Motivated by recent developments on dimension reduction (DR) techniques for time-series data, the association of a general deterrent effect with the registration and notification (SORN) policy of South Carolina (SC) for preventing sex crimes was examined. Using adult sex crime arrestee data from 1990 to 2005, the idea of a central mean subspace (CMS) is extended to intervention time-series analysis (CMS-ITS) to model the sequential intervention effects of 1995 (the year SC's SORN policy was initially implemented) and 1999 (the year the policy was revised to include online notification) on the time-series spectrum. The CMS-ITS model estimation was achieved via kernel smoothing techniques, and compared to interrupted auto-regressive integrated time-series (ARIMA) models. Simulation studies and application to the real data underscore our model's ability of achieving parsimony, and of detecting intervention effects not earlier determined via traditional ARIMA models. From a public health perspective, findings from this study draw attention to the potential general deterrent effects of SC's SORN policy. These findings are considered in light of the overall body of research on sex crime arrestee registration and notification policies, which remain controversial.
Bibliographical noteFunding Information:
The authors thank the Associate Editor and two anonymous referees whose constructive comments led to a significantly improved presentation of the manuscript. They also thank Dr. T. N. Sriram from the University of Georgia for interesting insights. The first author (Park) is supported in part by the faculty research and development at the College of Charleston. Bandyopadhyay and Letourneau would like to acknowledge funding support from the US Centers for Disease Control and Prevention (Grant # R49-000-567 ) and the National Institute of Justice (Grant # 2006-WG-BX-0002 ). Bandyopadhyay also acknowledges support from the National Center for Advancing Translational Sciences Award (CTSA) Number UL1TR000114 of the National Institutes of Health (NIH). The content is solely the responsibility of the authors, and does not necessarily represent the official views of the NIH.
- Central mean subspace
- Nadaraya-Watson kernel smoother
- Nonlinear time series
- Sex crime arrestee