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Analysis of State Homicide Rates Using Statistical Ranking and Selection Procedures
Department of Mathematics and Statistics, Oakland University, Rochester, MI, USA
Department of Mathematics and Statistics, Oakland University, Rochester, MI, USA
- 1 Department of Mathematics and Statistics, Oakland University, Rochester, MI, USA
- 2 Department of Mathematics and Statistics, Oakland University, Rochester, MI, USA
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Abstract
Nonparametric and parametric subset selection procedures are used in the analysis of state homicide rates (SHRs), for the year 2005 and years 2014-2020, to identify subsets of states that contain the “best” (lowest SHR) and “worst” (highest SHR) rates with a prescribed probability. A new Bayesian model is developed and applied to the SHR data and the results are contrasted with those obtained with the subset selection procedures. All analyses are applied within the context of a two-way block design.
KeywordsHomicide Rates Analysis Reporting SystemProbability of a Correct SelectionBayesian InferenceWinBugsAdditive ModelTukey One-Degree-of-Freedom Test for Additivity
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