The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.
Permutation Theory in the Derivation of Robust Criteria and the Study of Departures from Assumption
Abstract
SYNOPSIS: In the practical circumstances in which statistical procedures are applied, little is usually known of the validity of assumptions such as the normality of the error distribution. Procedures are required which are “robust” (insensitive to changes in extraneous factors not under test) as well as powerful (sensitive to specific factors under test). Permutation theory, which provides one method for deriving robust criteria, is discussed and applied to the problem of comparing variances.
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Cites
IX. On the problem of the most efficient tests of statistical hypotheses
Neyman, J., & Pearson, E. S. (1933) · Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character · doi:10.1098/rsta.1933.0009 · Cited by 2,341
ON THE COMPARISON OF SEVERAL MEAN VALUES: AN ALTERNATIVE APPROACH
WELCH, B. L. (1951) · Biometrika · doi:10.1093/biomet/38.3-4.330 · Cited by 1,727
THE SIGNIFICANCE OF THE DIFFERENCE BETWEEN TWO MEANS WHEN THE POPULATION VARIANCES ARE UNEQUAL
WELCH, B. L. (1938) · Biometrika · doi:10.1093/biomet/29.3-4.350 · Cited by 1,640
Box, G. E. P. (1954) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177728786 · Cited by 1,513
Self-citationNON-NORMALITY AND TESTS ON VARIANCES
BOX, G. E. P. (1953) · Biometrika · doi:10.1093/biomet/40.3-4.318 · Cited by 1,302
Self-citationSignificance Tests Which May be Applied to Samples from Any Populations
Pitman, E. J. G. (1937) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.2307/2984124 · Cited by 729
Box, G. E. P. (1954) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177728717 · Cited by 558
Self-citationProblems Arising in the Analysis of a Series of Similar Experiments
Cochran, W. G. (1937) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.2307/2984123 · Cited by 448
PITMAN, E. J. G. (1938) · Biometrika · doi:10.1093/biomet/29.3-4.322 · Cited by 328
ON THE z-TEST IN RANDOMIZED BLOCKS AND LATIN SQUARES
WELCH, B. L. (1937) · Biometrika · doi:10.1093/biomet/29.1-2.21 · Cited by 287
Cited by
Empirical threshold values for quantitative trait mapping.
Churchill, G. A., & Doerge, R. W. (1994) · Genetics · doi:10.1093/genetics/138.3.963 · Cited by 4,935
Measures of multivariate skewness and kurtosis with applications
MARDIA, K. V. (1970) · Biometrika · doi:10.1093/biomet/57.3.519 · Cited by 4,792
Permutation inference for the general linear model
Winkler, A. M., Ridgway, G. R., Webster, M. A., Smith, S. M., & Nichols, T. E. (2014) · NeuroImage · doi:10.1016/j.neuroimage.2014.01.060 · Cited by 3,563
On the meaning and use of kurtosis.
DeCarlo, L. T. (1997) · Psychological Methods · doi:10.1037//1082-989x.2.3.292 · Cited by 1,755
Why Permutation Tests are Superior to t and F Tests in Biomedical Research
Ludbrook, J., & Dudley, H. (1998) · The American Statistician · doi:10.1080/00031305.1998.10480551 · Cited by 342
Metadata
- Authors
- Box, G. E. P., & Andersen, S. L.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 1955-01-01
- Volume
- 17
- Issue
- 1
- Pages
- 1-26
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W2903825987
- Cited by
- 401
- References
- 25
- FWCI
- 8.71
- Type
- journal article
- Language
- en
- Open access
- closed
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- Box, G. E. P., & Andersen, S. L. (1955). Permutation Theory in the Derivation of Robust Criteria and the Study of Departures from Assumption. Journal of the Royal Statistical Society Series B: Statistical Methodology. https://doi.org/10.1111/j.2517-6161.1955.tb00176.x
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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.
