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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 51, 2019 - Issue 1
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RESEARCH ARTICLE

Estimation of the random error of binary tests using adaptive polynomials

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References

  • AIAG. 2003. Measurement system analysis: Reference manual. 3rd ed. Detroit, MI: Automotive Industry Action Group.
  • Akkerhuis, T. S., J. De Mast, and T. P. Erdmann. 2017. Statistical evaluation of binary tests: Robustness of latent variable approaches. Measurement 95:473–479.
  • Albert, P. S., and L. E. Dodd. 2004. A cautionary note on the robustness of latent class models for estimating diagnostic error without a gold standard. Biometrics 60 (2):427–435.
  • Albert, P. S., L. M. McShane, and J. H. Shih, and The U.S. National Cancer Institute Bladder Tumor Marker Network. 2001. Latent class modeling approaches for assessing diagnostic error without a gold standard. Biometrics 57 (2):610–619.
  • Beavers, D. P., J. D. Stamey, and B. Nebiyou Bekele. 2011. A Bayesian model to assess a binary measurement system when no gold standard system is available. Journal of Quality Technology 43 (1):16–27.
  • Bierens, H. J. 2005. Semi-nonparametric modeling of densities on the unit interval, with applications to censored mixed proportional hazard models and ordered probability models: Identification and consistency results. Econometric Society World Congress, London, UK, August 19–24.
  • Boyles, R. A. 2001. Gauge capability for pass-fail inspection. Technometrics 43 (2):223–229.
  • Danila, O., S. H. Steiner, and R. J. MacKay. 2008. Assessing a binary measurement system. Journal of Quality Technology 40 (3):310–318.
  • Danila, O., S. H. Steiner, and R. J. MacKay. 2010. Assessment of a binary measurement system in current use. Journal of Quality Technology 42 (2):152–164.
  • Danila, O., S. H. Steiner, and R. J. MacKay. 2012. Assessing a binary measurement system with varying misclassification rates using a latent class random effects model. Journal of Quality Technology 44 (2):179–191.
  • Danila, O., S. H. Steiner, and R. J. MacKay. 2013. Assessing a binary measurement system with varying misclassification rates when a gold standard is available. Technometrics 55 (3):335–345.
  • De Mast, J., T. Akkerhuis, and T. P. Erdmann. 2014. The statistical evaluation of categorical measurements. Quality Engineering 26 (1):16–32.
  • De Mast, J., T. P. Erdmann, and W. Van Wieringen 2011. Measurement system analysis for binary inspection: Continuous versus dichotomous measurands. Journal of Quality Technology 43 (2):99–112.
  • De Mast, J., and W. N. Van Wieringen. 2007. Measurement system analysis for categorical data: Agreement and kappa-type indices. Journal of Quality Technology 39 (3):191–202.
  • Erdmann, T. P. 2012. Statistical evaluation of binary measurement systems. Ph.D. thesis, University of Amsterdam.
  • Erdmann, T. P., T. S. Akkerhuis, J. De Mast, and S. H. Steiner. 2016. The statistical evaluation of a binary test based on combined samples. Journal of Quality Technology 48 (1):54–67.
  • Feinstein, A. 2002. Misguided efforts and future challenges for research on “diagnostic tests.” Journal of Epidemiology Community Health 56:330–332.
  • Frederic, P., and F. Lad. 2008. Two moments of the logit normal distribution. Communications in Statistics - Simulation and Computation 37 (7):1263–1269.
  • Gallant, A. R., and D. W. Nychka. 1987. Semi-nonparametric maximum likelihood estimation. Econometrica 55 (2):363–390.
  • Hand, D. J. 1996. Statistics and the theory of measurement. Journal of the Royal Statistical Society, Ser. A 159 (3):445–492.
  • Hui, S. L., and S. D. Walter. 1980. Estimating the error rates of diagnostic tests. Biometrics 36 (1):167–171.
  • Irwig, L. M., P. M. M. Bossuyt, P. P. Glasziou, C. Gatsonis, and J. G. Lijmer. 2002. Designing studies to ensure that estimates of test accuracy are transferable. British Medical Journal 324:669–671.
  • ISO. 1995. Guide to the expression of uncertainty in measurement. 1st ed. Geneva, Switzerland: International Organization for Standardization.
  • JCGM. 2008. International vocabulary for metrology–basic and general concepts and associated terms (VIM). 3rd ed. ISO/IEC Guide 99–112:2007. Geneva, Switzerland: International Organization for Standardization.
  • Johnson, N. L. 1949. Systems of frequency curves generated by methods of translation. Biometrika 36 (1):149–176.
  • Jones, M. C. 2009. Kumaraswamy’s distribution: A beta-type distribution with some tractability advantages. Statistical Methodology 6 (1):70–81.
  • Knottnerus, J. A., C. Van Weel, and J. W. M. Muris. 2002. Evaluation of diagnostic procedures. British Medical Journal 324:477–480.
  • Kraemer, H. C. 1987. The methodological and statistical evaluation of medical tests: The dexamethasone suppression test in psychiatry. Psychoneuroendocrinology 12 (6):411–427.
  • Lord, F. M., and M. R. Novick. 1968. Statistical theories of mental test scores. Oxford, UK: Addison-Wesley.
  • Nelder, J. A., and R. Mead. 1965. A simplex method for function minimization. Computer Journal 7 (4):308–313.
  • Pepe, M. S. 2003. The statistical evaluation of medical tests for classification and prediction. 1st ed. New York, NY: Oxford University Press.
  • Qu, Y., M. Tan, and M. H. Kutner. 1996. Random effects models in latent class analysis for evaluating accuracy of diagnostic tests. Biometrics 52 (3):797–810.
  • Stevens, S. S. 1946. On the theory of scales of measurement. Science 103:677–680.
  • Stewart, M. B. 2004. Semi-nonparametric estimation of extended ordered probit models. Stata Journal 4 (1):27–39.
  • Torrance-Rynard, V. L., and S. D. Walter. 1997. Effects of dependent errors in the assessment of diagnostic test performance. Statistics in Medicine 16 (19):2157–2175.
  • Vacek, P. M. (1985). The effect of conditional dependence on the evaluation of diagnostic tests. Biometrics 41 (4):959–968.
  • Van Wieringen, W. N., and J. De Mast, J. 2008. Measurement system analysis for binary data. Technometrics 50 (4):468–478.
  • Vardeman, S. B., and E. S. Van Valkenburg. 1999. Two-way random effects analyses and gauge R&R studies. Technometrics 41 (3):202–211.

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