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The power to detect sex differences in IQ test scores using Multi-Group Covariance and Means Structure Analyses
Authors:Dylan Molenaar  Conor V. Dolan  Jelte M. Wicherts
Affiliation:1. HMI Group, University of Twente, PO Box 217, NL-7500 AE Enschede, The Netherlands;2. Università Ca? Foscari Venezia, Via Torino 155, Venezia, Italy;3. HMI Group, University of Twente, PO Box 217, NL-7500 AE Enschede, The Netherlands;1. DeGroote School of Business McMaster University, Hamilton, Ontario, Canada L8S4M4;2. Stockholm School of Economics, Box 6501, 113 83 Stockholm, Sweden;1. Karakter Child and Adolescent Psychiatry, Zwolle, The Netherlands;2. GGZ Christoph, Mental Health Care, Deventer, The Netherlands;3. Radboud University Nijmegen, Department of Sociology, Nijmegen, The Netherlands;4. Karakter Child and Adolescent Psychiatry University Center, Nijmegen, The Netherlands;5. Radboud University Medical Center, Donders Institute for Brain, Cognition and Behavior, Department of Cognitive Neuroscience, Nijmegen, The Netherlands;1. Crimes against Children Research Center, University of New Hampshire, 10 West Edge Drive, Suite 106, Durham, NH 03824, USA;2. Department of Social Work, University of New Hampshire, 314 Pettee Hall, Durham, NH, USA;1. Singhealth Infectious Diseases Residency, Singapore;2. Department of Infectious Diseases, Singapore General Hospital, Singapore;3. Department of Infection Prevention and Epidemiology, Singapore General Hospital, Singapore;4. Department of Internal Medicine, Singapore General Hospital, Singapore;1. Division of Epidemiology, Department of Environmental Health, University of Cincinnati College of Medicine, Cincinnati, OH, USA;2. Department of Epidemiology, Brown University School of Public Health, Providence, RI, USA;3. Division of General and Community Pediatrics, Department of Pediatrics, Cincinnati Children''s Hospital Medical Center, Cincinnati, OH, USA;4. Division of Biostatistics and Bioinformatics, Department of Environmental Health, University of Cincinnati College of Medicine, Cincinnati, OH, USA;5. BC Children''s Hospital Research Institute, Simon Fraser University, Vancouver, British Columbia, Canada;6. Division of Laboratory Sciences, National Center for Environmental Health, Centers for Disease Control and Prevention, Atlanta, GA, USA
Abstract:Research into sex differences in general intelligence, g, has resulted in two opposite views. In the first view, a g-difference is nonexistent, while in the second view, g is associated with a male advantage. Past research using Multi-Group Covariance and Mean Structure Analysis (MG-CMSA) found no sex difference in g. This failure raised the question whether the g-difference is truly absent or whether MG-CMSA lacked statistical power to detect it. The present study used the likelihood ratio test to investigate the power to detect a g-difference in the WAIS-III factor structure with MG-CMSA. Various situations were examined including those reported in the literature. Results showed that power varies greatly among different scenarios. The scenarios based on previous results were associated with power coefficients of about 0.5–0.6. Implications of these findings are discussed in the light of research into sex differences in IQ.
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