Meta-analysis of diagnostic studies based upon SROC-curves: A mixed model approach using the Lehmann family

Statistical Modelling

Volumn 12, Issue 4, 2012, Pages 347-375

  Holling, Heinz ^a   Böhning, Walailuck ^a   Böhning, Dankmar ^b  

^a UNIVERSITY OF MÜNSTER   (Germany)

^b UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

diagnostic accuracy; Lehmann family; profile and adjusted profile likelihood; proportional hazards model; SROC modelling

Indexed keywords

EID: 84864586727     PISSN: 1471082X     EISSN: 14770342     Source Type: Journal    
DOI: 10.1177/1471082X1201200403     Document Type: Article

References (48)

1. Aertgeerts FB,Buntinx F,Kester A.The value of the CAGE in screening for alcohol abuse and alcohol dependence in general clinical populations: a diagnostic meta-analysis.Journal of Clinical Epidemiology. 2003;57:30-9.
2. Aitkin MEncyclopedia of Biostatistics. Armitage PeterColton Theodore, ed. New York: Wiley; 1998:3534-36.
3. Arends LR,Hamza TH,van Houwelingen JC,Heijenbrok-Kal MH,Hunink MGM,Stijnen T.Bivariate random effects meta-analysis of ROC curves.Medical Decision Making. 2008;28:621-38.
4. Barndorff-Nielsen OE.On a formula for the distribution of the maximum likelihood estimator.Biometrika. 1983;70:343-65.
5. Böhning D,Holling H,Böhning W.Revisiting Youden's index as a useful measure of the misclassification error in meta-analysis of diagnostic studies.Statistical Methods in Medical Research. 2008;17:543-54.
6. Böhning D,Malzahn U,Dietz E,Schlattmann P,Viwatwongkasem C,Biggeri A.Some general points in estimating heterogeneity variance with the DerSimonian-Laird estimator.Biostatistics. 2002;3:445-57.
7. Cooper H,Hedges LThe handbook of research synthesis. New York: Russell Sage Foundation; 1994:.
8. Cox DR,Reid N.Parameter orthogonality and approximatic conditional inference.Journal of the Royal Statistical Society, Series B (Methodological). 1987;49:1-39.
9. Deeks JJSystematic reviews in health care: meta-analysis in context. Egger MatthiasSmith George DavyAltman Douglas G, ed. London: BMJ Books; 2007:248-82.
10. DerSimonian R,Laird N.Meta-analysis in clinical trials.Controlled Clinical Trials. 1986;7:177-88.
11. Doust JA,Glasziou PP,Pietrzak E,Dobson AJ.A system reviews of diagnostic accuracy of natriyretic peptides for heart failure.Archive of Internal Medicine. 2004;2:9.
12. Edwards JH.Some taxonomic implications of a curious feature of the bivariate normal surface.British Journal of Prevention and Social Medicine. 1966;164:1978-84.
13. Egger M,Smith GD,Altman DGSystematic reviews in health care: Meta-analysis in context. London: BMJ Publishing Group; 2001:.
14. Glas AS,Lijmer JG,Prins MH,Bonsel GJ,Bossuyt PMM.The diagnostic odds ratio: a single indicator of test performance.Journal of Clinical Epidemiology. 2003;56:1129-35.
15. Gönen M,Heller G.Lehmann family of ROC curves.Medical Decision Making. 2010;30:509-17.
16. Hamza TH,Arends LR,Houwelingen H,Stijnen T.Multivariate random effects meta-analysis of diagnostic tests with multiple thresholds.BMC Medical Research Methodology. 2009;9:73.
17. Harbord RM,Deeks JJ,Egger M,Whiting P,Sterne JAC.A unification of models for meta-analysis of diagnostic accuracy studies.Biostatistics. 2007;1:1-21.
18. Hasselblad V,Hedges LV.Meta-analysis of screening and diagnostic tests.Psychological Bulletin. 1995;117:167-78.
19. Hedges LV,Olkin IStatistical methods for meta-analysis. New York: Academic Press; 1985:.
20. Irwig L,Macaskill P,Glasziou P,Fahey M.Meta-analytic methods for diagnostic test accuracy.Journal of Clinical Epidemiology. 1995;48:119-30.
21. Jones CM,Athanasiou T.Summary receiver operating characteristic curve analysis techniques in the evaluation of diagnostic tests.Annals of Thoracic Surgery. 2005;79:16-20.
22. Kriston L,Hölzel L,Weiser A,Berner MB,Härter M.Meta-analysis: are 3 questions enough to detect unhealthy alcohol use?.Annals Internal Medicine. 2008;149:879-88.
23. Krzanowski WJ,Hand DJROC curves for continuous data. Boca Raton (FL): CRC Press Taylor & Francis Group, Chapman & Hall; 2009:.
24. Le CT.A solution for the most basic optimization problem associated with an ROC curve.Statistical Methods in Medical Research. 2006;15:571-84.
25. Lee Y,Nelder JA,Pawitan YGeneralized linear models with random effects unified analysis via H-likelihood. Boca Raton (FL): Chapman & Hall/CRC Taylor & Francis Group; 2006:.
26. Littenberg B,Moses LE.Estimating diagnostic accuracy from multiple conflicting reports: a new meta-analytic method.Medical Decision Making. 1993;13:313-21.
27. Malzahn U,Böhning D,Holling H.Nonparametric estimation of heterogeneity variance for the standardised difference used in meta-analysis.Biometrika. 2000;87:619-32.
28. Mclachlan G,Krishnan TThe EM algorithm and extensions. New York: Wiley; 1997:.
29. Midgette AS,Stukel TA,Littenberg B.A meta-analytic method for summarizing diagnostic test performances: receiver-operating-characteristic-summary point estimates.Medical Decision Making. 1993;13:253-57.
30. Mitchell AJ.A meta-analysis of the accuracy of the mini-mental state examination in the detection of dementia and mild cognitive impairment.Journal of Psychiatric Research. 2009;43:411-31.
31. Moses LE,Shapiro D,Littenberg B.Combining independent studies of a diagnostic test into a summary ROC curve: data-analytic approaches and some additional considerations.Statistics in Medicine. 1993;12:1293-316.
32. Murphy SA,Van der Vaart AW.On profile likelihood.Journal of the American Statistical Association. 2000;95:449-85.
33. Patefield WM.On the maximized likelihood function.Sankhya, Series B. 1977;39:92-96.
34. Pepe MS.Receiver operating characteristic methodology.Journal of the American Statistical Association. 2000;95:308-11.
35. Pepe MSOxford: Oxford University Press; 2003:.
36. Reinert DF,Allen JP.The alcohol use disorders identification test (AUDIT): a review or recent research.Alcohol: Clinical and Experimental Research. 2002;26:272-79.
37. Reitsma JB,Glas AS,Rutjes AWS,Scholten RJPM,Bossuyt PM,Zwinderman AH.Bivariate analysis of sensitivity and specificity produces informative measures in diagnostic reviews.Journal of Clinical Epidemiology. 2005;58:982-90.
38. Ross SIntroduction to probability models. Orlando: Academic Press; 1985:.
39. Rücker G,Schumacher M.Letter to the editor.Biostatistics. 2009;10:806-7.
40. Rücker G,Schumacher M.Summary ROC curve based on a weighted Youden index for selecting an optimal cutpoint in meta-analysis of diagnostic accuracy.Statistics in Medicine. 2010;29:3069-78.
41. Rutter CM,Gatsonis CA.A hierarchical regression approach to meta-analysis of diagnostic test accuracy evaluations.Statistics in Medicine. 2001;20:2865-84.
42. Meta-analysis. New developments and applications in medical and social sciences. Schulze RHolling HBöhning D, ed. Göttingen: Hogrefe & Huber; 2003:.
43. Stephens MAEncyclopedia of Statistical Sciences. New York: Wiley; 2006:.
44. Sutton AJ,Abrams KR,Jones DR,Sheldon TA,Song FMethods for meta-analysis in medical research. New York: Wiley; 2000:.
45. Swets JANew York: Psychology Press, Taylor & Francis Group; 1996:.
46. Van Houwelingen HC,Zwinderman KH,Stijnen T.A bivariate approach to meta-analysis.Statistics in Medicine. 1993;12:2273-84.
47. Walter SD,Macaskill PEncyclopedia of biopharmaceutical statistics. Chow Shein-Chung, ed. New York: Marcel Dekker; 2004:.
48. Youden D.Index for rating diagnostic tests.Cancer. 1950;3:32-5.