Productivity estimation and the size-efficiency relationship in English and Welsh police forces: An application of data envelopment analysis and multiple discriminant analysis

This article utilizes data envelopment analysis (DEA) to estimate the productivity of the English and Welsh police forces and to determine whether there are categorical scale effects in policing using multiple discriminant analysis (MDA). The article demonstrates that by using DEA efficiency results it is possible to make inferences about the optimal size and structure of the English and Welsh police forces. In terms of individual force efficiency, the DEA results suggest that the Surrey police force appears to be 38% less efficient than its efficient reference set and that only three police forces (Cleveland, Dorset, and Leicestershire) are consistently efficient.

[1]  J. Mason.  Care and control. , 1997, Nursing times.

[2]  A. Witte,et al.  An Economic Analysis of Crime and Justice: Theory, Methods, and Applications , 1983 .

[3]  Francisco Pedraja-Chaparro,et al.  An assessment of the efficiency of Spanish Courts using DEA , 1996 .

[4]  P. Waddington,et al.  ‘Guardians’ or ‘Bullies'?: Perceptions of the Police amongst adolescent black, white and Asian boys , 1991 .

[5]  Hurvey Leibenstein.  Allocative efficiency vs. X-Efficiency , 1966 .

[6]  A. Charnes,et al.  Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis , 1984 .

[7]  M. A. Walker.  Do we need a clear‐up rate? , 1992 .

[8]  P. Jackson.  The police and social threat: Urban transition, youth gangs, and social control , 1992 .

[9]  M. Farrell.  The Measurement of Productive Efficiency , 1957 .

[10]  T. Weyman-Jones,et al.  Technical and scale efficiency in UK building societies , 1992 .

[11]  Leigh Drake,et al.  Relative efficiency in the branch network of a UK Bank: an empirical study , 1994 .

[12]  T. Weyman-Jones,et al.  Productive and Allocative Inefficiencies in U.K. Building Societies: A Comparison of Non-parametric and Stochastic Frontier Techniques , 1996 .

[13]  Cláudia S. Sarrico,et al.  Data envelopment analysis and university selection , 1997 .

[14]  Emmanuel Thanassoulis,et al.  A comparison of data envelopment analysis and ratio analysis as tools for performance assessment , 1996 .

[15]  Subhash Sharma.  Applied multivariate techniques , 1995 .

[16]  Rolph E. Anderson,et al.  Multivariate Data Analysis with Readings , 1979 .

[17]  Gary D. Ferrier,et al.  Measuring cost efficiency in banking: Econometric and linear programming evidence , 1990 .

[18]  Peter Smith,et al.  Data envelopment analysis applied to quality in primary health care , 1996, Ann. Oper. Res..

[19]  W. Skogan.  The Police and Public Opinion in Britain , 1996 .

[20]  Peter Chalos,et al.  An application of data envelopment analysis to public sector performance measurement and accountability , 1995 .

[21]  Unions and Police Productivity: An Econometric Investigation , 1998 .

[22]  R. Mawby,et al.  Evaluating Core Policing in Britain: The Views of Police and Consumers☆ , 1997 .

[23]  Leigh Drake,et al.  The use of data envelopment analysis to monitor hotel productivity , 1997 .

[24]  M. Stephens.  Care and control: The future of British policing , 1994 .

[25]  Robert M. O'Brien,et al.  POLICE PRODUCTIVITY AND CRIME RATES: 1973‐1992* , 1996 .

[26]  Kavasseri V. Ramanathan,et al.  Perceived social needs, outcomes measurement, and budgetary responsiveness , 1994 .