Model selection in logistic joinpoint regression with applications to analyzing cohort mortality patterns

Statistics in Medicine

Volumn 27, Issue 9, 2008, Pages 1508-1526

  Czajkowski, Michal ^a   Gill, Ryan S ^a   Rempala, Grzegorz ^a  

^a UNIVERSITY OF LOUISVILLE   (United States)

Author keywords

Anomaly detection; Logistic joinpoint regression; Model selection; Mortality trends; Occupational cohort

Indexed keywords

DIBROMOCHLOROPROPANE; VINYL CHLORIDE;

ALGORITHM; ARTICLE; BOOTSTRAPPING; CANCER MORTALITY; CANCER RISK; COHORT ANALYSIS; DEATH; HUMAN; INDUSTRIAL WORKER; LIVER CANCER; LIVER SARCOMA; LOGISTIC REGRESSION ANALYSIS; LONGITUDINAL STUDY; MAXIMUM LIKELIHOOD METHOD; MONTE CARLO METHOD; OCCUPATIONAL CANCER; OCCUPATIONAL EXPOSURE; OCCUPATIONAL HAZARD; STATISTICAL MODEL; STATISTICAL SIGNIFICANCE;

ALGORITHMS; BIOMETRY; CHEMICAL INDUSTRY; COHORT STUDIES; HUMANS; LOGISTIC MODELS; LONGITUDINAL STUDIES; MORTALITY; NEOPLASMS; OCCUPATIONAL DISEASES; OCCUPATIONAL EXPOSURE;

EID: 42149113508     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.3017     Document Type: Article

References (36)

1. Banks D. Statistics and homeland defense. How are we meeting the new challenge? AMSTAT News 2005; 49-51.
2. Stoto M, Schonlau M, Mariano L. Syndromic surveillance: is it worth the effort? Chance 2004; 17(1):19-24.
3. Eubank RL. Approximate regression models and splines. Communications in Statistics - Theory and Methods 1984; 13(4):433-484.
4. Hastie T, Tibshirani R, Friedman J. Elements of Statistical Learning: Data Mining, Inference, and Prediction. Springer: New York, 2001.
5. Ulm K. A statistical method for assessing a threshold in epidemiological studies. Statistics in Medicine 1991; 20:341-349.
6. Gössl C, Küchenhoff H. Bayesian analysis of logistic regression with an unknown change point and covariate measurement error. Statistics in Medicine 2001; 20:3109-3121.
7. Stephens DA. Bayesian retrospective multiple-changepoint identification. Applied Statistics 1994; 43:159-178.
8. Green PJ. Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika 1995; 82(4):711-732.
9. Kim HJ, Fay MP, Feuer EJ, Midthune DN. Permutation tests for joinpoint regression with applications to cancer rates. Statistics in Medicine 2000; 19:335-351.
10. Lerman PM. Fitting segmented regression models by grid search. Applied Statistics 1980; 29:634-645.
11. Lewis R, Rempala G. A case-cohort study of angiosarcoma of the liver and brain cancer at a polymer production plant. Journal of Occupational and Environmental Medicine 2003; 45:538-545.
12. Eilers PHC, Marx BD. Flexible smoothing with B-splines and penalties. Statistical Science 1996; 11:89-102.
13. Ruppert D. Selecting the number of knots for penalized splines. Journal of Computational and Graphical Statistics 2002; 11:735-757.
14. R Development Core Team. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing: Vienna, Austria, 2007. ISBN 3-900051-07-0. (Available from: http://www.R-project.org)
15. Worsley KJ. Testing for a two-phase multiple regression. Technometrics 1983; 25:34-42.
16. Kim HJ, Siegmund D. The likelihood ratio test for a change-point in simple linear regression. Biometrika 1989; 76:409-423.
17. Küchenhoff H. An exact algorithm for estimating breakpoints in segmented linear models. Computational Statistics 1997; 12:235-247.
18. Fu YX, Curnow RN. Maximum likelihood estimation of multiple change-points. Biometrika 1990; 77:563-573.
19. Schwarz G. Estimating the dimension of a model. The Annals of Statistics 1978; 6:461-464.
20. Yao YC. Estimating the number of change-points via Schwarz' criterion. Statistics and Probability Letters 1988; 6:181-189.
21. Braun JV, Braun RK, Müller HG. Multiple changepoint fitting via quasilikelihood, with application to DNA sequence segmentation. Biometrika 2000; 87:301-314.
22. Vostrikova LJ. Detecting disorder in multidimensional random process. Soviet Mathematics Doklady 1981; 24:55-59.
23. Chen J, Gupta AK. Testing and locating variance change-points with applications to stock prices. Journal of the American Statistical Association 1997; 88:766-774.
24. Yang T. Bayesian binary segmentation procedure for detecting streakiness in sports. Journal of the Royal Statistical Society, Series A 2004; 167:627-637.
25. Romano JP. Bootstrap and randomization tests of some nonparametric hypotheses. The Annals of Statistics 1989; 17(1):141-159.
26. Rempala G, Szatschneider K. Bootstrapping mortality tables. Scandinavian Actuarial Journal 2004; 1:53-78.
27. Gill RS, Keating JP, Baron MI. Detecting abrupt leaks in blended underground storage tanks. Communications in Statistics - Theory and Methods 2006; 35:727-742.
28. Kim HJ. Correction to 'Permutation tests for joinpoint regression with applications to cancer rates'. Statistics in Medicine 2001; 20:655.
29. Creech JL, Johnson MN. Angiosarcoma of the liver in the manufacture of PVC. Journal of Occupational Medicine 1974; 16:150.
30. Greenberg R, Tamburro C. Exposure indices for epidemiological surveillance of carcinogenic agents in an industrial chemical environment. Journal of Occupational Medicine 1981; 23:353-358.
31. Wu W, Steenland K, Brown D et al. Cohort and case-control analyses of workers exposed to vinyl chloride: an update. Journal of Occupational Medicine 1989; 31:518-523.
32. Kulldorff M. A spatial scan statistic. Communications in Statistics - Theory and Methods 1997; 62(26):1481-1496.
33. Lewis R. Overview of the rubber industry and tire manufacturing. In State of the Art Reviews in Occupational Medicine, Lewis R (ed.). Hanley and Belfus: Philadelphia, PA, 1999; 707-718.
34. Tabershaw J, Gaffey W. Mortality study of workers in the manufacture of vinyl chloride and its polymers. Journal of Occupational Medicine 1974; 16:509-518.
35. Breslow N, Day N. Statistical Methods in Cancer Research. Volume II. The Design and Analysis of Cohort Studies. LARC Science Publishers: Lyon, 1987.
36. Lewis R, Rempala G, Dell L, Mundt K. Vinyl chloride and liver and brain cancer at a polymer production plant in Louisville, Kentucky. Journal of Occupational and Environmental Medicine 2003; 45:533-537.