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Analysis of Factorial Experiments by Estimating Monotone Transformations of the Data
Abstract
Summary: Data may sometimes be described by a linear model with fewer terms if a transformation is applied. For example, in a factorial design the need for certain interaction terms may be eliminated by transformation. If attention is restricted to all monotone transformations, it is possible and perhaps useful to find the monotone transformation which minimizes the residual sum of squares after removing the effects explained by the model. Several sets of data from the statistical literature are analysed this way.
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Citations
Cites
Use of Half-Normal Plots in Interpreting Factorial Two-Level Experiments
Daniel, C. (1959) · Technometrics · doi:10.1080/00401706.1959.10489866 · Cited by 798
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Goss, A., & Roberts, G. S. (2011) · Journal of Banking & Finance · doi:10.1016/j.jbankfin.2010.12.002 · Cited by 2,101
Functional measurement and psychophysical judgment.
Anderson, N. H. (1970) · Psychological Review · doi:10.1037/h0029064 · Cited by 576
The Use of the Rank Transform in Regression
Iman, R. L., & Conover, W. J. (1979) · Technometrics · doi:10.1080/00401706.1979.10489820 · Cited by 514
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Green, P. E., Krieger, A. M., & Wind, Y. (2001) · Interfaces · doi:10.1287/inte.31.3s.56.9676 · Cited by 388
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Didow, N. M., & Barksdale, H. C. (1982) · Journal of Business Research · doi:10.1016/0148-2963(82)90002-9 · Cited by 13
Metadata
- Authors
- Kruskal, J. B.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 1965-07-01
- Volume
- 27
- Issue
- 2
- Pages
- 251-263
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W112215812
- Cited by
- 510
- References
- 1
- FWCI
- 4.08
- Type
- journal article
- Language
- en
- Open access
- closed
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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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