Proficiency tests with uncertainty information: Extension of the En number for cases with no reference laboratory

Abstract When measurement uncertainties are reported in a proficiency test (PT), the performances are usually evaluated through a comparison with the measurement result of a reference laboratory as set forth in the ISO 13528 standard. On the other hand, the standard does not specify a performance evaluation method when there is no reference laboratory. In this study, the E n number, which is described in ISO 13528 as one of the performance statistics, is reinterpreted as an index for Bayesian posterior predictive checking, and extended to a case with no reference laboratory. This extended E n number proposed in this study has clear statistical meaning and is easy to compute.

[1]  Wolfgang Wöger,et al.  Removing model and data non-conformity in measurement evaluation , 2000 .

[2]  Raghu N. Kacker,et al.  SHORT COMMUNICATION: Response to comments on 'Statistical analysis of CIPM key comparisons based on the ISO Guide' , 2004 .

[3]  Raghu N. Kacker,et al.  Bayesian posterior predictive p-value of statistical consistency in interlaboratory evaluations , 2008 .

[4]  Clemens Elster,et al.  On the adjustment of inconsistent data using the Birge ratio , 2014 .

[5]  Raghu N. Kacker,et al.  Classical and Bayesian interpretation of the Birge test of consistency and its generalized version for correlated results from interlaboratory evaluations , 2008 .

[6]  Clemens Elster,et al.  Analysis of key comparison data and laboratory biases , 2008 .

[7]  G. Mana,et al.  Model selection in the average of inconsistent data: an analysis of the measured Planck-constant values , 2012, 2007.09428.

[8]  Akiko Hirai,et al.  KEY COMPARISON: APMP.L-K1: Calibration of gauge blocks by interferometry: Final Report , 2006 .

[9]  Maurice G. Cox,et al.  The evaluation of key comparison data: determining the largest consistent subset , 2007 .

[10]  Leonard Steinborn,et al.  International Organization for Standardization ISO/IEC 17025 General Requirements for the Competence of Testing and Calibration Laboratories , 2004 .

[11]  Hideyuki Tanaka,et al.  THEORY OF AND COMPUTATION PROGRAM FOR DETERMINATION OF THE REFERENCE VALUE IN KEY COMPARISONS BASED ON BAYESIAN STATISTICS , 2012 .

[12]  Hideyuki Tanaka,et al.  Bayesian statistics for determination of the reference value and degree of equivalence of inconsistent comparison data , 2010 .

[13]  Blaza Toman,et al.  Bayesian Approaches to Calculating a Reference Value in Key Comparison Experiments , 2007, Technometrics.

[14]  Vinicius Alves Pessanha,et al.  Proposta para acreditação da divisão de produção de painéis sorológicos de Bio-Manguinhos / Fiocruz na norma ISO / IEC 17043 - Conformity Assessment – General Requirements for Proficiency Testing , 2011 .

[15]  M. Cox.  The evaluation of key comparison data , 2002 .

[16]  Hideyuki Tanaka,et al.  Proficiency tests with uncertainty information: Detection of an unknown random effect , 2016 .