메뉴 건너뛰기




Volumn 50, Issue 12, 2006, Pages 3464-3485

Multivariable regression model building by using fractional polynomials: Description of SAS, STATA and R programs

Author keywords

Fractional polynomials; Function selection; Multivariable model building; Programs

Indexed keywords

DATA REDUCTION; FUNCTION EVALUATION; MATHEMATICAL MODELS; REGRESSION ANALYSIS;

EID: 33646921786     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2005.07.015     Document Type: Article
Times cited : (292)

References (30)
  • 1
    • 0028179558 scopus 로고
    • The dangers of using optimal cutpoints in the evaluation of prognostic factors
    • Altman D.G., Lausen B., Sauerbrei W., and Schumacher M. The dangers of using optimal cutpoints in the evaluation of prognostic factors. J. Nat. Cancer Inst. 86 (1994) 829-835
    • (1994) J. Nat. Cancer Inst. , vol.86 , pp. 829-835
    • Altman, D.G.1    Lausen, B.2    Sauerbrei, W.3    Schumacher, M.4
  • 2
    • 0035643855 scopus 로고    scopus 로고
    • Fractional polynomial model selection procedures: investigation of type I error rate
    • Ambler G., and Royston P. Fractional polynomial model selection procedures: investigation of type I error rate. J. Statist. Simulation Comput. 69 (2001) 89-108
    • (2001) J. Statist. Simulation Comput. , vol.69 , pp. 89-108
    • Ambler, G.1    Royston, P.2
  • 3
    • 1842780228 scopus 로고    scopus 로고
    • Inflation of the type I error rate when a continuous confounding variable is categorized in logistic regression analyses
    • Austin P., and Brunner L. Inflation of the type I error rate when a continuous confounding variable is categorized in logistic regression analyses. Statist. Med. 23 (2004) 1159-1178
    • (2004) Statist. Med. , vol.23 , pp. 1159-1178
    • Austin, P.1    Brunner, L.2
  • 4
    • 0026482612 scopus 로고
    • The concept of residual confounding in regression models and some applications
    • Becher H. The concept of residual confounding in regression models and some applications. Statist. Med. 11 (1992) 1747-1758
    • (1992) Statist. Med. , vol.11 , pp. 1747-1758
    • Becher, H.1
  • 5
    • 0018218088 scopus 로고
    • An improper use of statistical significance testing in study covariables
    • Dales L.G., and Ury H.K. An improper use of statistical significance testing in study covariables. Internat. J. Epidemiol. 4 (1978) 373-375
    • (1978) Internat. J. Epidemiol. , vol.4 , pp. 373-375
    • Dales, L.G.1    Ury, H.K.2
  • 6
    • 26444590486 scopus 로고    scopus 로고
    • Holländer, N., Schumacher, M., 2005. Estimating the functional form of continuous covariates effect on survival time. Comput. Statist. Data Anal., in press, doi:10.1016/j.csda.2004.11.008.
  • 7
    • 0043123251 scopus 로고    scopus 로고
    • Fitting percentage of body fat to simple body measurements
    • See also 〈http://www.amstat.org/publications/jse/v4n1/datasets.johnson.html 〉
    • Johnson R.W. Fitting percentage of body fat to simple body measurements. J. Statist. Education 4 1 (1996). http://www.amstat.org/publications/jse/v4n1/datasets.johnson.html See also 〈http://www.amstat.org/publications/jse/v4n1/datasets.johnson.html 〉
    • (1996) J. Statist. Education , vol.4 , Issue.1
    • Johnson, R.W.1
  • 8
    • 0030110581 scopus 로고    scopus 로고
    • Evaluating the effect of optimized cut-off values in the assessment of prognostic factors
    • Lausen B., and Schumacher M. Evaluating the effect of optimized cut-off values in the assessment of prognostic factors. Comput. Statist. Data Anal. 21 (1996) 307-326
    • (1996) Comput. Statist. Data Anal. , vol.21 , pp. 307-326
    • Lausen, B.1    Schumacher, M.2
  • 9
    • 84950942444 scopus 로고
    • Why stepdown procedures in variable selection
    • Mantel N. Why stepdown procedures in variable selection. Technometrics 12 (1970) 621-625
    • (1970) Technometrics , vol.12 , pp. 621-625
    • Mantel, N.1
  • 10
    • 0017146303 scopus 로고
    • On closed test procedures with special reference to ordered analysis of variance
    • Marcus R., Peritz E., and Gabriel K. On closed test procedures with special reference to ordered analysis of variance. Biometrika 76 (1976) 655-660
    • (1976) Biometrika , vol.76 , pp. 655-660
    • Marcus, R.1    Peritz, E.2    Gabriel, K.3
  • 11
    • 33646904716 scopus 로고    scopus 로고
    • Meier-Hirmer, C., Ortseifen, C., Sauerbrei, W., 2003. Multivariable fractional polynomials in SAS-an algorithm for determining the transformation of continous covariates and selection of covariates. See 〈http://www.imbi.uni-freiburg.de/download/mfp/ 〉.
  • 12
    • 0024592074 scopus 로고
    • The impact of confounder selection criteria on effect estimation
    • Mickey R.M., and Greenland S. The impact of confounder selection criteria on effect estimation. Amer. J. Epidemiol. 129 (1989) 125-137
    • (1989) Amer. J. Epidemiol. , vol.129 , pp. 125-137
    • Mickey, R.M.1    Greenland, S.2
  • 14
    • 0020343311 scopus 로고
    • Maximally selected chi-square statistics
    • Miller R., and Siegmund D. Maximally selected chi-square statistics. Biometrics 38 (1982) 1011-1016
    • (1982) Biometrics , vol.38 , pp. 1011-1016
    • Miller, R.1    Siegmund, D.2
  • 15
    • 0042622454 scopus 로고
    • Generalized body composition prediction equation for men using simple measurement techniques
    • Penrose K.W., Nelson A.G., and Fisher A.G. Generalized body composition prediction equation for men using simple measurement techniques. Med. Sci. Sports Exercise 17 (1985) 189
    • (1985) Med. Sci. Sports Exercise , vol.17 , pp. 189
    • Penrose, K.W.1    Nelson, A.G.2    Fisher, A.G.3
  • 16
    • 33646925786 scopus 로고    scopus 로고
    • R Development Core Team, 2004. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, ISBN 3-900051-00-3, Vienna, Austria, 〈http://www.R-project.org 〉.
  • 17
    • 0242300771 scopus 로고    scopus 로고
    • Quantifying epidemiologic risk factors using non-parametric regression: model selection remains the greatest challenge
    • Rosenberg P.S., Katki H., Swanson C.A., Brown L.M., Wacholder S., and Hoover R.N. Quantifying epidemiologic risk factors using non-parametric regression: model selection remains the greatest challenge. Statist. Med. 22 (2003) 3369-3381
    • (2003) Statist. Med. , vol.22 , pp. 3369-3381
    • Rosenberg, P.S.1    Katki, H.2    Swanson, C.A.3    Brown, L.M.4    Wacholder, S.5    Hoover, R.N.6
  • 18
    • 0004509186 scopus 로고
    • Regression using fractional polynomials of continuous covariates: parsimonious parametric modelling (with discussion)
    • Royston P., and Altman D.G. Regression using fractional polynomials of continuous covariates: parsimonious parametric modelling (with discussion). Appl. Statist. 43 3 (1994) 429-467
    • (1994) Appl. Statist. , vol.43 , Issue.3 , pp. 429-467
    • Royston, P.1    Altman, D.G.2
  • 19
    • 0002335046 scopus 로고    scopus 로고
    • Multivariable fractional polynomials: update
    • Royston P., and Ambler G. Multivariable fractional polynomials: update. Stata Technical Bull. 49 (1999) 17-23
    • (1999) Stata Technical Bull. , vol.49 , pp. 17-23
    • Royston, P.1    Ambler, G.2
  • 20
    • 0032717032 scopus 로고    scopus 로고
    • The use of fractional polynomials to model continuous risk variables in epidemiology
    • Royston P., Ambler G., and Sauerbrei W. The use of fractional polynomials to model continuous risk variables in epidemiology. Internat. J. Epidemiol. 28 (1999) 964-974
    • (1999) Internat. J. Epidemiol. , vol.28 , pp. 964-974
    • Royston, P.1    Ambler, G.2    Sauerbrei, W.3
  • 21
    • 0037470273 scopus 로고    scopus 로고
    • Stability of multivariable fractional polynomial models with selection of variables and transformations: a bootstrap investigation
    • Royston P., and Sauerbrei W. Stability of multivariable fractional polynomial models with selection of variables and transformations: a bootstrap investigation. Statist. Med. 22 (2003) 639-659
    • (2003) Statist. Med. , vol.22 , pp. 639-659
    • Royston, P.1    Sauerbrei, W.2
  • 22
    • 33646898965 scopus 로고    scopus 로고
    • Royston, P., Sauerbrei, W., 2004a. Improving the robustness of fractional polynomial models by preliminary covariate transformation. Submitted for publication.
  • 23
    • 4344621625 scopus 로고    scopus 로고
    • A new approach to modelling interactions between treatment and continuous covariates in clinical trials by using fractional polynomials
    • Royston P., and Sauerbrei W. A new approach to modelling interactions between treatment and continuous covariates in clinical trials by using fractional polynomials. Statist. Med. 23 (2004) 2509-2525
    • (2004) Statist. Med. , vol.23 , pp. 2509-2525
    • Royston, P.1    Sauerbrei, W.2
  • 24
    • 25144487077 scopus 로고    scopus 로고
    • Royston, P., Sauerbrei, W., 2005. Building multivariable regression models with continuous covariates in clinical epidemiology, with an emphasis on fractional polynomials. Methods Inform. Med., to appear.
  • 25
    • 33646941817 scopus 로고    scopus 로고
    • Sauerbrei, W., 1993. Comparison of variable selection procedures in regression models a simulation study and practical examples. In: Michaelis, J., et al. (Eds.), Europaeische Perspektiven der Medizinischen Informatik, Biometrie und Epidemiologie. MMV Muenchen, pp. 108-113.
  • 26
    • 0033426505 scopus 로고    scopus 로고
    • The use of resampling methods to simplify regression models in medical statistics
    • Sauerbrei W. The use of resampling methods to simplify regression models in medical statistics. Appl. Statist. 48 (1999) 313-329
    • (1999) Appl. Statist. , vol.48 , pp. 313-329
    • Sauerbrei, W.1
  • 27
    • 0033474286 scopus 로고    scopus 로고
    • Building multivariable prognostic and diagnostic models: transformation of the predictors by using fractional polynomials
    • Sauerbrei W., and Royston P. Building multivariable prognostic and diagnostic models: transformation of the predictors by using fractional polynomials. J. Roy. Statist. Soc. (Ser. A) 162 (1999) 71-94
    • (1999) J. Roy. Statist. Soc. (Ser. A) , vol.162 , pp. 71-94
    • Sauerbrei, W.1    Royston, P.2
  • 28
    • 0036425152 scopus 로고    scopus 로고
    • Corrigendum: building multivariable prognostic and diagnostic models: transformation of the predictors by using fractional polynomials
    • Sauerbrei W., and Royston P. Corrigendum: building multivariable prognostic and diagnostic models: transformation of the predictors by using fractional polynomials. J. Roy. Statist. Soc. (Ser. A) 162 (2002) 399-400
    • (2002) J. Roy. Statist. Soc. (Ser. A) , vol.162 , pp. 399-400
    • Sauerbrei, W.1    Royston, P.2
  • 29
    • 0033067540 scopus 로고    scopus 로고
    • Sauerbrei, W., Royston, P., Bojar, H., Schmoor, C., Schumacher, M., the German Breast Cancer Study Group, 1999. Modelling the effects of standard prognostic factors in node positive breast cancer. Br. J. Cancer 79, 1752-1760.
  • 30
    • 33646949906 scopus 로고    scopus 로고
    • Stata Corp, 2003. Stata Reference Manual, Version 8. Stata Press, College Station, TX.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.