The DOI matches its Crossref record.
The Power of Rank Tests
Open accessAbstract
Simple nonparametric classes of alternatives are defined for various nonparametric hypotheses. The power of a number of such tests against these alternatives is obtained and illustrated with some numerical results. Optimum rank tests against certain types of alternatives are derived, and optimum properties of Wilcoxon's one- and two-sample tests and of the rank correlation test for independence are proved.
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
Cited by
Regression Models and Life-Tables
Cox, D. R. (1972) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1972.tb00899.x · Cited by 39,793
Regression Models and Life-Tables
Cox, D. R. (1992) · Springer Series in Statistics · doi:10.1007/978-1-4612-4380-9_37 · Cited by 26,297
Anderson, T. W., & Darling, D. A. (1954) · Journal of the American Statistical Association · doi:10.1080/01621459.1954.10501232 · Cited by 2,450
On the Asymptotic Efficiency of Certain Nonparametric Two-Sample Tests
Mood, A. M. (1954) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177728719 · Cited by 406
Metadata
- Authors
- Lehmann, E. L.
- Venue
- The Annals of Mathematical Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1953-03
- Volume
- 24
- Issue
- 1
- Pages
- 23-43
- ISSN
- 0003-4851 (ISSN-L)
- OpenAlex
- W2042761726
- Cited by
- 495
- References
- 0
- FWCI
- 7.81
- Type
- journal article
- Language
- en
- Open access
- bronze
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: The Power of Rank Tests. https://app.cochat.ai/papers/10.1214/aoms/1177729080
- The paper
- Lehmann, E. L. (1953). The Power of Rank Tests. The Annals of Mathematical Statistics. https://doi.org/10.1214/aoms/1177729080
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.
