The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
On the Asymptotic Efficiency of Certain Nonparametric Two-Sample Tests
Open accessAbstract
In this paper the following asymptotic efficiencies are computed for the given two-sample tests against normal alternatives to the null hypothesis: $\text{rank test for location}\ldots\ldots\ldots\ldots 3/\pi \cong 95{\tt\%}$ $\text{median test for location}\ldots\ldots\ldots\ldots 2/\pi \cong 64{\tt\%}$ $\text{run test for location}\ldots\ldots\ldots \ldots 0$ $\text{run test for dispersion}\ldots\ldots\ldots\ldots 0$ $\text{square rank test for dispersion}\ldots\ldots\ldots\ldots 15/2\pi^2 \cong 76{\tt\%}$ Also, general expressions for means and variances of some of these test criteria are found for distributions alternative to the null hypothesis.
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Citations
Cites
Individual Comparisons by Ranking Methods
Wilcoxon, F. (1945) · Biometrics Bulletin · doi:10.2307/3001968 · Cited by 15,354
On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other
Mann, H. B., & Whitney, D. R. (1947) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177730491 · Cited by 14,320
A Class of Statistics with Asymptotically Normal Distribution
Hoeffding, W. (1992) · Springer Series in Statistics · doi:10.1007/978-1-4612-0919-5_20 · Cited by 1,851
On a Test Whether Two Samples are from the Same Population
Wald, A., & Wolfowitz, J. (1940) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177731909 · Cited by 912
Lehmann, E. L. (1953) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177729080 · Cited by 495
Consistency and Unbiasedness of Certain Nonparametric Tests
Lehmann, E. L. (1951) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177729639 · Cited by 394
The Large-Sample Power of Tests Based on Permutations of Observations
Hoeffding, W. (1952) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177729436 · Cited by 365
On Median Tests for Linear Hypotheses
Brown, G. W., & Mood, A. M. (1951) · Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability · doi:10.1525/9780520411586-013 · Cited by 178
Self-citationAsymptotic Behavior of Some Rank Tests for Analysis of Variance
Andrews, F. C. (1954) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177728658 · Cited by 86
Cochran, W. G. (1937) · Journal Of The Royal Statistical Society · doi:10.2307/2980283 · Cited by 74
Cited by
The Efficiency of Some Nonparametric Competitors of the $t$-Test
Hodges, J. L., & Lehmann, E. L. (1956) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177728261 · Cited by 587
Burned forests impact water supplies
Hallema, D. W., Sun, G., Caldwell, P. V., Norman, S. P., Cohen, E. C., Liu, Y., Bladon, K. D., & McNulty, S. G. (2018) · Nature Communications · doi:10.1038/s41467-018-03735-6 · Cited by 193
Hallema, D. W., Sun, G., Caldwell, P. V., Norman, S. P., Cohen, E. C., Liu, Y., Ward, E. J., & McNulty, S. G. (2017) · Ecohydrology · doi:10.1002/eco.1794 · Cited by 58
Academia-Industry Linkages for Sustainable Innovation in Agriculture Higher Education in India
Soam, S. K., Subbanna, Y. B., Rathore, S., Sumanth Kumar, V. V., Kumar, S., Vinayagam, S. S., Rakesh, S., Balasani, R., Raju, D. T., Kumar, A., et al. (2023) · Sustainability · doi:10.3390/su152316450 · Cited by 16
Metadata
- Authors
- Mood, A. M.
- Venue
- The Annals of Mathematical Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1954-09
- Volume
- 25
- Issue
- 3
- Pages
- 514-522
- ISSN
- 0003-4851 (ISSN-L)
- OpenAlex
- W2016665082
- Cited by
- 406
- References
- 11
- FWCI
- 10.18
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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