116
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Bayesian Estimation of Agreement of Biomarkers in Early Drug Development

, &
Pages 135-145 | Received 28 Nov 2017, Accepted 10 Oct 2018, Published online: 28 May 2019

References

  • Barnard, J., McCulloch, R., and Meng, X.-L. (2000), “Modeling Covariance Matrices in Terms of Standard Deviations and Correlations, With Application to Shrinkage,” Statistica Sinica, 10, 1281–1312.
  • Barnett, V., and Lewis, T. (1984), Outliers in Statistical Data (2nd ed.), Chichester: Wiley.
  • Barnhart, H. X., Haber, M. J., and Lin, L. I. (2007), “An Overview on Assessing Agreement With Continuous Measurements,” Journal of Biopharmaceutical Statistics, 17, 529–569. DOI: 10.1080/10543400701376480.
  • Basu, S., Banerjee, M., and Sen, A. (2000), “Bayesian Inference for Kappa From Single and Multiple Studies,” Biometrics, 56, 577–582.
  • Berger, J. (1994), “An Overview of Robust Bayesian Analysis, (with discussion), Test, 3, 5–124.
  • Berger, J. O., and Bernardo, J. M. (1992a), “On the Development of Reference Prior,” in Bayesian Statistics 4: Proceedings of the Fourth Valencia International Meeting, pp. 35–60.
  • Berger, J. O., and Bernardo, J. M. (1992b), “Reference Priors in a Variance Components Problem,” in Bayesian Analysis in Statistics and Econometrics, New York: Springer, pp. 177–194.
  • Berger, J. O., Bernardo, J. M., and Sun, D. (2009), “The Formal Definition of Reference Priors,” The Annals of Statistics, 37, 905–938. DOI: 10.1214/07-AOS587.
  • Berger, J. O., and Sun, D. (2008), “Objective Priors for the Bivariate Normal Model,” The Annals of Statistics, 36, 963–982. DOI: 10.1214/07-AOS501.
  • Bernardo, J. M. (1979), “Reference Posterior Distributions for Bayesian Inference,” Journal of the Royal Statistical Society, Series B, 41, 113–147. DOI: 10.1111/j.2517-6161.1979.tb01066.x.
  • Bland, J. M., and Altman, D. (1986), “Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement,” The Lancet, 327, 307–310. DOI: 10.1016/S0140-6736(86)90837-8.
  • Cain, M. K., Zhang, Z., and Yuan, K.-H. (2017), “Univariate and Multivariate Skewness and Kurtosis for Measuring Nonnormality: Prevalence, Influence and Estimation,” Behavior Research Methods, 49, 1716–1735. DOI: 10.3758/s13428-016-0814-1.
  • Carlin, B. P., and Louis, T. A. (2000), Bayes and Empirical Bayes Methods for Data Analysis, London: Chapman & Hall/CRC.
  • Carrasco, J. L., and Jover, L. (2003), “Estimating the Generalized Concordance Correlation Coefficient Through Variance Components,” Biometrics, 59, 849–858. DOI: 10.1111/j.0006-341X.2003.00099.x.
  • Chung, Y., and Dey, D. K. (1998), “Bayesian Approach to Estimation of Intraclass Correlation Using Reference Prior,” Communications in Statistics—Theory and Methods, 27, 2241–2255. DOI: 10.1080/03610929808832225.
  • Cowles, M. K., and Carlin, B. P. (1996), “Markov Chain Monte Carlo Convergence Diagnostics: A Comparative Review,” Journal of the American Statistical Association, 91, 883–904. DOI: 10.1080/01621459.1996.10476956.
  • Donner, A., and Wells, G. (1986), “A Comparison of Confidence Interval Methods for the Intraclass Correlation Coefficient,” Biometrics, 42, 401–412. DOI: 10.2307/2531060.
  • Feng, D. (2016), “agRee: Various Methods for Measuring Agreement,” R Package Version 0.4-0.
  • Feng, D., Baumgartner, R., and Svetnik, V. (2015a), “A Bayesian Estimate of the Concordance Correlation Coefficient With Skewed Data,” Pharmaceutical Statistics, 14, 350–358. DOI: 10.1002/pst.1692.
  • Feng, D., Baumgartner, R., and Svetnik, V. (2015b), “A Robust Bayesian Estimate of the Concordance Correlation Coefficient,” Journal of Biopharmaceutical Statistics, 25, 490–507. DOI: 10.1080/10543406.2014.920342.
  • Feng, D., Baumgartner, R., and Svetnik, V. (2018), “A Bayesian Framework for Estimating the Concordance Correlation Coefficient Using Skew-Elliptical Distributions,” The International Journal of Biostatistics, 14, 20170050.
  • Fleiss, J. L. (1986), Design and Analysis of Clinical Experiments, New York: Wiley.
  • Fleiss, J. L., and Shrout, P. E. (1978), “Approximate Interval Estimation for a Certain Intraclass Correlation Coefficient,” Psychometrica, 43, 259–262. DOI: 10.1007/BF02293867.
  • Gelman, A., Meng, X.-L., and Stern, H. (1996), “Posterior Predictive Assessment of Model Fitness via Realized Discrepancies,” Statistica Sinica, 6, 733–807.
  • Gelman, A., and Rubin, D. B. (1992), “Inference From Iterative Simulation Using Multiple Sequences,” Statistical Science, 7, 457–472. DOI: 10.1214/ss/1177011136.
  • Geweke, J. (1991), Evaluating the Accuracy of Sampling-Based Approaches to the Calculation of Posterior Moments (Vol. 196), Minneapolis, MN: Federal Reserve Bank of Minneapolis, Research Department.
  • Gunn, R. N., Murthy, V., Catafau, A. M., Searle, G., Bullich, S., Slifstein, M., Ouellet, D., Zamuner, S., Herance, R., Salinas, C. and Pardo-Lozano, R. (2011), “Translational Characterization of [11C]GSK931145, a PET Ligand for the Glycine Transporter Type 1,” Synapse, 65, 1319–1332. DOI: 10.1002/syn.20966.
  • Hampel, F. R., Ronchetti, E. M., Rousseeuw, P. J., and Stahel, W. A. (2011), Robust Statistics: The Approach Based on Influence Functions (Vol. 114), New York: Wiley.
  • Jeffreys, H. (1946), “An Invariant Form for the Prior Probability in Estimation Problems,” Proceedings of the Royal Society of London, Series A, 186, 453–461.
  • Jeffreys, H. (1957), Scientific Inference, Cambridge, UK: Cambridge University Press.
  • Lange, K. L., Little, R. J., and Taylor, J. M. (1989), “Robust Statistical Modeling Using the t Distribution,” Journal of the American Statistical Association, 84, 881–896. DOI: 10.2307/2290063.
  • Lin, L. (1989), “A Concordance Correlation Coefficient to Evaluate Reproducibility,” Biometrics, 45, 255–268. DOI: 10.2307/2532051.
  • Liu, C. (1994), “Statistical Analysis Using the Multivariate t Distribution,” Ph.D. thesis, Harvard University.
  • Quan, H., and Shih, W. J. (1996), “Assessing Reproducibility by the Within-Subject Coefficient of Variation With Random Effects Models,” Biometrics, 52, 1195–1203. DOI: 10.2307/2532835.
  • Rousson, V., Gasser, T., and Seifert, B. (2003), “Confidence Intervals for Intraclass Correlation in Inter-rater Reliability,” Scandinavian Journal of Statistics, 30, 617–624. DOI: 10.1111/1467-9469.00353.
  • Seah, S., Asad, A. B. A., Baumgartner, R., Feng, D., Williams, D. S., Manigbas, E., Beaver, J. D., Reese, T., Henry, B., Evelhoch, J. L., and Chin, C. L. (2014), “Investigation of Cross-Species Translatability of Pharmacological MRI in Awake Nonhuman Primate—A Buprenorphine Challenge Study,” PLoS One, 9, e110432. DOI: 10.1371/journal.pone.0110432.
  • Shoukri, M. M., Elkum, N., and Walter, S. D. (2006), “Interval Estimation and Optimal Design for the Within-Subject Coefficient of Variation for Continuous and Binary Variables,” BMC Medical Research Methodology, 6, 24.
  • Shrout, P. E., and Fleiss, J. L. (1979), “Intraclass Correlations: Uses in Assessing Rater Reliability,” Psychological Bulletin, 86, 420–428. DOI: 10.1037/0033-2909.86.2.420.
  • Spiegelhalter, D. J., Best, N. G., Carlin, B. P., and Van Der Linde, A. (2002), “Bayesian Measures of Model Complexity and Fit,” Journal of the Royal Statistical Society, Series B, 64, 583–639. DOI: 10.1111/1467-9868.00353.
  • Sun, D., and Berger, J. O. (2007), “Objective Bayesian Analysis for the Multivariate Normal Model,” Bayesian Statistics, 8, 525–562.
  • Svetnik, V., Ma, J., Soper, K. A., Doran, S., Renger, J. J., Deacon, S., and Koblan, K. S., (2007), “Evaluation of Automated and Semi-automated Scoring of Polysomnographic Recordings From a Clinical Trial Using Zolpidem in the Treatment of Insomnia,” Sleep, 30, 1562–1574. DOI: 10.1093/sleep/30.11.1562.
  • Van Dyk, D. A., and Meng, X.-L. (2001), “The Art of Data Augmentation,” Journal of Computational and Graphical Statistics, 10, 1–50. DOI: 10.1198/10618600152418584.
  • Vanbelle, S., and Lesaffre, E. (2017), “Modeling Agreement on Bounded Scales,” Statistical Methods in Medical Research, 27, 3460–3477. DOI: 10.1177/0962280217705709.
  • Vidal, I. and de Castro, M. (2017), “Bayesian Inference for Agreement Measures,” Journal of Biopharmaceutical Statistics, 27, 809–823. DOI: 10.1080/10543406.2016.1226323.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.