Checking linearity of non-parametric component in partially linear models with an application in systemic inflammatory response syndrome study

Statistical Methods in Medical Research

Volumn 15, Issue 3, 2006, Pages 273-284

  Liang, Hua ^a  

^a UNIVERSITY OF ROCHESTER MEDICAL CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BILIRUBIN; CARBON MONOXIDE; DROTRECOGIN; HEME OXYGENASE 1;

ACCURACY; ANALYTIC METHOD; ANTIINFLAMMATORY ACTIVITY; ARTICLE; CALCULATION; CELL PROTECTION; CONTROLLED STUDY; DATA ANALYSIS; INTERMETHOD COMPARISON; MEDICAL RESEARCH; NONHUMAN; NONPARAMETRIC TEST; NULL HYPOTHESIS; PARAMETRIC TEST; POWER ANALYSIS; RANDOMIZATION; SAMPLING; SIMULATION; STATISTICAL MODEL; SYSTEMIC INFLAMMATORY RESPONSE SYNDROME; VARIANCE;

HUMANS; LIKELIHOOD FUNCTIONS; LINEAR MODELS; STATISTICS, NONPARAMETRIC; SYSTEMIC INFLAMMATORY RESPONSE SYNDROME;

EID: 33744817342     PISSN: 09622802     EISSN: None     Source Type: Journal    
DOI: 10.1191/0962280206sm440oa     Document Type: Article

References (28)

1. Engle RF, Granger CWJ, Rice J, Weiss A. Semiparametric estimates of the relation between weather and electricity sales. Journal of the American Statistical Association 1986; 81: 310-20.
2. Heckman NE. Spline smoothing in partly linear models. Journal of the Royal Statistical Society, Series B 1986; 48: 244-48.
3. Rice JA. Convergence rates for partially splined models. Statistics and Probability Letters 1986; 4: 203-208.
4. Robinson PM. Root-n-consistent semiparametric regression. Econometrica 1988; 56: 931-54.
5. Speckman P. Kernel smoothing in partial linear models. Journal of the Royal Statistical Society, Series B 1988; 50: 413-36.
6. Opsomer JD, Ruppert D. A Root-n consistent backfitting estimator for semiparametric additive modelling. Journal of Computational and Graphical Statistics 1999; 8: 715-32.
7. Härdle W, Liang H, Gao JT. Partially linaer models. Springer Physica-Verlag, 2000.
8. Schmalensee R, Stoker TM. Household gasoline demand in the United States. Econometrica 1999; 67: 645-62.
9. Zeger SL, Diggle PJ. Semiparametric models for longitudinal data with application to CD4 cell numbers in HIV seroconverters. Biometrics 1994; 50: 689-99.
10. Liang H, Wang SJ, Robins J, Carroll R. Estimation in partially linear models with missing covariates. Journal of the American Statistical Association 2004; 99: 357-67.
11. Härdle W, Mammen E. Comparing nonparametric versus parametric regression fits. The Annals of Statistics 1993; 18: 1926-47.
12. Gozalo P. A consistent model specification test for nonparametric estimation of regression function models. Econometric Theory 1993; 9: 451-47.
13. Hart JD. Nonparametric smoothing and lack-of-fit tests. Springer Verlag, 1997.
14. Stute W. Non-parametric model checks for regression, The Annals of Statistics 1997; 25: 613-41.
15. Stute W, Thies G, Zhu LX. Model checks for regression: An innovation approach. The Annals of Statistics 1998; 26: 1916-34.
16. Zhu LX. Model checking of dimension-reduction type for regression. Statistica Sinica 2003; 13: 283-96.
17. Fan J, Zhang C, Zhang J. Generalized likelihood ratio statistics and wilks phenomenon. The Annals of Statistics 2001; 29: 153-93.
18. Hastie TJ, Tibshirani RJ. Generalized additive models. Chapman and Hall, 1990.
19. Crainiceanu C, Ruppert D. Likelihood ratio tests in linear mixed models with one variance component. Journal of the Royal Statistical Society, Series B 2004; 66: 165-85.
20. Crainiceanu C, Ruppert D, Claeskens G, Wand M. Exact likelihood ratio tests for penalized splines. Biometrika 2005; 92: 91-103.
21. Eilers PHC, Marx BD. Flexible smoothing with B-splines and penalties (with comments). Statistical Science 1986; 11: 89-121.
22. Ruppert D, Carroll R. Spatially-adaptive penalties for spline fitting. Australia and New Zealand Journal of Statistics 2000; 42: 205-23.
23. Ruppert D, Wand MP, Carroll RJ. Semiparametric regression. Cambridge University Press, 2003.
24. Brumback BA, Ruppert D, Wand M. Comment on variable selection and function estimation in additive nonparametric regression using a data-based prior by Shively, Kohn, and Wood. Journal of the American Statistical Association 1999; 94: 794-97.
25. Self SG, Liang KY. Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions. Journal of the American Statistical Association 1987; 82: 605-10.
26. Hotchkiss RS, Karl IE. The pathophysiology and treatment of sepsis. New England Journal of Medicine 2003; 348: 138-50.
27. Matthay MA. Severe sepsis - a new treatment with both anticoagulant and anti-inflammatory properties. New England Journal of Medicine 2001; 344: 759-62.
28. Schmidt JE, Morgan JI, Galindo CR, Webb D, Liang H, Tamburro RF. Heme oxygenase-1 mRNA expression in peripheral blood monocytes of patients with systemic inflammatory response syndrome. Pediatric Critical Care Medicine 2004; 5: 554-60.