Reflection on modern methods: good practices for applied statistical learning in epidemiology.

Statistical learning includes methods that extract knowledge from complex data. Statistical learning methods beyond generalized linear models, such as shrinkage methods or kernel smoothing methods, are being increasingly implemented in public health research and epidemiology because they can perform better in instances with complex or high-dimensional data-settings in which traditional statistical methods fail. These novel methods, however, often include random sampling which may induce variability in results. Best practices in data science can help to ensure robustness. As a case study, we included four statistical learning models that have been applied previously to analyze the relationship between environmental mixtures and health outcomes. We ran each model across 100 initializing values for random number generation, or 'seeds', and assessed variability in resulting estimation and inference. All methods exhibited some seed-dependent variability in results. The degree of variability differed across methods and exposure of interest. Any statistical learning method reliant on a random seed will exhibit some degree of seed sensitivity. We recommend that researchers repeat their analysis with various seeds as a sensitivity analysis when implementing these methods to enhance interpretability and robustness of results.

[1]  Chris Gennings,et al.  Characterization of Weighted Quantile Sum Regression for Highly Correlated Data in a Risk Analysis Setting , 2014, Journal of Agricultural, Biological, and Environmental Statistics.

[2]  Danna Zhou,et al.  d. , 1840, Microbial pathogenesis.

[3]  C. Greider,et al.  Telomere length regulation. , 1996, Annual review of biochemistry.

[4]  V. Climenhaga Markov chains and mixing times , 2013 .

[5]  Trevor Hastie,et al.  An Introduction to Statistical Learning , 2013, Springer Texts in Statistics.

[6]  E. Blackburn,et al.  Telomere states and cell fates , 2000, Nature.

[7]  J. R. Akins,et al.  The estimation of total serum lipids by a completely enzymatic 'summation' method. , 1989, Clinica chimica acta; international journal of clinical chemistry.

[8]  Kevin P. Murphy,et al.  Machine learning - a probabilistic perspective , 2012, Adaptive computation and machine learning series.

[9]  I. Kawachi,et al.  Race/Ethnic and Nativity Disparities in Child Overweight in the United States and England , 2012, The Annals of the American Academy of Political and Social Science.

[10]  Colleen L. Lau,et al.  Bayesian networks in infectious disease eco-epidemiology , 2016, Reviews on environmental health.

[11]  David B. Dunson,et al.  Bayesian data analysis, third edition , 2013 .

[12]  W. Marsden I and J , 2012 .

[13]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[14]  Trevor Hastie,et al.  The Elements of Statistical Learning , 2001 .

[15]  Miss A.O. Penney (b) , 1974, The New Yale Book of Quotations.

[16]  Yechiam Ostchega,et al.  Health and nutrition examination survey plan and operations, 1999-2010 , 2013 .

[17]  Carl-Gustaf Bornehag,et al.  Early prenatal exposure to suspected endocrine disruptor mixtures is associated with lower IQ at age seven. , 2019, Environment international.

[18]  S. Lahiri,et al.  Bootstrapping Lasso Estimators , 2011 .

[19]  Jeff Goldsmith,et al.  An overview of methods to address distinct research questions on environmental mixtures: an application to persistent organic pollutants and leukocyte telomere length , 2019, Environmental Health.

[20]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[21]  Jennifer F. Bobb,et al.  Statistical software for analyzing the health effects of multiple concurrent exposures via Bayesian kernel machine regression , 2018, Environmental Health.

[22]  D. Rubin,et al.  Small-sample degrees of freedom with multiple imputation , 1999 .

[23]  R. Cawthon Telomere measurement by quantitative PCR. , 2002, Nucleic acids research.

[24]  Linda S. Birnbaum,et al.  Cross-sectional Associations between Exposure to Persistent Organic Pollutants and Leukocyte Telomere Length among U.S. Adults in NHANES, 2001–2002 , 2015, Environmental health perspectives.

[25]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[26]  Carl-Gustaf Bornehag,et al.  Repeated holdout validation for weighted quantile sum regression , 2019, MethodsX.

[27]  Thomas de Quincey [C] , 2000, The Works of Thomas De Quincey, Vol. 1: Writings, 1799–1820.

[28]  Gaurav Pandey,et al.  Using machine learning to identify air pollution exposure profiles associated with early cognitive skills among U.S. children. , 2017, Environmental pollution.

[29]  D. Rubin,et al.  Inference from Iterative Simulation Using Multiple Sequences , 1992 .

[30]  Jue Lin,et al.  Socioeconomic status, health behavior, and leukocyte telomere length in the National Health and Nutrition Examination Survey, 1999-2002. , 2013, Social science & medicine.

[31]  R. Tibshirani Regression Shrinkage and Selection via the Lasso , 1996 .

[32]  David C Christiani,et al.  Bayesian kernel machine regression for estimating the health effects of multi-pollutant mixtures. , 2015, Biostatistics.

[33]  Candyce Kroenke,et al.  Analyses and comparisons of telomerase activity and telomere length in human T and B cells: insights for epidemiology of telomere maintenance. , 2010, Journal of immunological methods.

[34]  H. Kan,et al.  Associations between Coarse Particulate Matter Air Pollution and Cause-Specific Mortality: A Nationwide Analysis in 272 Chinese Cities , 2019, Environmental health perspectives.

[35]  Bradley P. Carlin,et al.  Markov Chain Monte Carlo conver-gence diagnostics: a comparative review , 1996 .

[36]  Chi Wang,et al.  Model selection and health effect estimation in environmental epidemiology. , 2008, Epidemiology.

[37]  Eric R. Ziegel,et al.  The Elements of Statistical Learning , 2003, Technometrics.

[38]  Antonella Zanobetti,et al.  PM2.5 and Mortality in 207 US Cities: Modification by Temperature and City Characteristics , 2015, Epidemiology.

[39]  Miscellanea , 1856, Journal of public health, and sanitary review.

[40]  Aldert H Piersma,et al.  Prenatal Phthalate, Perfluoroalkyl Acid, and Organochlorine Exposures and Term Birth Weight in Three Birth Cohorts: Multi-Pollutant Models Based on Elastic Net Regression , 2015, Environmental health perspectives.