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Original Articles

A Novel Approach to Evaluate Repeatability and Reproducibility for Ordinal Data

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Pages 851-866 | Received 18 Dec 2012, Accepted 02 Jul 2013, Published online: 27 Jan 2014

References

  • Beavers , D. P. , Stamey , J. D. , Bekele , B. N. ( 2011 ). A Bayesian model to assess a binary measurement system when no gold standard system is available . J. Qual. Technol. 43 ( 1 ): 16 – 27 .
  • Bonnini , S. , Salmaso , L. , Piccolo , D. , Solmi , F. ( 2012 ). Permutation inference for a class of mixture models . Commun. Statist. Theor. Meth. 41 : 2879 – 2895 .
  • Burdick , R. K. , Borror , C. M. , Montgomery , D. C. ( 2003 ). A review of methods for measurement systems capability analysis . Technometrics 43 : 342 – 354 .
  • Burdick , K. R. , Borror , C. M. , Montgomery , D. C. ( 2005 ). Design and Analysis of Gauge R&R Studies . Philadelphia : ASA-SIAM Series on Statistics and Applied Probability .
  • Cohen , J. ( 1968 ). Weighted kappa: Nominal scale agreement with provision for scaled disagreement or partial credit . Psychol. Bull. 70 : 213 – 220 .
  • Corduas , M. ( 2011 ). Assessing similarity of rating distributions by Kullback-Liebler divergence . In: Fichet , B. , Piccolor , D. , Verde , R. , Vichi , M. eds. Classification and Multivariate Analysis for Complex Data Structures . Berlin : Springer-Verlag , pp. 219 – 226 .
  • Danila , O. , Steiner , S. H. , Mackay , R. J. ( 2010 ). Assessment of a binary measurement system in current use . J. Qual. Technol. 42 : 152 – 164 .
  • Danila , O. , Steiner , S. H. , Mackay , R. J. ( 2012 ). Assessing a binary measurement system with varying misclassification rates using a latent class random effect model . J. Qual. Technol. 44 : 179 – 191 .
  • Deldossi , L. , Paroli , R. ( 2013 ). Inference on the CUB model: an MCMC approach . In: Giusti , A. , Ritter , G. , Vichi , M. , eds. Classification and Data Mining . Berlin : Springer , pp. 19 – 26 .
  • Deldossi , L. , Zappa , D. ( 2011 ). Measurement errors and uncertainty: a statistical perspective . In: Ingrassia , S. , Rocci , S. , Vichi , M. , eds. New Perspective in Statistical Modeling and Data Analysis . Berlin : Springer , pp. 145 – 153 .
  • D'Elia , A. ( 2000 ). Il meccanismo dei confronti appaiati nella modellistica per graduatorie: sviluppi statistici ed aspetti critici . Quaderni di Statistica 2 : 173 – 203 .
  • D'Elia , A. ( 2003 ). Finite sample performance of the E-M algorithm for ranks data modelling . Statistica LXIII : 41 – 51 .
  • D'Elia , A. , Piccolo , D. ( 2005 ). A mixture model for preference data analysis . Computat. Statist. Data Anal. 49 : 917 – 934 .
  • de Mast , J. , van Wieringen , W. N. ( 2004 ). Measurement system analysis for bounded ordinal data . Qual. Reliab. Eng. Int. 20 : 383 – 395 .
  • de Mast , J. , van Wieringen , W. N. ( 2007 ). Measurement system analysis for categorical measurements: Agreement and kappa-type indices . J. Qual. Technol. 39 : 191 – 202 .
  • de Mast , J. , van Wieringen , W. N. ( 2010 ). Modeling and evaluating repeatibility and reproducibility of ordinal classifications . Technometrics 52 : 94 – 106 .
  • de Mast , J. , Erdmann , T. P. , van Wieringen , W. N. ( 2011 ). Measurement system analysis for binary inspection: continuous versus dichotomous measurand . J. Qual. Technol. 43 : 99 – 112 .
  • Di Iorio , F. , Piccolo , D. ( 2009 ). Generalized residuals in CUB models . Quaderni di Statistica 11 : 73 – 88 .
  • Di Iorio , F. , Iannario , M. ( 2012 ). Residual diagnostics for interpreting CUB models . Statistica LXXII : 163 – 172 .
  • Kupperman , M. ( 1957 ). Further application to information theory to multivariate analysis and statistical inference . Ph.D. dissertation , George Washington University , Washington D.C .
  • Iannario , M. ( 2010 ). On the identifiability of a mixture model for ordinal data . Metron LXVIII : 87 – 94 .
  • Iannario , M. , Piccolo , D. ( 2009 ). A program in R for CUB models inference. Version 2.0 , avaliable at http://www.dipstat.unina.it/cub/software.htm .
  • Iannario , M. , Piccolo , D. ( 2012 ). CUB models: a statistical methods and empirical evidence . In: Kenett , R. S. , Salini , S. , eds. Modern Analysis of Customer Surveys, with Application using R . New York : Wiley , pp. 231 – 254 .
  • International Organization for Standardization (ISO) ( 1994 ). ISO 5725 , Geneva, Switzerland .
  • International Organization for Standardization (ISO) ( 1995 ). Guide to the Expression of Uncertainty in Measurement . Geneva, Switzerland .
  • Masters , G. N. ( 1982 ). A Rasch model for partial credit scoring . Psychometrika 47 : 149 – 174 .
  • Piccolo , D. ( 2003 ). On the moments of a mixture of uniform and shifted binomial random variables . Quaderni di Statistica 5 : 85 – 104 .
  • Piccolo , D. ( 2006 ). Observed information matrix for MUB models . Quaderni di Statistica 8 : 33 – 78 .
  • Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/lsta.

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