Exploratory quantile regression with many covariates: An application to adverse birth outcomes

Epidemiology

Volumn 22, Issue 6, 2011, Pages 859-866

  Burgette, Lane F ^a   Reiter, Jerome P ^a   Miranda, Marie Lynn ^b  

^a Duke University   (United States)

^b DUKE UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LEAD; TOBACCO SMOKE;

ADULT; ARTICLE; COHORT ANALYSIS; COVARIANCE; DEMOGRAPHY; ENVIRONMENTAL FACTOR; EXPLORATORY RESEARCH; FEMALE; HUMAN; LEAD BLOOD LEVEL; LINEAR REGRESSION ANALYSIS; LOW BIRTH WEIGHT; MALE; PREDICTION; PREGNANCY OUTCOME; PRENATAL EXPOSURE; PRIORITY JOURNAL; PROSPECTIVE STUDY; SOCIAL PSYCHOLOGY; STATISTICAL MODEL;

CAUSALITY; DATA INTERPRETATION, STATISTICAL; FEMALE; HUMANS; INFANT, LOW BIRTH WEIGHT; INFANT, NEWBORN; LINEAR MODELS; PREGNANCY; PREGNANCY OUTCOME; PREMATURE BIRTH; PRENATAL EXPOSURE DELAYED EFFECTS; REGRESSION ANALYSIS;

EID: 80053617116     PISSN: 10443983     EISSN: 15315487     Source Type: Journal    
DOI: 10.1097/EDE.0b013e31822908b3     Document Type: Article

References (41)

1. Bendel RB, Afifi AA. Comparison of stopping rules in forward "step-wise" regression. J Am Stat Assoc. 1977;72:46-53.
2. Breiman L, Friedman JH, Olshen RA, Stone CJ. Classification and Regression Trees. Boca Raton: Chapman & Hall/CRC; 1984.
3. Hoerl AE, Kennard RW. Ridge regression: biased estimation for non-orthogonal problems. Technometrics. 2000;42:80-86.
4. Tibshirani R. Regression shrinkage and selection via the lasso. J R Stat Soc Series B Stat Methodol. 1996;58:267-288.
5. Koenker R, Bassett G Jr. Regression quantiles. Econometrica. 1978;46: 33-50.
6. Zou H, Hastie T. Regularization and variable selection via the elastic net. J R Stat Soc Series B Stat Methodol. 2005;67:301-320. (Pubitemid 40465877)
7. Fenske N, Kneib T, Hothorn T. Identifying risk factors for severe childhood malnutrition by boosting additive quantile regression. Technical Report, University of Munich Department of Statistics, 2009.
8. Wu Y, Liu Y. Variable selection in quantile regression. Stat Sin. 2009;19:801-817.
9. Koenker R. Quantile regression for longitudinal data. J Multivar Anal. 2004;91:74-89. (Pubitemid 39007501)
10. Li Y, Zhu J. L1-norm quantile regression. J Comput Graph Stat. 2008;17:163-185.
11. Li Q, Xi R, Lin N. Bayesian regularized quantile regression. Bayesian Anal. 2010;5:533-556.
12. Zhao P, Yu B. Boosted lasso. In: Lui H, Stine R, Auslender L, chairs. Workshop on Feature Selection for Data Mining.Newport Beach, CA: SIAM; 2005:35-44.
13. Koenker R, Hallock KF. Quantile regression. J Econ Perspect. 2001; 15:143-156. (Pubitemid 33594780)
14. Behrman RE, Butler AS. Preterm Birth: Causes, Consequences and Prevention. Washington, DC: National Academy Press; 1997.
15. Windham GC, Hopkins B, Fenster L, Swan SH. Prenatal active or passive tobacco smoke exposure and the risk of preterm delivery or low birth weight. Epidemiology. 2000;11:427-433. (Pubitemid 30428936)
16. Akaike H. Information theory and an extension of the maximum likelihood principle. In: Petrox BN, Caski F, eds. Second International Symposium on Information Theory. Budapest: Academiai Kiado; 1973: 267-281.
17. Schwarz G. Estimating the dimension of a model. Ann Stat. 1978;6:461-464.
18. Efron B, Hastie T, Johnstone I, Tibshirani R. Least angle regression. Ann Stat. 2004;32:407-499. (Pubitemid 41250302)
19. Miranda ML, Maxson P, Edwards S. Environmental contributions to disparities in pregnancy outcomes. Epidemiol Rev. 2009;31:67-83.
20. Crofts BJ, King R, Johnson A. The contribution of low birth weight to severe vision loss in a geographically defined population. Br J Ophthal-mol. 1998;82:9-13.
21. Lorenz JM, Wooliever DE, Jetton JR, Paneth N. A quantitative review of mortality and developmental disability in extremely premature new-borns. Arch Pediatr Adolesc Med. 1998;152:425-435. (Pubitemid 28283012)
22. McCormick MC, Gortmaker SL, Sobol AM. Very low birth weight children: behavior problems and school difficulty in a national sample. J Pediatr. 1990;117:687-693. (Pubitemid 20382597)
23. Savitz DA, Dole N, Terry JW Jr, Zhou H, Thorp JM Jr. Smoking and pregnancy outcome among African-American and white women in central North Carolina. Epidemiology. 2001;12:636-642. (Pubitemid 33134524)
24. Gonzalez-Cossio T, Peterson KE, Sanin LH, et al. Decrease in birth weight in relation to maternal bone-lead burden. Pediatrics. 1997;100: 856-862. (Pubitemid 27463323)
25. Newton RW, Hunt LP. Psychosocial stress in pregnancy and its relation to low birth weight. BMJ. 1984;288:1191-1194. (Pubitemid 14079085)
26. Orr ST, Reiter JP, Blazer DG, James SA. Maternal prenatal pregnancy-related anxiety and spontaneous preterm birth in Baltimore, Maryland. Psychosom Med. 2007;69:566-570. (Pubitemid 47205741)
27. Orr ST, Blazer DG, James SA, Reiter JP. Depressive symptoms and indicators of maternal health status during pregnancy. J Womens Health. 2007;16:535-542. (Pubitemid 46954798)
28. Burgette LF, Reiter JP. Multiple imputation for missing data via sequential regression trees. Am J Epidemiol. 2010;172:1070-1076.
29. Swamy GK, Edwards S, Gelfand A, James SA, Miranda ML. Maternal age, birth order and race: differential effects on birthweight. J Epidemiol Community Health. In press.
30. Bandura A. Self-efficacy. Corsini Encyclopedia of Psychology. Wiley Online Library, 2010. Available at: http://onlinelibrary.wiley.com/doi/10.1002/ 9780470479216.corpsy0836/abstract.
31. Magnus P, Berg K, Bjerkedal T. The association of parity and birth weight: testing the sensitization hypothesis. Early Hum Dev. 1985;12: 49-54. (Pubitemid 15240821)
32. Navas-Acien A, Guallar E, Silbergeld EK, Rothenberg SJ. Lead exposure and cardiovascular disease-A systematic review. Environ Health Perspect. 2007;115:472-482. (Pubitemid 46554449)
33. Cnattingius S, Mills JL, Yuen J, Eriksson O, Salonen H. The paradoxical effect of smoking in preeclamptic pregnancies: smoking reduces the incidence but increases the rates of perinatal mortality, abruptio placentae, and intrauterine growth restriction. Am J Obstet Gynecol. 1997;177: 156-161. (Pubitemid 27327328)
34. Castles A, Adams EK, Melvin CL, Kelsch C, Boulton ML. Effects of smoking during pregnancy: five meta-analyses. Am J Prev Med. 1999; 16:208-215. (Pubitemid 29152570)
35. Lain KY, Powers RW, Krohn MA, Ness RB, Crombleholme WR, Roberts JM. Urinary cotinine concentration confirms the reduced risk of preeclampsia with tobacco exposure. Am J Obstet Gynecol. 1999;181: 1192-1196.
36. Lustberg M, Silbergeld E. Blood lead levels and mortality. Arch Intern Med. 2002;162:2443-2449. (Pubitemid 35340460)
37. Froehlich TE, Lanphear BP, Auinger P, et al. Association of tobacco and lead exposures with attention deficit/hyperactivity disorder. Pediatrics. 2009;124:e1050-e1063.
38. Muntner P, He J, Cutler JA, Wildman RP, Whelton PK. Trends in blood pressure among children and adolescents. JAMA. 2004;291:2107-2113. (Pubitemid 38580154)
39. Zhang L, Samet J, Caffo B, Punjabi NM. Cigarette smoking and nocturnal sleep architecture. Am J Epidemiol. 2006;164:529-537. (Pubitemid 44412781)
40. Marrie RA, Dawson NV, Garland A. Quantile regression and restricted cubic splines are useful for exploring relationships between continuous variables. J Clin Epidemiol. 2009;62:511-517.
41. Kan K, Tsai WD. Obesity and risk knowledge. J Health Econ. 2004; 23:907-934. (Pubitemid 39194970)