1. Department of Biostatistics, University of Pittsburgh Graduate School of Public Health, Pittsburgh, PA, USA
2. Division of Pulmonary Medicine, Allergy and Immunology and Department of Pediatrics, Children’s Hospital of Pittsburgh of UPMC, University of Pittsburgh, Pittsburgh, PA, USA
3. Center for Statistical Science, Tsinghua University, Beijing, China
4. Department of Quantitative Health Sciences, Lerner Research Institute, Cleveland Clinic Foundation, Cleveland, OH, USA
5. Division of Rheumatology and Clinical Immunology, Department of Medicine, University of Pittsburgh School of Medicine, Pittsburgh, PA, USA