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General Principles of Data Analysis: Continuous Covariables in Epidemiological Studies

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Handbook of Epidemiology

Abstract

When analysing data from an epidemiological study, some features are rather specific for a particular study design. Those are dealt with among others in Chaps. I.3, I.5 to I.7 and II.4. Other features are generally relevant, see Chaps. I.2 and I.9. This chapter deals with one of these, namely the analysis of continuous covariables. After a short introduction in which relevant measures used for continuous covariables are listed, we present classical methods based on categorisation and subsequent contingency table analysis. The major part of the chapter deals with the analysis of such variables in the context of regression models commonly used in epidemiology (see also Chap. II.3). These methods are then illustrated by real data examples. The chapter ends with practical recommendations and conclusions.

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References

  • Altman DG, Lausen B, Sauerbrei W, Schumacher M (1994) Dangers of using “optimal” cutpoints in the evaluation of prognostic factors. J Natl Cancer Inst 86:829–835

    Article  Google Scholar 

  • Becher H (1993) The concept of residual confounding in regression models and some applications. Stat Med 11:1747–1758

    Article  Google Scholar 

  • Becher H, Steindorf K, Flesch-Janys D (1998) Quantitative cancer risk assessment for dioxins using an occupational cohort. Env Health Persp 106Suppl 2:663–670

    Article  Google Scholar 

  • Bernstein S, Bernstein R (1998) Schaum’s outline of elements of statistics I: descriptive statistics and probability. McGraw-Hill, New York

    Google Scholar 

  • Boucher KM, Slattery ML, Berry TD, Quesenberry C, Anderson K (1998) Statistical methods in epidemiology: a comparison of statistical methods to analyze dose-response and trend analysis in epidemiologic studies. J Clin Epidemiol 51:1223–1233

    Article  Google Scholar 

  • Breslow N, Day N (1980) Statistical methods in cancer research. Volume I — The analysis of case-control studies. IARC Scientific Publications No 32. International Agency for Research on Cancer, Lyon

    Google Scholar 

  • Breslow N, Day N (1987) Statistical methods in cancer research. Volume II — The design and analysis of cohort studies. IARC Scientific Publications No 82. International Agency for Research on Cancer, Lyon

    Google Scholar 

  • Dos Santos Silva I (1999) Cancer epidemiology: Principles and methods. International Agency for Research on Cancer, Lyon

    Google Scholar 

  • Dietz A, Ramroth H, Urban T, Ahrens W, Becher H (2004) Exposure to cement dust, related occupational groups and laryngeal cancer risk: Results of a population based case-control study. International Journal of Cancer 108:907–911

    Article  Google Scholar 

  • Greenland S (1995) Dose-response and trend analysis in epidemiology: alternatives to categorical analysis. Epidemiology 6:356–365

    Article  Google Scholar 

  • Hastie T, Tibshirani R (1986) Generalized additivemodels. Statistical Science 1:297–318

    MathSciNet  Google Scholar 

  • Hastie T, Tibshirani R (1990) Generalized additive models. Chapman & Hall, London

    MATH  Google Scholar 

  • Jedrychowski W, Becher H, Wahrendorf J, Basa-Cierpialek Z, Gomola G (1992) Effect of tobacco smoking on various histologic types of lung cancer. J Cancer Res Clin Oncol 118:276–282

    Article  Google Scholar 

  • Kropp S, Becher H, Nieters A, Chang-Claude J (2001) Low-to-moderate alcohol consumption and breast cancer risk by age 50 years among women in Germany. Am J Epidemiol 154:624–634

    Article  Google Scholar 

  • Maclure M, Greenland S (1992) Tests for trend and dose response: Misinterpretations and alternatives. Am J Epidemiol 135:96–104

    Google Scholar 

  • Mantel N, Haenszel W (1959) Statistical aspects of the analysis of data from retrospective studies of diesease. J Natl Cancer Inst 22:719–748

    Google Scholar 

  • Mizon GE, Richard JF (1986) The encompassing principle and its application to testing non-nested hypothesis. Econometrica 54:657–678

    Article  MATH  MathSciNet  Google Scholar 

  • Nelder JA, Wedderburn RWM (1972) Generalized linear models. J Roy Statist Soc A 135:370–384

    Article  Google Scholar 

  • Neuhäuser M, Becher H (1997) Improved odds ratio estimation by posthoc stratification of case-control data. Stat Med 16:993–1004

    Article  Google Scholar 

  • Robertson C, Boyle P, Hsieh CC, Macfarlane GJ, Maisonneuve P (1994) Some statistical considerations in the analysis of case-control studies when the exposure variables are continuous measurements. Epidemiology 5:164–170

    Article  Google Scholar 

  • Rossi G, Vigotti MA, Zanobetti A, Repetto F, Gianelle V, Schwartz J (1999) Air pollution and cause-specific mortality in Milan, Italy, 1980–1989. Arch Environ Health 54:158–164

    Article  Google Scholar 

  • Royston P, Altman DG (1994) Regression using fractional polynomials of continuous covariables: Parsimonious parametric modelling. Appl Stat 43:429–467

    Article  Google Scholar 

  • Royston P, Thompson SG (1995) Comparing non-nested regression models. Biometrics 51:114–127

    Article  MATH  Google Scholar 

  • Royston P, Ambler G, Sauerbrei W (1999) The use of fractional polynomials to model continuous risk variables in epidemiology. Int J Epidemiol 28:964–974

    Article  Google Scholar 

  • Royston P, Sauerbrei W, Altman DG (2000) Modeling the effects of continuous risk factors [letter]. J Clin Epidemiol 53:219–221

    Article  Google Scholar 

  • Sankoh OA, Yé Y, Sauerborn R, Müller O, Becher H (2001) Clustering of childhood mortality in rural Burkina Faso. Int J Epidemiol 30:485–492

    Article  Google Scholar 

  • Sauerbrei W, Royston P (1999) Building multivariable prognostic and diagnostic models: transformation of the predictors using fractional polynomials. JRSS A 162:71–94

    Google Scholar 

  • Schulgen G, Lausen B, Olsen JH, Schumacher M (1994) Outcome-oriented cutpoints in analysis of quantitative exposures. Am J Epidemiol 140:172–184

    Google Scholar 

  • Stieb DM, Beveridge RC, Brook JR, Smith-Doiron M, Burnett RT, Dales RE, Beaulieu S, Judek S, Mamedov A (2000) Air pollution, aeroallergens and cardiorespiratory emergency department visits in Saint John, Canada. J Expo Anal Environ Epidemiol 10:461–477

    Article  Google Scholar 

  • Zatonski W, Becher H, Lissowska J, Wahrendorf J (1991) Tobacco, alcohol and diet in the etiology of laryngeal cancer — a population-based case-control study. Cancer Causes and Control 2:3–10

    Article  Google Scholar 

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Becher, H. (2005). General Principles of Data Analysis: Continuous Covariables in Epidemiological Studies. In: Ahrens, W., Pigeot, I. (eds) Handbook of Epidemiology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-26577-1_16

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