Introduction Formula Examples Discussion References New Epidemiologic Measures in Multilevel Study: Median Risk Ratio, Median Hazard Ratio and Median Beta Jinseob Kim 1 Graduate School of Public Health, Seoul National University, Korea Apr 4, 2014 Jinseob Kim 1 New Epidemiologic Measures in Multilevel Study:
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New Epidemiologic Measures in Multilevel Study: Median Risk Ratio, Median Hazard Ratio and Median Beta
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IntroductionFormula
ExamplesDiscussionReferences
New Epidemiologic Measures in MultilevelStudy:
Median Risk Ratio, Median Hazard Ratio and MedianBeta
Jinseob Kim1
Graduate School of Public Health, Seoul National University, Korea
Apr 4, 2014
Jinseob Kim1 New Epidemiologic Measures in Multilevel Study:
IntroductionFormula
ExamplesDiscussionReferences
Contents
1 IntroductionICC & VPCMultilevel analysis: binomial caseThis study
2 FormulaBrief review of median ORMedian RR, Median HR, Median Beta
3 ExamplesDataCount dataCox proportional hazard model
4 Discussion
Jinseob Kim1 New Epidemiologic Measures in Multilevel Study:
IntroductionFormula
ExamplesDiscussionReferences
ICC & VPCMultilevel analysis: binomial caseThis study
목표
1 Multilevel study에서 그룹변수의 효과를 설명하는 방법을소개한다.
2 그룹변수의 효과를 직관적으로 설명할 수 있는 새로운 지표를제시한다.
3 실제로 어떻게 계산하고 해석되는지 예제를 통해 알아본다.
4 새로운 역학지표로서의 의의.
Jinseob Kim1 New Epidemiologic Measures in Multilevel Study:
IntroductionFormula
ExamplesDiscussionReferences
ICC & VPCMultilevel analysis: binomial caseThis study
예시
Health survey conducted in 2000 in the county of Scania,Sweden[11]
1 10,723 persons, 18-80 age, 60 areas
2 Individual propensity of consulting private physicians VS Area.
3 Y: 최근 1년간 private physicians consulting 경험유무:binomial
4 X: individual level variables, area level variables, area
Jinseob Kim1 New Epidemiologic Measures in Multilevel Study:
IntroductionFormula
ExamplesDiscussionReferences
ICC & VPCMultilevel analysis: binomial caseThis study
Jinseob Kim1 New Epidemiologic Measures in Multilevel Study:
IntroductionFormula
ExamplesDiscussionReferences
ICC & VPCMultilevel analysis: binomial caseThis study
Effect of group variable
1 Repeated measure, random effect, multilevel, hierarchial GLM,GEE, GLMM...
2 그룹변수의 beta값 못구하겠다. (그룹이 너무 많다.. 50개 100개...)
3 구해본들.. 해석난감.. (50개 그룹 → 49개 베타값)
4 그룹변수의 효과를 숫자 하나로 표시한다: Vgroup
5 분산이 얼마나 크냐?? 0: 그룹은 의미없다, 클수록 그룹의의미가 크다.
Jinseob Kim1 New Epidemiologic Measures in Multilevel Study:
IntroductionFormula
ExamplesDiscussionReferences
ICC & VPCMultilevel analysis: binomial caseThis study
5 Multilevel study에서 Group level의 효과를 직관적으로설명할 수 있어 의사결정과 소통에 도움이 될 것이다.
Jinseob Kim1 New Epidemiologic Measures in Multilevel Study:
IntroductionFormula
ExamplesDiscussionReferences
Packages
1 lme4, nlme, coxme.. in R
2 Confidence interval for MHR, MRR: calculation issue..
3 Using Bayesian hierarchical model with OpenBUGS, JAGS,Stan..
4 R2OpenBUGS, BRugs, rjags, R2jags, rstan
Jinseob Kim1 New Epidemiologic Measures in Multilevel Study:
IntroductionFormula
ExamplesDiscussionReferences
Reference I
[1] Bartko, J. J. (1966). The intraclass correlation coefficient as a measure of reliability. Psychological reports,19(1):3–11.
[2] Bolker, B. M., Brooks, M. E., Clark, C. J., Geange, S. W., Poulsen, J. R., Stevens, M. H. H., and White,J.-S. S. (2009). Generalized linear mixed models: a practical guide for ecology and evolution. Trends in ecology& evolution, 24(3):127–135.
[3] Browne, W. J., Subramanian, S. V., Jones, K., and Goldstein, H. (2005). Variance partitioning in multilevellogistic models that exhibit overdispersion. Journal of the Royal Statistical Society: Series A (Statistics inSociety), 168(3):599–613.
[4] Coxe, S., West, S. G., and Aiken, L. S. (2009). The analysis of count data: A gentle introduction to poissonregression and its alternatives. Journal of personality assessment, 91(2):121–136.
[5] Do Ha, I. and Lee, Y. (2005). Multilevel mixed linear models for survival data. Lifetime data analysis,11(1):131–142.
[6] Goldstein, H., Browne, W., and Rasbash, J. (2002). Partitioning variation in multilevel models. UnderstandingStatistics: Statistical Issues in Psychology, Education, and the Social Sciences, 1(4):223–231.
[7] Larsen, K. and Merlo, J. (2005). Appropriate assessment of neighborhood effects on individual health:integrating random and fixed effects in multilevel logistic regression. American journal of epidemiology,161(1):81–88.
[8] Larsen, K., Petersen, J. H., Budtz-Jørgensen, E., and Endahl, L. (2000). Interpreting parameters in the logisticregression model with random effects. Biometrics, 56(3):909–914.
[9] Lee, A. H., Wang, K., Scott, J. A., Yau, K. K., and McLachlan, G. J. (2006). Multi-level zero-inflated poissonregression modelling of correlated count data with excess zeros. Statistical Methods in Medical Research,15(1):47–61.
Jinseob Kim1 New Epidemiologic Measures in Multilevel Study:
IntroductionFormula
ExamplesDiscussionReferences
Reference II
[10] Liu, L. and Huang, X. (2008). The use of gaussian quadrature for estimation in frailty proportional hazardsmodels. Statistics in medicine, 27(14):2665–2683.
[11] Merlo, J., Chaix, B., Ohlsson, H., Beckman, A., Johnell, K., Hjerpe, P., Rastam, L., and Larsen, K. (2006). Abrief conceptual tutorial of multilevel analysis in social epidemiology: using measures of clustering in multilevellogistic regression to investigate contextual phenomena. Journal of Epidemiology and Community Health,60(4):290–297.
[13] Therneau, T., Atkinson, E., Sinnwell, J., Schaid, D., and McDonnell, S. (2014). kinship2: Pedigree functions.R package version 1.5.7.
[14] Ver Hoef, J. M. and Boveng, P. L. (2007). Quasi-poisson vs. negative binomial regression: how should wemodel overdispersed count data? Ecology, 88(11):2766–2772.
[15] Vigre, H., Dohoo, I., Stryhn, H., and Busch, M. (2004). Intra-unit correlations in seroconversion toactinobacillus pleuropneumoniae and mycoplasma hyopneumoniae at different levels in danish multi-site pigproduction facilities. Preventive veterinary medicine, 63(1-2):9–28.
[16] Winkelmann, R. and Zimmermann, K. F. (1995). Recent developments in count data modelling: theory andapplication. Journal of economic surveys, 9(1):1–24.
Jinseob Kim1 New Epidemiologic Measures in Multilevel Study: