Verbic, Miroslav and Kuzmin, Franc (2008): Coefficient of Structural Concordance and an Example of its Application: Labour Productivity and Wages in Slovenia. Published in: Panoeconomicus , Vol. 56, No. 2 (2009): pp. 227240.

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Abstract
The article presents the underlying principles, derivation and properties of a simple descriptive measure of concordance between two analogous rank structures that we call the coefficient of structural concordance. It is based upon the idea of Kendall’s coefficient of concordance, which we extend to two rank structures. As the coefficient of structural concordance is a pure intergroup measure of concordance, it is designed to complement the Kendall’s intragroup coefficient of concordance. We apply this descriptive measure by exploring the relationship between wages and labour productivity in Slovenia for the period 1998–2007. We are able to confirm the hypothesis of high concordance between wages and labour productivity, which indicates a stimulative role of wages in production of market traded goods and services.
Item Type:  MPRA Paper 

Original Title:  Coefficient of Structural Concordance and an Example of its Application: Labour Productivity and Wages in Slovenia 
Language:  English 
Keywords:  coefficient of structural concordance, Kendall’s coefficient of concordance, labour productivity, Slovenia, value added per employee, wages 
Subjects:  C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C10  General C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C14  Semiparametric and Nonparametric Methods: General D  Microeconomics > D2  Production and Organizations > D24  Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity J  Labor and Demographic Economics > J3  Wages, Compensation, and Labor Costs > J30  General 
Item ID:  25522 
Depositing User:  Miroslav Verbic 
Date Deposited:  02. Oct 2010 21:38 
Last Modified:  14. Feb 2013 20:02 
References:  Beckett, James, and William R. Schucany. 1979. “Concordance Among Categorized Groups of Judges.” Journal of Educational Statistics, 4(2): 125–137. Carpenter, James, and John Bithell. 2000. “Bootstrap Confidence Intervals: When, Which, What? A Practical Guide for Medical Statisticians.” Statistics in Medicine, 19(9): 1141–1164. Durbin, James. 1951. “Incomplete Blocks in Ranking Experiments.” British Journal of Psychology (Statistical Section), 4: 85–90. Edwards, Allen L. 1954. Statistical methods for the Behavioral Sciences. New York: Holt, Rinehart and Winston. Efron, Bradley. 1979. “Bootstrap Methods: Another Look at the Jackknife.” Annals of Statistics, 7(1): 1–26. Efron, Bradley, and Robert Tibshirani. 1986. “Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy.” Statistical Science, 1(1): 54–77. Feigin, Paul D., and Mayer Alvo. 1986. “Intergroup Diversity and Concordance for Ranking Data: An Approach Via Metrics for Permutations.” Annals of Statistics, 14(2): 691–707. Ferguson, George A. 1966. Statistical Analysis in Psychology and Education: Second Edition. London: McGrawHill. Friedman, Milton. 1940. “A Comparison of Alternative Tests of Significance for the Problem of m Rankings.” Annals of Mathematical Statistics, 11: 86–92. Grzegorzewski, Przemysław. 2006. “The Coefficient of Concordance for Vague Data.” Computational Statistics & Data Analysis, 51(1): 314–322. Hollander, Myles, and Jayaram Sethuraman. 1978. “Testing for Agreement Between Two Groups of Judges.” Biometrika, 65(2): 403–411. Hubert, Lawrence J. 1979. “Generalized Concordance.” Psychometrika, 44(2): 135–142. Kendall, Maurice G., and B. Babington Smith. 1939. “The Problem of m Rankings.” Annals of Mathematical Statistics, 10(3): 275–287. Kendall, Maurice G. 1970. Rank Correlation Methods: Fourth Edition. London: Griffin. Kraemer, Helena C. 1981. “Intergroup Concordance: Definition and Estimation.” Biometrika, 68(3): 641–646. Legendre, Pierre. 2005. “Species Associations: The Kendall Coefficient of Concordance Revisited.” Journal of Agricultural, Biological, and Environmental Statistics, 10(2): 226–245. Li, Loretta, and William R. Schucany. 1975. “Some Properties of a Test for Concordance of Two Groups of Rankings.” Biometrika, 62(2): 417–423. Lian, IeBin, and WenChin Young. 2001. “On the Measurement of Concordance Among Variables and its Application.” Journal of Educational and Behavioral Statistics, 26(4): 431–442. Mooney, Christopher Z., and Robert D. Duval. 1993. “Bootstrapping: A Nonparametric Approach to Statistical Inference.” Sage University Paper Series on Quantitative Applications in the Social Sciences 07095. Rao, Calyampudi R. 1982. “Diversity and Dissimilarity Coefficients: A Unified Approach.” Theoretical Population Biology, 21(1): 24–43. Schucany, William R., and William H. Frawley. 1973. “A Rank Test for Two Group Concordance.” Psychometrika, 38(2): 249–258. Siegel, Sidney. 1956. Nonparametric Statistics. New York: McGrawHill. Siegel, Sidney, and N. John Castellan. 1988. Nonparametric Statistics for the Behavioral Sciences: Second Edition. New York: McGrawHill. Statistical Office of the Republic of Slovenia. 1998–2007. Statistical Yearbook of the Republic of Slovenia. Ljubljana: Statistical Office of the Republic of Slovenia. Wald, Abraham, and Jacob Wolfowitz. 1944. “Statistical Tests Based on Permutations of the Observations.” Annals of Mathematical Statistics, 15(4): 358–372. Willerman, Ben. 1955. “The Adaptation and Use of Kendall's Coefficient of Concordance (W) to Sociometrictype Rankings.” Psychological Bulletin, 52(2): 132–133. 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/25522 