A Bayesian Model to Assess a Binary Measurement System When No Gold Standard System Is Available

References

• Blischke, W. R. (1962). “Moment Estimators for the Parameters of a Mixture of Two Binomial Distributions”. The Annals of Mathematical Statistics 33, pp. 444–454.
   Google Scholar
• Boyles, R. (2001). “Gauge Capability for Pass–Fail Systems”. Technometrics 43 (2), pp. 223–229.
   Web of Science ®Google Scholar
• Browne, R. P.; MacKay, R. J.; and Steiner, S. H. (2009). “Improved Measurement-System Assessment for Processes with 100% Inspection”. Journal of Quality Technology 41 (4), pp. 379–388.
   Google Scholar
• Danila, O.; Steiner, S. H.; and MacKay, R. J. (2008). “Assessing a Binary Measurement System”. Journal of Quality Technology 40 (3), pp. 310–318.
   Web of Science ®Google Scholar
• Danila, O.; Steiner, S. H.; and MacKay, R. J. (2010). “Assessment of a Binary Measurement System in Current Use”. Journal of Quality Technology 42, pp. 152–164.
   Web of Science ®Google Scholar
• De Mast, J.; Erdmann, T. P.; and van Wieringen, W. N. (2011). “Pass/Fail Inspection: Continuous Versus Binary Measurands”. Journal of Quality Technology, to appear.
   Google Scholar
• Gelman, A.; Carlin, J.; Stern, H.; and Rubin, D. (2004). Bayesian Data Analysis, 2nd edition. Boca Raton, FL: Chapman # Hall.
   Google Scholar
• Hamada, M. S.; Wilson, A. G.; Resse, C. S.; and Martz, H. F. (2008). Bayesian Reliability. New York: Springer.
   Google Scholar
• Joseph, L.; du Berger, R.; and Bélisle, P. (1997). “Bayesian and Mixed Bayesian/Likelihood Criteria for Sample Size Determination”. Statistics in Medicine 16, pp. 769–781.
   PubMed Web of Science ®Google Scholar
• Joseph, L.; Gyorkos, T. W.; and Coupal, L. (1995). “Bayesian Estimation of Disease Prevalence and the Parameters of Diagnostic Tests in the Absence of a Gold Standard”. American Journal of Epidemiology 141 (3), pp. 263–272.
   PubMed Web of Science ®Google Scholar
• León, R. V.; Li, Y.; Guess, F. M.; and Sawhney, R. S. (2009). “Effect of Not Having Homogeneous Test Units in Accelerated Life Tests”. Journal of Quality Technology 41, pp. 241–246.
   Web of Science ®Google Scholar
• León, R. V.; Ramachandran, R.; Ashby, A. J.; and Thyagarajan, J. (2007). “Bayesian Modeling of Accelerated Life Tests with Random Effects”. Journal of Quality Technology 39 (1), pp. 3–16.
   Web of Science ®Google Scholar
• Lunn, D. J.; Thomas, A.; Best, N.; and Spiegelhalter, D. (2000). “WinBUGS–A Bayesian Modelling Framework: Concepts, Structure, and Extensibility”. Statistics and Computing 10, pp. 325–337.
   Web of Science ®Google Scholar
• Martz, H. F. and Waller, R. A. (1982). Bayesian Reliability Analysis. Hoboken, NJ: John Wiley # Sons.
   Google Scholar
• Morita, S.; Thall, P. F.; and Mueller, P. (2008). “Determining the Effective Sample Size of a Parametric Prior”. Biometrics 64 (2), pp. 595–602.
   PubMed Web of Science ®Google Scholar
• Ng, S. H. (2010). “A Bayesian Model-Averaging Approach for Multiple-Response Optimization”. Journal of Quality Technology 42 (1), pp. 2–68.
   Google Scholar
• Reese, C. S.; Deininger, P.; Hamada, M. S.; and Krabill, R. (2008). “Exploring the Statistical Advantages of Nondestructive Evaluation over Destructive Testing”. Journal of Quality Technology 40 (3), pp. 259–267.
   Google Scholar
• Robert, C. P. (2001). The Bayesian Choice, 2nd edition. New York: Springer.
   Google Scholar
• Rogan, W. J. and Gladen, B. (1978). “Estimating Prevalence from the Results of a Screening Test”. American Journal of Epidemiology 107 (1), pp. 71–76.
   PubMed Web of Science ®Google Scholar
• Stamey, J. D.; Young, D. M.; and Bratcher, T. L. (2006). “Bayesian Sample-Size Determination for One and Two Poisson Rate Parameters with Applications to Quality Control”. Journal of Applied Statistics 33 (6), 583–594.
   Web of Science ®Google Scholar
• van Wieringen, W. N. (2005). “On Identifiability of Certain Latent Class Models”. Statistics and Probability Letters 75, pp. 211–218.
   Web of Science ®Google Scholar
• van Wieringen, W. N. and De Mast, J. (2008). “Measurement System Analysis for Binary Data”. Technometrics 50 (4), pp. 468–478.
   Web of Science ®Google Scholar
• van Wieringen, W. N. and van den Heuvel, E. R. (2005). “A Comparison of Methods for the Evaluation of Binary Measurement Systems”. Quality Engineering 17, pp. 495–507.
   Google Scholar
• Wang, F. and Gelfand, A. E. (2002). “A Simulation-Based Approach to Bayesian Sample Size Determination for Performance under a Given Model and for Separating Models”. Statistical Science 17 (2), pp. 193–208.
   Web of Science ®Google Scholar
• Woodward, P. and Walley, R. (2009). “Bayesian Variable Selection for Fractional Factorial Experiments with Multilevel Categorical Factors”. Journal of Quality Technology 41 (3), pp. 228–240.
   Web of Science ®Google Scholar