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Applications and Case Studies

A Bayesian Hierarchical Summary Receiver Operating Characteristic Model for Network Meta-Analysis of Diagnostic Tests

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Pages 949-961 | Received 01 Nov 2015, Published online: 07 Aug 2018

References

  • Barnard, J., McCulloch, R., and Meng, X. (2000), “Modeling Covariance Matrices in Terms of Standard Deviations and Correlations, with Application to Shrinkage,” Statistica Sinica, 10, 1281–1311.
  • Brooks, S., Gelman, A., Jones, G., and Meng, X.-L. (2011), Handbook of Markov Chain Monte Carlo, Boca Raton, FL: CRC Press.
  • Caldwell, D. M., Ades, A. E., and Higgins, J. P. T. (2005), “Simultaneous Comparison of Multiple Treatments: Combining Direct and Indirect Evidence,” BMJ : British Medical Journal, 331, 897–900.
  • Chu, H., Chen, S., and Louis, T. A. (2009a), “Random Effects Models in a Meta-Analysis of the Accuracy of Two Diagnostic Tests Without a Gold Standard,” Journal of the American Statistical Association, 104, 512–523.
  • Chu, H., and Cole, S. R. (2006), “Bivariate Meta-Analysis of Sensitivity and Specificity with Sparse Data: A Generalized Linear Mixed Model Approach,” Journal of Clinical Epidemiology, 59, 1331–1332.
  • Chu, H., Nie, L., Cole, S. R., and Poole, C. (2009b), “Meta-Analysis of Diagnostic Accuracy Studies Accounting for Disease Prevalence: Alternative Parameterizations and Model Selection,” Statistics in Medicine, 28, 2384–2399.
  • Daniels, M. J., and Kass, R. E. (1999), “Nonconjugate Bayesian Estimation of Covariance Matrices and Its Use in Hierarchical Models,” Journal of the American Statistical Association, 94, 1254–1263.
  • Dendukuri, N., Hadgu, A., and Wang, L. (2009), “Modeling Conditional Dependence between Diagnostic Tests: A Multiple Latent Variable Model,” Statistics in Medicine, 28, 441–461.
  • Dendukuri, N., and Joseph, L. (2001), “Bayesian Approaches to modeling the Conditional Dependence between Multiple Diagnostic Tests,” Biometrics, 57, 158–167.
  • Dendukuri, N., Schiller, I., Joseph, L., and Pai, M. (2012), “Bayesian Meta-Analysis of the Accuracy of a Test for Tuberculous Pleuritis in the Absence of a Gold Standard Reference,” Biometrics, 68, 1285–1293.
  • Dukic, V., and Gatsonis, C. (2003), “Meta-Analysis of Diagnostic Test Accuracy Assessment Studies with Varying Number of Thresholds,” Biometrics, 59, 936–946.
  • Gelman, A. (2006), “Prior Distributions for Variance Parameters in Hierarchical Models,” (comment on article by Browne and Draper), Bayesian Analysis, 1, 515–534.
  • Gelman, A., Meng, X.-L., and Stern, H. (1996), “Posterior Predictive Assessment of Model Fitness via Realized Discrepancies,” Statistica Sinica, 6, 733–760.
  • Gelman, A., and Rubin, D. B. (1992), “Inference from Iterative Simulation Using Multiple Sequences,” Statistical Science, 7, 457–472.
  • Harbord, R. M., Deeks, J. J., Egger, M., Whiting, P., and Sterne, J. A. (2007), “A Unification of Models for Meta-Analysis of Diagnostic Accuracy Studies,” Biostatistics, 8, 239–251.
  • Higgins, J., and Green, S. (2011), Cochrane Handbook for Systematic Reviews of Interventions Version 5.1.0 [updated March 2011], available at www.cochrane-handbook.org.
  • Higgins, J. P., White, I. R., and Wood, A. M. (2008), “Imputation Methods for Missing Outcome Data in Meta-Analysis of Clinical Trials,” Clinical Trials, 5, 225–239.
  • Higgins, J. P. T., Jackson, D., Barrett, J. K., Lu, G., Ades, A. E., and White, I. R. (2012), “Consistency and Inconsistency in Network Meta-Analysis: Concepts and Models for Multi-Arm Studies,” Research Synthesis Methods, 3, 98–110.
  • Ibrahim, J. G., and Molenberghs, G. (2009), “Missing Data Methods in Longitudinal Studies: A Review,” Test, 18, 1–43.
  • Irwig, L., Macaskill, P., Glasziou, P., and Fahey, M. (1995), “Meta-Analytic Methods for Diagnostic Test Accuracy,” Journal of Clinical Epidemiology, 48, 119–130.
  • Kang, J., Brant, R., and Ghali, W. A. (2013), “Statistical Methods for the Meta-Analysis of Diagnostic Tests Must Take into Account the Use of Surrogate Standards,” Journal of Clinical Epidemiology, 66, 566–574.
  • Kyrle, P. A., and Eichinger, S. (2005), “Deep Vein Thrombosis,” The Lancet, 365, 1163–1174.
  • Leeflang, M. M., Bossuyt, P. M., and Irwig, L. (2009), “Diagnostic Test Accuracy may Vary with Prevalence: Implications for Evidence-Based Diagnosis,” Journal of Clinical Epidemiology, 62, 5–12.
  • Li, J., Fine, J. P., and Safdar, N. (2007), “Prevalence-Dependent Diagnostic Accuracy Measures,” Statistics in Medicine, 26, 3258–3273.
  • Little, R. J. A., and Rubin, D. B. (2002), Statistical Analysis with Missing Data, (2nd ed.), Hoboken, NJ: Wiley.
  • Liu, Y., Chen, Y., and Chu, H. (2015), “A Unification of Models for Meta-Analysis of Diagnostic Accuracy Studies without a Gold Standard,” Biometrics, 71, 538–547.
  • Lu, G., and Ades, A. E. (2006), “Assessing Evidence Inconsistency in Mixed Treatment Comparisons,” Journal of the American Statistical Association, 101, 447–459.
  • Lu, G., and Ades, A. E. (2009), “Modeling Between-Trial Variance Structure in Mixed Treatment Comparisons,” Biostatistics, 10, 792–805.
  • Macaskill, P., Gatsonis, C., Deeks, J., Harbord, R., and Takwoingi, Y. (2010), “Analysing and Presenting Results”, in Handbook for Systematic Reviews of Diagnostic Test Accuracy Version 1.0, eds. J. J. Deeks, P. M. Bossuyt, C. Gatsonis, The Cochrane Collaboration, available at http://srdta.cochrane.org/.
  • Mills, E. J., Ioannidis, J. P., Thorlund, K., Schünemann, H. J., Puhan, M. A., and Guyatt, G. H. (2012), “How to use an Article Reporting a Multiple Treatment Comparison Meta-Analysis,” The Journal of the American Medical Association, 308, 1246–1253.
  • Moses, L. E., Shapiro, D., and Littenberg, B. (1993), “Combining Independent Studies of a Diagnostic Test into a Summary ROC Curve: Data-analytic Approaches and some Additional Considerations,” Statistics in Medicine, 12, 1293–1316.
  • O’Malley, A. J., and Zaslavsky, A. M. (2008), “Domain-Level Covariance Analysis for Multilevel Survey Data with Structured Nonresponse,” Journal of the American Statistical Association, 103, 1405–1418.
  • Perone, N., Bounameaux, H., and Perrier, A. (2001), “Comparison of Four Strategies for Diagnosing Deep Vein Thrombosis: A Cost-Effectiveness Analysis,” The American Journal of Medicine, 110, 33–40.
  • Piepho, H. P. (2014), “Network-Meta Analysis Made Easy: Detection of Inconsistency using Factorial Analysis-of-Variance Models,” BMC Medical Research Methodology, 14, 61.
  • Plummer, M. (2003), “JAGS: A Program for Analysis of Bayesian Graphical Models using Gibbs Sampling,” in Proceedings of the 3rd International Workshop on Distributed Statistical Computing, Vienna, Austria (Vol. 124), p. 125.
  • ——— (2016), rjags: Bayesian Graphical Models using MCMC, R Package Version 4-6, available at https://CRAN.R-project.org/package=rjags.
  • Reitsma, J. B., Glas, A. S., Rutjes, A. W. S., Scholten, R. J. P. M., Bossuyt, P. M., and Zwinderman, A. H. (2005), “Bivariate Analysis of Sensitivity and Specificity Produces Informative Summary Measures in Diagnostic Reviews,” Journal of Clinical Epidemiology, 58, 982–990.
  • Rutter, C. M., and Gatsonis, C. A. (2001), “A Hierarchical Regression Approach to Meta-Analysis of Diagnostic Test Accuracy Evaluations,” Statistics in Medicine, 20, 2865–1884.
  • Sadatsafavi, M., Shahidi, N., Marra, F., FitzGerald, M. J., Elwood, K. R., Guo, N., and Marra, C. A. (2010), “A Statistical Method was used for the Meta-Analysis of Tests for Latent TB in the Absence of a Gold Standard, Combining Random-Effect and Latent-Class Methods to Estimate Test Accuracy,” Journal of Clinical Epidemiology, 63, 257–269.
  • Scarvelis, D., and Wells, P. S. (2006), “Diagnosis and Treatment of Deep-Vein Thrombosis,” Canadian Medical Association Journal, 175, 1087–1092.
  • 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.
  • Takwoingi, Y., Leeflang, M. M., and Deeks, J. J. (2013), “Empirical Evidence of the Importance of Comparative Studies of Diagnostic Test Accuracy,” Annals of Internal Medicine, 158, 544–554.
  • Tovey, C., and Wyatt, S. (2003), “Diagnosis, Investigation, and Management of Deep Vein Thrombosis,” BMJ: British Medical Journal, 326, 1180–1184.
  • Trikalinos, T. A., Hoaglin, D. C., Small, K. M., Terrin, N., and Schmid, C. H. (2014), “Methods for the Joint Meta-Analysis of Multiple Tests,” Research Synthesis Methods, 5, 294–312.
  • Vacek, P. (1985), “The Effect of Conditional Dependence on the Evaluation of Diagnostic Tests,” Biometrics, 41, 959–968.
  • van Houwelingen, H. C., Arends, L. R., and Stijnen, T. (2002), “Advanced Methods in Meta-Analysis: Multivariate Approach and Meta-Regression,” Statistics in Medicine, 21, 589–624.
  • Walter, S. (2002), “Properties of the Summary Receiver Operating Characteristic (SROC) Curve for Diagnostic Test Data,” Statistics in Medicine, 21, 1237–1256.
  • Walter, S. D., Irwig, L., and Glasziou, P. P. (1999), “Meta-Analysis of Diagnostic Tests With Imperfect Reference Standards,” Journal of Clinical Epidemiology, 52, 943–951.
  • Wells, P. S., Anderson, D. R., Rodger, M., Forgie, M., Kearon, C., Dreyer, J., Kovacs, G., Mitchell, M., Lewandowski, B., and Kovacs, M. J. (2003), “Evaluation of D-Dimer in the Diagnosis of Suspected Deep-Vein Thrombosis,” New England Journal of Medicine, 349, 1227–1235.
  • Xu, H., and Craig, B. A. (2009), “A Probit Latent Class Model with General Correlation Structures for Evaluating Accuracy of Diagnostic Tests,” Biometrics, 65, 1145–1155.
  • Zhang, J., Carlin, B., Neaton, J., Soon, G., Nie, L., Kane, R., Virnig, B., and Chu, H. (2014), “Network Meta-Analysis of Randomized Clinical Trials: Reporting the Proper Summaries,” Clinical Trials, 11, 246–262.
  • Zhao, H., Hodges, J. S., Ma, H., Jiang, Q., and Carlin, B. P. (2016), “Hierarchical Bayesian Approaches for Detecting Inconsistency in Network Meta-Analysis,” Statistics in Medicine, 35, 3524–3536.

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