Use of two-segmented logistic regression to estimate change-points in epidemiologic studies

American Journal of Epidemiology

Volumn 148, Issue 7, 1998, Pages 631-642

  Pastor, Roberto ^a   Guallar, Eliseo ^a  

^a INSTITUTO DE SALUD CARLOS III   (Spain)

Author keywords

Case control studies; Epidemiologic methods; Logistic models; Risk assessment

Indexed keywords

ALCOHOL CONSUMPTION; ALGORITHM; ARTICLE; CLINICAL TRIAL; CONTROLLED CLINICAL TRIAL; CONTROLLED STUDY; DOSE RESPONSE; HEART INFARCTION; HUMAN; HYPOTHERMIA; MAJOR CLINICAL STUDY; META ANALYSIS; OUTCOMES RESEARCH; REGRESSION ANALYSIS; SIMULATION; STATISTICAL ANALYSIS;

EID: 0032191938     PISSN: 00029262     EISSN: None     Source Type: Journal    
DOI: 10.1093/aje/148.7.631     Document Type: Article

References (30)

1. Gallant AR, Fuller WA. Fitting segmented polynomial regression models whose join points have to be estimated. J Am Stat Assoc 1973;68:144-7.
2. Feder PI. On asymptotic distribution theory in segmented regression problems - identified case. Ann Stat 1975;3-49-83.
3. Feder PI. The log-likelihood ratio in segmented regression Ann Stat 1975;3:84-97.
4. Zhan M, Dean CB, Routledge R, et al. Inference on segmented polynomial models. Biometrics 1996;52:321-7.
5. Seber GAF, Wild CJ. Nonlinear regression. New York, NY: John Wiley & Sons, 1989.
6. Breslow NE, Day NE, eds. Statistical methods in cancer research. Vol. 1. The analysis of case-control studies. Lyon, France: International Agency for Research on Cancer, 1980.
7. Greenland S. Dose-response and trend analysis in epidemiology: alternatives to categorical analysis. Epidemiology 1995;6:356-65.
8. Witte JS, Greenland S. A nested approach to evaluating dose-response and trend. Ann Epidemiol 1997;7:188-93.
9. Hastie TJ, Tibshirani RJ. Generalized additive models. London, England: Chapman & Hall, 1990.
10. Zhao LP, Kristal AR, White E. Estimating relative risk functions in case-control studies using a nonparametric logistic regression. Am J Epidemiol 1996;144:598-609.
11. Goetghebeur E, Pocock SJ. Detection and estimation of J-shaped risk-response relationships. J R Stat Soc [A] 1995;158: 107-21.
12. McCullagh P, Neider JA. Generalized linear models. London, England: Chapman & Hall, 1989.
13. Lerman PM. Fitting segmented regression models by grid search. Appl Stat 1980;29:77-84.
14. Aptech Systems, Inc. GAUSS. Vol. II. Command reference. Maple Valley, WA: Aptech Systems, Inc., 1993.
15. Efron B, Tibshirani RJ. An introduction to the bootstrap. London, England: Chapman & Hall, 1993.
16. Kardinaal AFM, Kok FJ, Ringstad J, et al. Antioxidants in adipose tissue and risk of myocardial infarction: the EURAMIC Study. Lancet 1993;342:1379-84.
17. Kardinaal AFM, Kok FJ, Kohlmeier L, et al. Association between toenail selenium and risk of acute myocardial infarction in European men: the EURAMIC Study. Am J Epidemiol 1997;145:373-9.
18. Greenland S, Poole C. Interpretation and analysis of differential exposure variability and zero-exposure categories for continuous exposures. Epidemiology 1995;6:326-8.
19. Robertson C, Boyle P, Hsieh C, et al. Some statistical considerations in the analysis of case-control studies when the exposure variables are continuous measurements. Epidemiology 1994;5:164-70.
20. Statistical Science, Inc. S-PLUS reference manual, version 3.2. Seattle WA: MathSoft, Inc., 1993.
21. Davies RB. Hypothesis testing when a nuisance parameter is present only under the alternative. Biometrika 1977;64: 247-54.
22. Davies RB. Hypothesis testing when a nuisance parameter is present only under the alternative. Biometrika 1987;74:33-43.
23. Maldonado G, Greenland S. Interpreting model coefficients when the true model form is unknown. Epidemiology 1993; 4:310-18.
24. Hawkins DM. Point estimation of the parameters of piecewise regression models. Appl Stat 1976;25:51-7.
25. Hudson DJ. Fitting segmented curves whose join points have to be estimated. J Am Stat Assoc 1966;61:1097-129.
26. Hinkley DV. Inference about the intersection in two-phase regression. Biometrika 1969;56:495-504.
27. Hinkley DV. Inference in two-phase regression. J Am Stat Assoc 1971;66:736-43.
28. Bacon DW, Watts DG. Estimating the transition between two intersecting straight lines. Biometrika 1971;58:525-34.
29. Maldonado G, Greenland S. The importance of critically interpreting simulation studies. Epidemiology 1997;8:453-6.
30. Maclure M. Demonstration of deductive meta-analysis: ethanol intake and risk of myocardial infarction. Epidemiol Rev 1993;15:328-51.