The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
A Robust Method for Multiple Linear Regression
Abstract
Techniques of fitting are said to be resistant when the result is not greatly altered in the case a small fraction of the data is altered: techniques of fitting are said to be robust of efficiency when their statistical efficiency remains high for conditions more realistic than the utopian cases of Gaussian distributions with errors of equal variance. These properties are particularly important in the formative stages of model building when the form of the response is not known exactly. Techniques with these properties are proposed and discussed.
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Citations
Cites
An Algorithm for Least-Squares Estimation of Nonlinear Parameters
Marquardt, D. W. (1963) · Journal of the Society for Industrial and Applied Mathematics · doi:10.1137/0111030 · Cited by 30,728
Robust estimation of a location parameter
Huber, P. J. (1964) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177703732 · Cited by 7,228
Singular value decomposition and least squares solutions
Golub, G. H., & Reinsch, C. (1970) · Numerische Mathematik · doi:10.1007/bf02163027 · Cited by 2,929
Cited by
Robust Locally Weighted Regression and Smoothing Scatterplots
Cleveland, W. S. (1979) · Journal of the American Statistical Association · doi:10.1080/01621459.1979.10481038 · Cited by 11,594
Robust regression using iteratively reweighted least-squares.
Holland, P. W., & Welsch, R. E. (1977) · Communications in Statistics - Theory and Methods · doi:10.1080/03610927708827533 · Cited by 2,115
Residuals and Influence in Regression.
Atkinson, A. C., Cook, R. D., & Weisberg, S. (1983) · Biometrics · doi:10.2307/2531125 · Cited by 1,904
A Biometrics Invited Paper. The Analysis and Selection of Variables in Linear Regression
Hocking, R. R. (1976) · Biometrics · doi:10.2307/2529336 · Cited by 1,765
Robust Statistical Modeling Using the t Distribution
Lange, K. L., Little, R. J. A., & Taylor, J. M. G. (1989) · Journal of the American Statistical Association · doi:10.1080/01621459.1989.10478852 · Cited by 1,039
Metadata
- Authors
- Andrews, D. F.
- Venue
- Technometrics
- Publisher
- Informa UK Limited
- Published
- 1974-11
- Volume
- 16
- Issue
- 4
- Pages
- 523-531
- ISSN
- 0040-1706 (ISSN-L)
- 1537-2723
- OpenAlex
- W1967484865
- Cited by
- 635
- References
- 3
- FWCI
- 14.06
- Type
- journal article
- Language
- en
- Open access
- closed
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- Andrews, D. F. (1974). A Robust Method for Multiple Linear Regression. Technometrics. https://doi.org/10.1080/00401706.1974.10489233
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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.
