The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
Linear Combinations of Multiple Diagnostic Markers
Abstract
The receiver operating characteristic (ROC) curve is a simple and meaningful measure to assess the usefulness of diagnostic markers. To use the information carried by multiple markers, we note that Fisher's linear discriminant function provides a linear combination of markers to maximize the sensitivity over the entire specificity range uniformly under the multivariate normal distribution model with proportional covariance matrices. With no restriction on covariance matrices, we also provide a solution of the best linear combination of markers in the sense that the area under the ROC curve of this combination is maximized among all possible linear combinations. We illustrate both situations discussed in the article with a cancer clinical trial data.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
DeLong, E. R., DeLong, D. M., & Clarke-Pearson, D. L. (1988) · Biometrics · doi:10.2307/2531595 · Cited by 22,649
The meaning and use of the area under a receiver operating characteristic (ROC) curve.
Hanley, J. A., & McNeil, B. J. (1982) · Radiology · doi:10.1148/radiology.143.1.7063747 · Cited by 21,856
THE USE OF MULTIPLE MEASUREMENTS IN TAXONOMIC PROBLEMS
FISHER, R. A. (1936) · Annals of Eugenics · doi:10.1111/j.1469-1809.1936.tb02137.x · Cited by 15,227
Hanley, J. A., & McNeil, B. J. (1983) · Radiology · doi:10.1148/radiology.148.3.6878708 · Cited by 7,016
(2016) · Time Series with Mixed Spectra · doi:10.1201/b15154-8 · Cited by 2,739
(2008) · The Concise Encyclopedia of Statistics · doi:10.1007/978-0-387-32833-1_5 · Cited by 2,670
Bamber, D. (1975) · Journal of Mathematical Psychology · doi:10.1016/0022-2496(75)90001-2 · Cited by 1,439
Lachenbruch, P. A. (2004) · Encyclopedia of Statistical Sciences · doi:10.1002/0471667196.ess0507 · Cited by 1,310
(1982) · Cited by 1,288
Wetherill, G. B., & Seber, G. A. F. (1977) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2345290 · Cited by 1,047
Cited by
Pencina, M. J., D'Agostino, R. B., & Demler, O. V. (2012) · Statistics in Medicine · doi:10.1002/sim.4348 · Cited by 349
Misuse of DeLong test to compare AUCs for nested models
Demler, O. V., Pencina, M. J., & D'Agostino, R. B. (2012) · Statistics in Medicine · doi:10.1002/sim.5328 · Cited by 306
Liu, Z., & Lin, X. (2019) · Journal of the American Statistical Association · doi:10.1080/01621459.2018.1513363 · Cited by 36
A Game Changer for Bipolar Disorder Diagnosis Using RNA Editing-Based Biomarkers
Salvetat, N., Checa-Robles, F. J., Patel, V., Cayzac, C., Dubuc, B., Chimienti, F., Abraham, J.-D., Dupré, P., Vetter, D., Méreuze, S., et al. (2022) · Translational Psychiatry · doi:10.1038/s41398-022-01938-6 · Cited by 31
Calibration of medical diagnostic classifier scores to the probability of disease
Chen, W., Sahiner, B., Samuelson, F., Pezeshk, A., & Petrick, N. (2018) · Statistical Methods in Medical Research · doi:10.1177/0962280216661371 · Cited by 29
Metadata
- Authors
- Su, J. Q., & Liu, J. S.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1993-12
- Volume
- 88
- Issue
- 424
- Pages
- 1350-1355
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2048390639
- Cited by
- 278
- References
- 19
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Linear Combinations of Multiple Diagnostic Markers. https://app.cochat.ai/papers/10.1080/01621459.1993.10476417
- The paper
- Su, J. Q., & Liu, J. S. (1993). Linear Combinations of Multiple Diagnostic Markers. Journal of the American Statistical Association. https://doi.org/10.1080/01621459.1993.10476417
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.