Repeatability and Reproducibility techniques for the analysis of measurement systems

Abstract This research was conducted with the aim of analyzing two of the main metrological characteristics of any measurement system: Repeatability and Reproducibility. Both of these features play an important role in the analysis of the measurements and they can give us a lot of information about who and what influences any measuring system. The analysis of Repeatability and Reproducibility is generally carried out through the use of the study Gage R&R . This study permits to understand which are the decisive factors in a measurement system, and, definitively, if the process is stable, that is under statistical control or out of statistical control.

[1]  Klaus Hinkelmann,et al.  Design and Analysis of Experiment , 1975 .

[2]  Douglas C. Montgomery,et al.  Introduction to Statistical Quality Control , 1986 .

[3]  Sergio Rapuano,et al.  Uncertainty Evaluation of DAC Time Response Parameters , 2011 .

[4]  Sergio Rapuano,et al.  Word error rate measurement uncertainty estimation in digitizing waveform recorders , 2013 .

[5]  P. Bievre The 2007 International Vocabulary of Metrology (VIM), JCGM 200:2008 [ISO/IEC Guide 99]: Meeting the need for intercontinentally understood concepts and their associated intercontinentally agreed terms. , 2009 .

[6]  R. H. Myers Classical and modern regression with applications , 1986 .

[7]  S. Glantz,et al.  Primer of Applied Regression & Analysis of Variance , 1990 .

[8]  William H. Woodall,et al.  Controversies and Contradictions in Statistical Process Control , 2000 .

[9]  S. Standard GUIDE TO THE EXPRESSION OF UNCERTAINTY IN MEASUREMENT , 2006 .

[10]  D. Montgomery,et al.  GAUGE CAPABILITY ANALYSIS AND DESIGNED EXPERIMENTS. PART II: EXPERIMENTAL DESIGN MODELS AND VARIANCE COMPONENT ESTIMATION , 1993 .

[11]  Lorenzo Ciani,et al.  Uncertainty Interval Evaluation Using the Chi-Square and Fisher Distributions in the Measurement Process , 2010 .

[12]  R. E. Houf,et al.  Statistical analysis of power module thermal test equipment performance , 1988, Fourth Annual IEEE Semiconductor Thermal and Temperature Measurement Symposium.

[13]  Nicola Pasquino,et al.  ANOVA-Based Approach for DAC Diagnostics , 2012, IEEE Transactions on Instrumentation and Measurement.

[14]  David J. Sheskin,et al.  Handbook of Parametric and Nonparametric Statistical Procedures , 1997 .

[15]  William Cyrus Navidi,et al.  Statistics for Engineers and Scientists , 2004 .

[16]  Connie M. Borror,et al.  A Review of Methods for Measurement Systems Capability Analysis , 2003 .

[17]  A. Shaji,et al.  Measurement system analysis , 2006, Third IEEE International Workshop on Electronic Design, Test and Applications (DELTA'06).

[18]  William H. Woodall,et al.  The State of Statistical Process Control as We Proceed into the 21st Century , 2000 .

[19]  Richard K. Burdick,et al.  Confidence Intervals on Measures of Variability in R&R Studies , 1997 .

[20]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[21]  J. Gastwirth Non-parametric Statistical Methods , 1990 .

[22]  Connie M. Borror,et al.  Confidence intervals for variance components from gauge capability studies , 1997 .

[23]  Sergio Rapuano,et al.  The Student’s t distribution to measure the word error rate in analog-to-digital converters , 2012 .

[24]  D. Rubin,et al.  Statistical Analysis with Missing Data. , 1989 .