Analysis of State Homicide Rates Using Statistical Ranking and Selection Procedures - Applied Mathematics

AM > Vol.13 No.7, July 2022

Applied Mathematics

Volume 13, Issue 7 (July 2022)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.96 Citations

Analysis of State Homicide Rates Using Statistical Ranking and Selection Procedures ()

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DOI: 10.4236/am.2022.137037 152 Downloads 646 Views Citations

Author(s)

Anqi Wang, Gary C. McDonald

Affiliation(s)

Department of Mathematics and Statistics, Oakland University, Rochester, MI, USA.

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.

KEYWORDS

Homicide Rates Analysis Reporting System, Probability of a Correct Selection, Bayesian Inference, WinBugs, Additive Model, Tukey One-Degree-of-Freedom Test for Additivity

Share and Cite:

Wang, A. and McDonald, G. (2022) Analysis of State Homicide Rates Using Statistical Ranking and Selection Procedures. Applied Mathematics, 13, 585-601. doi: 10.4236/am.2022.137037.

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