendix). Historical Methods 2010; 43(1):26–27.
30. Bengtsson T, Dribe M. Quantifying the family frailty effect in infant and child mortality by using median hazard ratio (MHR). Historical Methods 2010; 43(1):15–27.
31. Duchateau L, Janssen P. The Frailty Model. Springer: New York, NY, 2008.
32. Wienke A. Frailty Models in Survival Analysis. Chapman & Hall/CRC: Boca Raton, FL, 2011.
33. Tu JV, Austin P, Naylor CD. Temporal changes in the outcomes of acute myocardial infarction in Ontario, 1992–96. Canadian Medical Association Journal 1999; 161(10):1257–1261.
34. Tu JV, Austin PC, Walld R, Roos L, Agras J, McDonald KM. Development and validation of the Ontario acute myocardial infarction mortality prediction rules. Journal of the American College of Cardiology 2001; 37(4):992–997.
35. Rondeau V, Mazroui Y, Gonzalez JR. frailtypack: an R package for the analysis of correlated survival data with frailty models using penalized likelihood estimation or parametrical estimation. Journal of Statistical Software 2012; 47(4). doi:10.18637/jss.v047.i04.
36. Hougaard P. Analysis of Multivariate Survival Data. Springer-Verlag: New York, 2000.
37. Therneau TM, Grambsch PM. Modeling Survival Data: Extending the Cox Model. Springer-Verlag: New York, 2000.
38. Quaranta L. Agency of change: fertility and seasonal migration in a nineteenth century alpine community. European Journal of Population 2011; 27(4):457–485.