An S-Plus function to calculate relative risks and adjusted means for regression models using natural splines

被引:23
作者
Cao, J.
Valois, M. -F.
Goldberg, M. S.
机构
[1] McGill Univ, Div Clin Epidemiol, Dept Med, Hlth Ctr RVH, Montreal, PQ H3A 1A1, Canada
[2] McGill Univ, Div Math & Stat, Montreal, PQ H3A 1A1, Canada
基金
加拿大健康研究院;
关键词
biometrics; regression; natural cubic splines; generalized linear models; exposure -response functions;
D O I
10.1016/j.cmpb.2006.08.004
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We provide for generalized linear regression models that use natural cubic splines to model predictors an S-Plus function to calculate relative risks (RR), log relative risk (log RR), mean percent change (MPC) for continuous covariates modeled using a logarithmic link as well as adjusted means differences (MD) for the identity link. The function makes explicit use of the natural spline basis functions, the estimated coefficients for each natural spline basis function, and the fitted correlation matrix for the estimated coefficients and can thus accommodate any number of degrees of freedom. The main function produces a publication-quality graph of all of these quantities as compared to a user-specified reference value as well as the associated confidence limits. In another function, specific values of these statistics comparing a vector of values of the independent variable to the reference value can be calculated rather than plotted. (c) 2006 Elsevier Ireland Ltd. All rights reserved.
引用
收藏
页码:58 / 62
页数:5
相关论文
共 25 条
[1]   Flexible modeling of exposure-response relationship between long-term average levels of particulate air pollution and mortality in the American Cancer Society Study [J].
Abrahamowicz, M ;
Schopflocher, T ;
Leffondré, K ;
du Berger, R ;
Krewski, D .
JOURNAL OF TOXICOLOGY AND ENVIRONMENTAL HEALTH-PART A-CURRENT ISSUES, 2003, 66 (16-19) :1625-1653
[2]  
Abrahamowicz M, 1998, J RHEUMATOL, V25, P277
[3]  
ALTMAN DG, 1991, BR J CANC, V64
[4]   Statistical methods in epidemiology: A comparison of statistical methods to analyze dose-response and trend analysis in epidemiologic studies [J].
Boucher, KM ;
Slattery, ML ;
Berry, TD ;
Quesenberry, C ;
Anderson, K .
JOURNAL OF CLINICAL EPIDEMIOLOGY, 1998, 51 (12) :1223-1233
[5]   Controlling for continuous confounders in epidemiologic research [J].
Brenner, H ;
Blettner, M .
EPIDEMIOLOGY, 1997, 8 (04) :429-434
[6]  
BURNETT RT, 2003, SIZE FRACTIONATED PA, V11
[7]   On the use of generalized additive models in time-series studies of air pollution and health [J].
Dominici, F ;
McDermott, A ;
Zeger, SL ;
Samet, JM .
AMERICAN JOURNAL OF EPIDEMIOLOGY, 2002, 156 (03) :193-203
[8]  
Goldberg M.S., 2004, REV ENV HLTH, V18, P269
[9]  
GOLDBERG MS, 2003, REVISED ANAL MONTREA, V11
[10]   DOSE-RESPONSE AND TREND ANALYSIS IN EPIDEMIOLOGY - ALTERNATIVES TO CATEGORICAL ANALYSIS [J].
GREENLAND, S .
EPIDEMIOLOGY, 1995, 6 (04) :356-365