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Examining School-Based Bullying Interventions Using Multilevel Discrete Time Hazard Modeling

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Abstract

Although schools have been trying to address bulling by utilizing different approaches that stop or reduce the incidence of bullying, little remains known about what specific intervention strategies are most successful in reducing bullying in the school setting. Using the social-ecological framework, this paper examines school-based disciplinary interventions often used to deliver consequences to deter the reoccurrence of bullying and aggressive behaviors among school-aged children. Data for this study are drawn from the School-Wide Information System (SWIS) with the final analytic sample consisting of 1,221 students in grades K – 12 who received an office disciplinary referral for bullying during the first semester. Using Kaplan-Meier Failure Functions and Multi-level discrete time hazard models, determinants of the probability of a student receiving a second referral over time were examined. Of the seven interventions tested, only Parent-Teacher Conference (AOR = 0.65, p < .01) and Loss of Privileges (AOR = 0.71, p < .10) were significant in reducing the rate of the reoccurrence of bullying and aggressive behaviors. By using a social-ecological framework, schools can develop strategies that deter the reoccurrence of bullying by identifying key factors that enhance a sense of connection between the students’ mesosystems as well as utilizing disciplinary strategies that take into consideration student’s microsystem roles.

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Acknowledgments

An earlier version of this paper was presented at the Society for Prevention Research conference (2010, June) in Denver, CO as part of the Sloboda and Bukoski SPR Cup Competition (Eddy & Martinez, 2008). The authors’ time was supported by funding from the National Institutes of Health/National Center on Minority Health and Health Disparities (NCMHD/NIH), award P20 MD002316-04 (F. Marsiglia, P.I.) to the Southwest Interdisciplinary Research Center at Arizona State University. The content is solely the responsibility of the authors and does not necessarily represent the official views of the NCMHD or the NIH.

The authors would like to thank Dr. Robert H. Horner and Dr. Jennifer Frank of the Education and Community Supports research surveys unit within the College of Education at the University of Oregon for allowing us use of the data.

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Correspondence to Stephanie L. Ayers.

Appendix A

Appendix A

Effective Sample Size

(Killip et al. 2004)

Because each school did not contribute the same number of students to the study, the harmonic mean was calculated using Stata 9.0 (H = 3.7).

$$ \matrix{{*{20}{c}} {{\text{ESS}} = {\text{mk}}/\left( {{1} + \rho \;\left( {{\text{m}} - {1}} \right)} \right)} \\ {{\text{ESS}} = \left( {{3}.{7}} \right)\left( {{122}} \right)/\left( {{1} + .0{5}\left( {{3}.{7} - {1}} \right)} \right)} \\ {{\text{ESS}} = {397}.{7}0} \\ } $$
ESS:

Effective Sample Size

m:

Average number of students who bullied per school based on the harmonic mean (H)

k:

Number of schools

ρ:

Intraclass correlation

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Ayers, S.L., Wagaman, M.A., Geiger, J.M. et al. Examining School-Based Bullying Interventions Using Multilevel Discrete Time Hazard Modeling. Prev Sci 13, 539–550 (2012). https://doi.org/10.1007/s11121-012-0280-7

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