Bivariate hierarchical model for the Meta-analysis of diagnostic tests in studies with binary responses:

its application from SAS and R

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-2020-05-0083

Keywords:

Sensitivity, Specificity, Diagnostic accuracy, Random effects, Bivariate approach

Abstract

Studies on the precision of diagnostic tests usually report the number of true positives, false positives, true negatives, and false negatives. There is generally a negative association between the number of true positives and true negatives, as studies that adopt less strict criteria to declare a test as positive need higher sensitivities and lower specificities. Given this particularity, the bivariate nature of the data must be preserved, by modeling sensitivity and specificity together. In this paper, we will use the bivariate hierarchical model applied to a meta-analysis data set which was an update to a previous systematic review of diagnostic tests for chronic Chagas disease. Our modeling framework was implemented with SAS NLMIXED procedure, making it possible to obtain summary measures for sensitivity and specificity, with values of 0.725 and 0.995, respectively, out of a total of 35 studies with 6057 patients. 

Author Biographies

Sergio Alex Bauz-Olvera, Escuela Superior Polit´ecnica del Litoral.

Facultad de Ciencias de la Vida.

Johny Javier Pambabay-Calero, Escuela Superior Politécnica del Litoral.

Facultad de Ciencias Naturales y Matem´aticas.

Ana Belén Nieto-Librero, Universidad de Salamanca.

Dept. de Estadística, Facultad de Medicina.

María Purificación Galindo-Villardón, Universidad de Salamanca.

Dept. de Estadística, Facultad de Medicina.

References

J. B. Reitsma, A. S. Glas, A. W. S. Rutjes, R. J. P. M. Scholten, P. M. Bossuyt, and A. H. Zwinderman, “Bivariate analysis of sensitivity and specificity produces informative summary measures in diagnostic reviews”, Journal of clinical epidemiology, vol. 58, no. 10, pp. 982–990, 2005, doi: 10.1016/j.jclinepi.2005.02.022

C. M. Rutter and C. A. Gatsonis, “A hierarchical regression approach to meta-analysis of diagnostic test accuracy evaluations”, Statistics in medicine, vol. 20, no. 19, pp. 2865–2884, 2001, doi: 10.1002/sim.942

M. M. G. Leeflang, “Systematic reviews of diagnostic test accuracy”, Annals of internal medicine, vol. 149, no. 12, p. 889, Dec. 2008, doi: 10.7326/0003-4819-149-12-200812160-00008

J. Menke, “Bivariate random-effects meta-analysis of sensitivity and specificity with SAS PROC GLIMMIX”, Methods of information in medicine, vol. 49, no. 01, pp. 54–64, 2010, doi: 10.3414/me09-01-0001

P. Doebler and H. Holling, “Meta-analysis of diagnostic accuracy with mada”, R Packag, vol. 1, p. 15, 2015. [On line]. Available: https://bit.ly/36agmQy

P. E. Brasil, L. D. Castro, A. M. Hasslocher-Moreno, L. H. Sangenis, and J. U. Braga, “ELISA versus PCR for diagnosis of chronic Chagas disease: systematic review and meta-analysis”, BMC Infectious Diseases, vol. 10, no. 1, Nov. 2010, doi: 10.1186/1471-2334-10-337

P. E. Brasil, R. Castro, and L. D. Castro, “Commercial enzyme-linked immunosorbent assay versuspolymerase chain reaction for the diagnosis of chronic Chagas disease: a systematic review and meta-analysis”, Memórias do Instituto Oswaldo Cruz, vol. 111, no. 1, pp. 1–19, Jan. 2016, doi: 10.1590/0074-02760150296

C. Morel, “Faculty opinions recommendation of International study to evaluate PCR methods for detection of Trypanosoma cruzi DNA in blood samples from Chagas disease patients”, Faculty Opinions – post-publication peer review of the biomedical literature, Jan. 2011, doi: 10.3410/f.7957957.8322055

L. E. Moses, D. Shapiro, and B. Littenberg, “Combining independent studies of a diagnostic test into a summary roc curve: Data-analytic approaches and some additional considerations”, Statistics in medicine, vol. 12, no. 14, pp. 1293–1316, Jul. 1993, doi: 10.1002/sim.4780121403

H. C. V. Houwelingen, L. R. Arends, and T. Stijnen, “Advanced methods in meta-analysis: multivariate approach and meta-regression”, Statistics in medicine, vol. 21, no. 4, pp. 589–624, 2002, doi: 10.1002/sim.1040

J. J. Deeks, “Systematic reviews in health care: Systematic reviews of evaluations of diagnostic and screening tests”, BMJ, vol. 323, no. 7305, pp. 157–162, Jul. 2001, doi: 10.1136/bmj.323.7305.157

R. Dersimonian and N. Laird, “Meta-analysis in clinical trials”, Controlled clinical trials, vol. 7, no. 3, pp. 177–188, Sep. 1986, doi: 10.1016/0197-2456(86)90046-2

J. P. T. Higgins and S. G. Thompson, “Quantifying heterogeneity in a meta-analysis”, Statistics in medicine, vol. 21, no. 11, pp. 1539–1558, 2002, doi: 10.1002/sim.1186

M. Leeflang, J. J. Deeks, Y. Takwoingi, and P. Macaskill, “Cochrane diagnostic test accuracy reviews”, Systematic reviews, vol. 2, no. 1, Oct. 2013, doi: 10.1186/2046-4053-2-82

J. P. T. Higgins, “Measuring inconsistency in meta-analyses”, BMJ, vol. 327, no. 7414, pp. 557–560, Sep. 2003, doi: 10.1136/bmj.327.7414.557

T. A. Trikalinos, C. M. Balion, C. I. Coleman, L. Griffith, P. L. Santaguida, B. Vandermeer, and R. Fu, “Chapter 8: Meta-analysis of test performance when there is a ‘Gold Standard’”, Journal of general internal medicine, vol. 27, no. S1, pp. 56–66, May 2012, doi: 10.1007/s11606-012-2029-1

J. J. Pambabay-Calero, S. A. Bauz-Olvera, A. B. Nieto-Librero, M. P. Galindo-Villardón, and S. Hernández-González, “An alternative to the cochran-(q) statistic for analysis of heterogeneity in meta-analysis of diagnostic tests based on hj biplot”, Investigación operacional, vol. 39, no. 4, pp. 536–544, 2018. [On line]. Available: https://bit.ly/3j8U3Ot

P. Doebler, H. Holling, and D. Böhning, “A mixed model approach to meta-analysis of diagnostic studies with binary test outcome”, Psychological methods, vol. 17, no. 3, pp. 418–436, Sep. 2012, doi: 10.1037/a0028091

R. M. Harbord, J. J. Deeks, M. Egger, P. Whiting, and J. A. C. Sterne, “A unification of models for meta-analysis of diagnostic accuracy studies”, Biostatistics, vol. 8, no. 2, pp. 239–251, May 2006, doi: 10.1093/biostatistics/kxl004

R. M. Harbord and P. Whiting, “Metandi: meta-analysis of diagnostic accuracy using hierarchical logistic regression”, The Stata journal: promoting communications on statistics and Stata, vol. 9, no. 2, pp. 211–229, Aug. 2009., doi: 10.1177/1536867x0900900203

P. Macaskill, “Empirical Bayes estimates generated in a hierarchical summary ROC analysis agreed closely with those of a full Bayesian analysis”, Journal of clinical epidemiology, vol. 57, no. 9, pp. 925–932, Sep. 2004, doi: 10.1016/j.jclinepi.2003.12.019

A. F. Carvalho, Y. Takwoingi, P. M. G. Sales, J. K. Soczynska, C. A. Köhler, T. H. Freitas, J. Quevedo, T. N. Hyphantis, R. S. Mcintyre, and E. Vieta, “Screening for bipolar spectrum disorders: a comprehensive meta-analysis of accuracy studies”, Journal of affective disorders, vol. 172, pp. 337–346, Feb. 2015, doi: 10.1016/j.jad.2014.10.024

M. M. Leeflang, J. J. Deeks, Y. Takwoingi, and P. Macaskill, “Cochrane diagnostic test accuracy reviews”, Systematic reviews, vol. 2, no. 1, Oct. 2013, doi: 10.1186/2046-4053-2-82

S. A. Bauz-Olvera, J. J. Pambabay-Calero, A. B. Nieto-Librero, and M. P. Galindo-Villardón, “Meta-analysis in dta with hierarchical models Bivariate and HSROC: Simulation study”, Springer proceedings in mathematics & statistics selected contributions on statistics and data science in Latin America, pp. 33–42, 2019, doi: 10.1007/978-3-030-31551-1_3

Published

2020-10-01

How to Cite

[1]
S. A. Bauz-Olvera, J. J. Pambabay-Calero, A. B. Nieto-Librero, and M. P. Galindo-Villardón, “Bivariate hierarchical model for the Meta-analysis of diagnostic tests in studies with binary responses: : its application from SAS and R”, Proyecciones (Antofagasta, On line), vol. 39, no. 5, pp. 1365-1380, Oct. 2020.

Issue

Section

Artículos

Most read articles by the same author(s)