Gangs and Teen Violence: A Matched Analysis using Trajectory Groups and Propensity Scores
*Amelia Haviland, RAND Corporation  Daniel Nagin, Carnegie Mellon University  Paul Rosenbaum, University of Pennsylvania 

Keywords: observational data, propensity score, trajectory group

Using data from the Montréal Longitudinal-Experimental Study of Boys, the effects on subsequent violence of joining a gang at age 14 are studied controlling for characteristics of boys prior to age 14. The boys are divided into trajectory groups based on violence from ages 11 to 13, and within trajectory groups, joiners are optimally matched to a variable number of controls using propensity scores, Mahalanobis distances, and a combinatorial optimization algorithm. The trajectory groups define meaningful subpopulations where effects may be different, while propensity scores and optimal matching tend to balance twelve baseline covariates. By using between 1 and 7 controls for each joiner, greater efficiency is obtained than by pair matching, with greater bias reduction than is available by matching in a fixed ratio.

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