The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Selection of Variables for Fitting Equations to Data
Abstract
Selecting a suitable equation to represent a set of multifactor data that was collected for other purposes in a plant, pilot-plant, or laboratory can be troublesome. If there are k independent variables, there are 2 k possible linear equations to be examined; one equation using none of the variables, k using one variable, k(k – 1)/2 using two variables, etc. Often there are several equally good candidates. Selection depends on whether one needs a simple interpolation formula or estimates of the effects of individual independent variables. Fractional factorial designs for sampling the 2 k possibilities and a new statistic proposed by C. Mallows simplify the search for the best candidate. With the new statistic, regression equations can be compared graphically with respect to both bias and random error.
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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
Cited by
Cross validatory choice and assessment of statistical predictions
Stone, M. (1974) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1974.tb00994.x · Cited by 10,881
Ridge regression: Biased estimation for nonorthogonal problems
Hoerl, A. E., & Kennard, R. W. (1970) · Technometrics · doi:10.1080/00401706.1970.10488634 · Cited by 9,648
Information Theory and an Extension of the Maximum Likelihood Principle
Akaike, H. (1992) · Springer Series in Statistics · doi:10.1007/978-1-4612-0919-5_38 · Cited by 3,028
Wold, S., Ruhe, A., Wold, H., & Dunn, III (1984) · SIAM Journal on Scientific and Statistical Computing · doi:10.1137/0905052 · Cited by 2,529
Bayes Estimates for the Linear Model
Lindley, D. V., & Smith, A. F. M. (1972) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1972.tb00885.x · Cited by 2,025
Metadata
- Authors
- Gorman, J. W., & Toman, R. J.
- Venue
- Technometrics
- Publisher
- Informa UK Limited
- Published
- 1966-02
- Volume
- 8
- Issue
- 1
- Pages
- 27-51
- ISSN
- 0040-1706 (ISSN-L)
- 1537-2723
- OpenAlex
- W2092369573
- Cited by
- 284
- References
- 1
- FWCI
- 14.66
- Type
- journal article
- Language
- en
- Open access
- closed
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