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Published Online:https://doi.org/10.1027/0044-3409.215.2.122

Abstract. This paper considers meta-analysis of binary data that use a dichotomized continuous score. Classification into two categories, e.g., qualified or not qualified, is often based upon a threshold or cut-off value. This threshold might vary between studies since intentionally different values are used. However, conventional meta-analysis methodology analyzing sensitivity and specificity separately might then be confounded by a potentially unknown variation of the cut-off value. In order to cope with varying thresholds, an overall estimate of the misclassification error is suggested instead, which is equivalent to the well-known Youden index. It is argued that this index is less prone to between-study variation of cut-off values. To adjust for potential study effects a Mantel-Haenszel estimator of the overall misclassification error is suggested. Arguments are illustrated using, as an example, the diagnosis of alcoholism using the Alcohol Use Disorders Identification Test (AUDIT).

References marked with an asterisk (*) indicate studies included in the meta-analysis (see Table 2).

References

  • Babor, T.F. , de la Fuente, J.R. , Saunders, J. , Grant, M. (1989). International perspectives. From clinical research to secondary prevention: International collaboration in the development of the Alcohol Use Disorders Identification Test (AUDIT). Alcohol Health and Research World, 13, 371– 374 . First citation in articleGoogle Scholar

  • Berner, M.M. , Kriston, L. , Bentele, M. , Härter, M. (2007). The Alcohol Use Disorders Identification Test for detecting at-risk drinking: A systematic review and meta-analysis. Journal of Studies on Alcohol and Drugs, 68, 1– 13 . First citation in articleCrossrefGoogle Scholar

  • *Bradley, K.A. , Bush, K.R. , McDonell, M.B. , Malone, T. , Fihn, S.D. (1998). For the Ambulatory Care Quality Improvement Project (ACQUIP). Screening for problem drinking: Comparison of CAGE and AUDIT. Journal of General Internal Medicine, 13, 379– 388 . First citation in articleCrossrefGoogle Scholar

  • *Contel, M. , Gual, A. , Colom, J. (1999). Alcohol Use Disorders Identification Test (AUDIT): Translation and validation to Catalan and Spanish (Spanish). Adicciones, 11, 337– 347 . First citation in articleGoogle Scholar

  • Cooper, H. , Hedges, L. Eds. (1994). The handbook of research synthesis . New York: Russell Sage Foundation . First citation in articleGoogle Scholar

  • Cruciani, M. , Marcati, P. , Malena, M. , Bosco, O. , Serpelloni, G. , Mengoli, C. (2002). Meta-analysis of diagnostic procedures for pneumocystis carninii pneumonia in HIV-1-infected patients. European Respiratory Journal, 20, 982– 989 . First citation in articleCrossrefGoogle Scholar

  • *Daeppen, J.-B. , Yersin, B. , Landry, U. , Pecoud, A. , Decrey, H. (2000). Reliability and validity of the Alcohol Use Disorders Identification Test (AUDIT) imbedded within a general health risk screening questionnaire: Results of a survey in 332 primary care patients. Alcoholism: Clinical and Experimental Research, 24, 659– 665 . First citation in articleCrossrefGoogle Scholar

  • DerSimonian, R. , Laird, N. (1986). Meta-analysis in clinical trials. Controlled Clinical Trials, 7, 177– 188 . First citation in articleCrossrefGoogle Scholar

  • Deville, W.L. , Buntinx, F. , Bouter, L.M. , Montori, V.M. , de Vet, H.C.W. , van der Windt, D.A.W.M. , et al. (2002). Conducting systematic reviews of diagnostic studies: Didactic guidelines. BMC Medical Research Methodology, 2, 9– First citation in articleCrossrefGoogle Scholar

  • Dukic, V. , Gatsonis, C. (2003). Meta-analysis of diagnostic test accuracy assessment studies with varying number of thresholds. Biometrics, 59, 936– 946 . First citation in articleCrossrefGoogle Scholar

  • Edwards, J.H. (1966). Some taxonomic implications of a curious feature of the bivariate normal surface. British Journal of Prevention and Social Medicine, 20, 42– First citation in articleGoogle Scholar

  • *Gómez, A. , Conde, M. , Aguiar, J.A. , Santana, J.M. , Jorrin, A. , Betancor, P. (2001). Diagnostic usefulness of Alcohol Use Disorders Identification Test (AUDIT) for detecting hazardous alcohol consumption in primary care settings (Spanish). Medicina Clínica, 116, 121– 124 . First citation in articleCrossrefGoogle Scholar

  • *Gordon, A.J. , Maisto, S.A. , McNeil, M. , Kraemer, K.L. , Conigliaro, R.L. , Kelley, M.E. , et al. (2001). Three questions can detect hazardous drinkers. Journal of Family Practice, 50, 313– 320 . First citation in articleGoogle Scholar

  • Greiner, M. (2003). Serodiagnostische Tests . [Serodiagnostic tests]. Berlin: Springer-Verlag . First citation in articleGoogle Scholar

  • *Gual, A. , Segura, L. , Contel, M. , Heather, N. , Colom, J. (2002). AUDIT-3 and AUDIT-4: Effectiveness of two short forms of the Alcohol Use Disorders Identification Test. Alcohol and Alcoholism, 37, 591– 596 . First citation in articleCrossrefGoogle Scholar

  • Haddock, K.C. , Rindskopf, D. , Shadish, W.R. Jr. (1998). Using odds ratios as effect sizes for meta-analysis of dichotomous data: A primer on methods and issues. Psychological Methods, 3, 339– 353 . First citation in articleCrossrefGoogle Scholar

  • Harbord, R.M. , Deeks, J.J. , Egger, M. , Whiting, P. , Sterne, J.A.C. (2007). A unification of models for meta-analysis of diagnostic accuracy studies. Biostatistics, 8, 239– 251 . First citation in articleCrossrefGoogle Scholar

  • Hasselblad, V. , Hedges, L.V. (1995). Meta-analysis of screening and diagnostic tests. Psychological Bulletin, 117, 167– 178 . First citation in articleCrossrefGoogle Scholar

  • Higgins, J.P. , Thompson, S.G. , Deeks, J.J. , Altmann, D.G. (2003). Measuring inconsistency in meta-analyses. British Medical Journal, 327, 557– 560 . First citation in articleCrossrefGoogle Scholar

  • *Hiro, H. , Shima, S. (1996). Availability of the Alcohol Use Disorders Identification Test (AUDIT) for a complete health examination in Japan. Japanese Journal of Alcoholism. Studies and Drug Dependence, 31, 437– 450 . First citation in articleGoogle Scholar

  • Hunter, J.E. , Schmidt, F.L. (2004). Methods of meta-analysis: Correcting error and bias in research findings (2nd ed.). Thousand Oaks, CA: Sage . First citation in articleGoogle Scholar

  • Irwig, L. , Tosteson, A.N. , Gatsonis, C. , Lau, J. , Colditz, G. , Chalmers, T.C. , et al. (1994). Guidelines for meta-analyses evaluating diagnostic tests. Annals of Internal Medicine, 120, 667– 676 . First citation in articleCrossrefGoogle Scholar

  • Irwig, L. , Macaskill, P. , Glasziou, P. , Fahey, M. (1995). Meta-analytic methods for diagnostic test accuracy. Journal of Clinical Epidemiology, 48, 119– 130 . First citation in articleCrossrefGoogle Scholar

  • *Kokotailo, P.K. , Egan, J. , Gangnon, R. , Brown, D. , Mundt, M. , Fleming, M. (2004). Validity of the Alcohol Use Disorders Identification Test in college students. Alcoholism: Clinical and Experimental Research, 28, 914– 920 . First citation in articleCrossrefGoogle Scholar

  • Lijmer, J.G. , Bossuyt, P.M.M. , Heisterkamp, S.H. (2002). Exploring sources of heterogeneity in systematic reviews of diagnostic tests. Statistics in Medicine, 21, 1525– 1537 . First citation in articleCrossrefGoogle Scholar

  • *MacKenzie, D. , Langa, A. , Brown, T.M. (1996). Identifying hazardous or harmful alcohol use in medical admissions: A comparison of AUDIT, CAGE and brief MAST. Alcohol and Alcoholism, 31, 591– 599 . First citation in articleCrossrefGoogle Scholar

  • McCullagh, P. (1980). Regression models for ordinal data. Journal of the Royal Statistical Society, Series B, 42, 109– 142 . First citation in articleGoogle Scholar

  • Midgette, A.S. , Stukel, T.A. , Littenberg, B. (1993). A meta-analytic method for summarizing diagnostic test performances: Receiver-operating-characteristic-summary point estimates. Medical Decision Making, 13, 253– 257 . First citation in articleCrossrefGoogle Scholar

  • *Neumann, T. , Neuner, B. , Gentilello, L.M. , Weiss-Gerlach, E. , Mentz, H. , Rettig, J.S. (2004). Gender differences in the performance of a computerized version of the Alcohol Use Disorders Identification Test in subcritically injured patients who are admitted to the emergency department. Alcoholism: Clinical and Experimental Research, 28, 1693– 1701 . First citation in articleCrossrefGoogle Scholar

  • Pepe, M.S. (2000). Receiver operating characteristic methodology. Journal of the American Statistical Association, 95, 308– 311 . First citation in articleCrossrefGoogle Scholar

  • *Philpot, M. , Pearson, N. , Petratou, V. , Dayanandan, R. , Silverman, M. , Marshall, J. (2003). Screening for problem drinking in older people referred to a mental health service: A comparison of CAGE and AUDIT. Aging and Mental Health, 7, 171– 175 . First citation in articleCrossrefGoogle Scholar

  • *Piccinelli, M. , Tessari, E. , Bortolomasi, M. , Piasere, O. , Semenzi, M. , Garzotto, N. , et al. (1997). Efficacy of the Alcohol Use Disorders Identification Test as a screening tool for hazardous alcohol intake and related disorders in primary care: A validity study. British Medical Journal, 314, 420– 424 . First citation in articleCrossrefGoogle Scholar

  • Reitsma, J.B. , Glas, A.S. , Rutjes, A.W.S. , Scholten, R.J.P.M. , Bossuyt, P.M. , Zwinderman, A.H. (2005). Bivariate analysis of sensitivity and specificity produces informative measures in diagnostic reviews. Journal of Clinical Epidemiology, 58, 982– 990 . First citation in articleCrossrefGoogle Scholar

  • *Rumpf, H.J. , Hapke, U. , Meyer, C. , John, U. (2002). Screening for alcohol use disorders and at-risk drinking in the general population: Psychometric performance of three questionnaires. Alcohol and Alcoholism, 37, 261– 268 . First citation in articleCrossrefGoogle Scholar

  • Rutter, C.M. , Gatsonis, C.A. (2001). A hierarchical regression approach to meta-analysis of diagnostic test accuracy evaluations. Statistics in Medicine, 20, 2865– 2884 . First citation in articleCrossrefGoogle Scholar

  • Sánchez-Meca, J. , Marín-Martínez, F. , Chacón-Moscoso, S. (2003). Effect-size indices for dichotomized outcomes in meta-analysis. Psychological Methods, 8, 448– 467 . First citation in articleCrossrefGoogle Scholar

  • Schulze, R. , Holling, H. , Böhning, D. Eds. (2003). Meta-analysis. New developments and applications in medical and social sciences . Seattle, WA: Hogrefe & Huber . First citation in articleGoogle Scholar

  • Shields, A.L. , Caruso, J.C. (2003). Reliability generalization of the Alcohol Use Disorders Identification Test. Educational and Psychological Measurement, 63, 404– 413 . First citation in articleCrossrefGoogle Scholar

  • *Skipsey, K. , Burleson, J.A. , Kranzler, H.R. (1997). Utility of the AUDIT for identification of hazardous or harmful drinking in drug-dependent patients. Drug and Alcohol Dependence, 45, 157– 163 . First citation in articleCrossrefGoogle Scholar

  • Sutton, A.J. , Abrams, K.R. , Jones, D.R. , Sheldon, T.A. , Song, F. (2000). Methods for meta-analysis in medical research . New York: Wiley . First citation in articleGoogle Scholar

  • *Taj, N. , Devera-Sales, A. , Vinson, D.C. (1998). Screening for problem drinking: Does a single question work?. Journal of Family Practice, 46, 328– 335 . First citation in articleGoogle Scholar

  • Tosteson, A. , Begg, C. (1988). A general regression methodology for ROC curve estimation. Medical Decision Making, 8, 204– 215 . First citation in articleCrossrefGoogle Scholar

  • Van Houwelingen, H.C. , Zwinderman, K.H. , Stijnen, T. (1993). A bivariate approach to meta-analysis. Statistics in Medicine, 12, 2273– 2284 . First citation in articleCrossrefGoogle Scholar

  • Youden, D. (1950). Index for rating diagnostic tests. Cancer, 3, 32– 35 . First citation in articleCrossrefGoogle Scholar

  • Zou, K. , Hall, W. , Shapiro, D. (1997). Smooth nonparametric ROC curves for continuous diagnostic tests. Statistics in Medicine, 16, 2143– 2156 . First citation in articleCrossrefGoogle Scholar