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Probability Tables for Individual Comparisons by Ranking Methods
Abstract
In previous papers [3] [4] a ranking method has been described for the rapid approximate determination of the significance of differences between two treatments, when the experimental data consists of unpaired replications, paired replications, or replications occurring in two or more groups. Brief tables were given which furnished the rank totals for the 0.05%o, 0.02% and 0.01% level of significance. These tables were prepared by making use of certain properties of the partitions of numbers, but the method becomes impractical with larger numbers of replicates. A recent paper by Mann and Whitney [1] describes a similar test and gives probability tables covering the range from 3 to 8 replicates per treatment, including the case of unequal numbers of unpaired replicates under the two treatments. These authors tabulated the probabilities against the serial number of possible rank totals, 0-1-2 .... U, instead of the rank total itself. Their tables give probabilities for one tail of the distribution only.
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Citations
Cites
Individual Comparisons by Ranking Methods
Wilcoxon, F. (1945) · Biometrics Bulletin · doi:10.2307/3001968 · Cited by 15,354
Self-citation
Cited by
Use of Ranks in One-Criterion Variance Analysis
Kruskal, W. H., & Wallis, W. A. (1952) · Journal of the American Statistical Association · doi:10.1080/01621459.1952.10483441 · Cited by 13,912
Andexanet Alfa for the Reversal of Factor Xa Inhibitor Activity
Siegal, D. M., Curnutte, J. T., Connolly, S. J., Lu, G., Conley, P. B., Wiens, B. L., Mathur, V. S., Castillo, J., Bronson, M. D., Leeds, J. M., et al. (2015) · New England Journal of Medicine · doi:10.1056/nejmoa1510991 · Cited by 1,047
Tate, R. L., Perdices, M., Rosenkoetter, U., McDonald, S., Togher, L., Shadish, W., Horner, R., Kratochwill, T., Barlow, D. H., Kazdin, A., et al. (2016) · Archives of Scientific Psychology · doi:10.1037/arc0000027 · Cited by 219
Chatelain, F., Kohl, C., Esser, V., Mcgarry, J. D., Girard, J., & Pegorier, J. (1996) · European Journal of Biochemistry · doi:10.1111/j.1432-1033.1996.00789.x · Cited by 123
Concept learning with differing sequences of instances.
Kurtz, K. H., & Hovland, C. I. (1956) · Journal of Experimental Psychology · doi:10.1037/h0040295 · Cited by 60
Metadata
- Authors
- Wilcoxon, F.
- Venue
- Biometrics
- Publisher
- JSTOR
- Published
- 1947-09
- Volume
- 3
- Issue
- 3
- Pages
- 119
- ISSN
- 0006-341X (ISSN-L)
- OpenAlex
- W2330406605
- Cited by
- 577
- References
- 1
- FWCI
- 1.08
- Type
- journal article
- Language
- en
- Open access
- closed
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- Wilcoxon, F. (1947). Probability Tables for Individual Comparisons by Ranking Methods. Biometrics. https://doi.org/10.2307/3001946
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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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