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Two-sample inference based on one-sample Wilcoxon signed rank statistics
Institution:1. Northern Illinois University De Kalb, IL, USA;2. Eidgenoessische Technische Hochschule, Zürich, Switzerland;1. Department of Bioengineering, Izmir Institute of Technology, Izmir 35433, Turkey;2. Department of Molecular Biology and Genetics, Izmir Institute of Technology, Izmir 35433, Turkey;3. School of Biochemistry & Chemistry, La Trobe University, Kingsbury Drive, Bundoora 3042, Australia;4. Monash Institute of Pharmaceutical Sciences, Monash University, Parkville 3052, Australia;5. School of Pharmacy, University of Nottingham, Nottingham NG7 2RD, UK;1. College of Environmental Science and Engineering, Qingdao University, Qingdao 266071, PR China;2. State Key Laboratory of Environmental Chemistry and Ecotoxicology, Research Center for Eco-Environmental Sciences, Chinese Academy of Sciences, Beijing 100085, PR China;3. Institute of Chemical Safety, Chinese Academy of Inspection and Quarantine, Beijing 100124, PR China;4. Hubei Key Laboratory of Environmental and Health Effects of Persistent Toxic Substances, Institute of Environment and Health, Jianghan University, Wuhan 430056, PR China;5. State Key Laboratory of Environmental and Biological Analysis, Department of Chemistry, Hong Kong Baptist University, Hong Kong, China;1. Centre for Human Psychopharmacology, Swinburne University of Technology, Hawthorn, Australia;2. Institute for Breathing and Sleep, Austin Hospital, Melbourne, Australia;1. Centre for Human Psychopharmacology, Swinburne University of Technology, Hawthorn, Australia;2. Working Group for Driver Monitoring Systems (DMS), International Council for Alcohol, Drugs and Traffic Safety (ICADTS), the Netherlands;3. Injury and Violence Prevention Center, Colorado School of Public Health, University of Colorado Anschutz Medical Campus, Aurora, CO, United States;4. Institute for Breathing and Sleep, Austin Health, Melbourne, Australia;5. Seeing Machines, Fyshwick, Australian Capital Territory, Australia;6. The National Advanced Driving Simulator, University of Iowa, Iowa City, IA, USA;1. Key Laboratory for Biological Effects of Nanomaterials and Nanosafety of Chinese Academy of Sciences, Center for Excellence in Nanoscience, National Center for Nanoscience and Technology, Beijing, 100190, P.R. China;2. The National Laboratory of Protein Engineering and Plant Genetic Engineering, College of Life Sciences, Peking University, Beijing, 100871, P.R. China;3. Clinical Laboratory, Affiliated Hospital of Academy of Military Medical Sciences, Beijing, 100071, P.R. China;4. University of Chinese Academy of Sciences, Beijing, 100049, P.R. China
Abstract:A two-sample test is studied which rejects the null hypothesis of equal population medians when two Wilcoxon distribution free confidence intervals are disjoint. A confidence interval for the difference in population medians is constructed by subtracting the endpoints of two one-sample confidence intervals. Two different ways to select the one-sample intervals are presented. A solution that specifies equal confidence coefficients for the one-sample intervals is recommended. All solutions are shown to have the same asymptotic (Pitman) efficiency as the Mann-Whitney two-sample test.
Keywords:
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