The DOI matches its Crossref record; 76 of the 76 references it cites were found in a registry or an index.
Response surface methodology
Abstract
The purpose of this article is to provide a survey of the various stages in the development of response surface methodology (RSM). The coverage of these stages is organized in three parts that describe the evolution of RSM since its introduction in the early 1950s. Part I covers the period, 1951–1975, during which the so‐called classical RSM was developed. This includes a review of basic experimental designs for fitting linear response surface models, in addition to a description of methods for the determination of optimum operating conditions. Part II, which covers the period, 1976–1999, discusses more recent modeling techniques in RSM, in addition to a coverage of Taguchi's robust parameter design and its response surface alternative approach. Part III provides a coverage of further extensions and research directions in modern RSM. This includes discussions concerning response surface models with random effects, generalized linear models, and graphical techniques for comparing response surface designs. Copyright © 2010 John Wiley & Sons, Inc. This article is categorized under:Statistical Models > Linear Models Statistical Models > Nonlinear Models
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
(2005) · Statistics for Biology and Health · doi:10.1007/0-387-27255-0_9 · Cited by 20,133
McCullagh, P., & Nelder, J. A. (1989) · doi:10.1007/978-1-4899-3242-6 · Cited by 16,836
Response Surface Methodology: Process and Product Optimization Using Designed Experiments
Gunst, R. F., Myers, R. H., & Montgomery, D. C. (1996) · Technometrics · doi:10.2307/1270613 · Cited by 9,530
An Efficient Method of Estimating Seemingly Unrelated Regressions and Tests for Aggregation Bias
Zellner, A. (1962) · Journal of the American Statistical Association · doi:10.1080/01621459.1962.10480664 · Cited by 8,401
Nelder, J. A., & Wedderburn, R. W. M. (1972) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2344614 · Cited by 7,194
Addelman, S. (1979) · Technometrics · doi:10.1080/00401706.1979.10489788 · Cited by 6,750
Multivariate Statistical Methods
(2008) · Encyclopedia of Public Health · doi:10.1007/978-1-4020-5614-7_2263 · Cited by 5,580
Simultaneous Optimization of Several Response Variables
Derringer, G., & Suich, R. (1980) · Journal of Quality Technology · doi:10.1080/00224065.1980.11980968 · Cited by 5,212
Generalized Linear Models (2nd ed.).
Therneau, T. M., McCullagh, P., & Nelder, J. A. (1993) · Journal of the American Statistical Association · doi:10.2307/2290358 · Cited by 4,907
Small sample inference for fixed effects from restricted maximum likelihood
Kenward, M. G., & Roger, J. H. (1997) · Biometrics · doi:10.2307/2533558 · Cited by 4,552
Cited by
Alara, O. R., Abdurahman, N. H., Ukaegbu, C. I., & Azhari, N. H. (2018) · Industrial Crops and Products · doi:10.1016/j.indcrop.2018.06.034 · Cited by 176
Measurement and analysis of surface roughness in turning of aerospace titanium alloy (gr5)
Ramesh, S., Karunamoorthy, L., & Palanikumar, K. (2012) · Measurement · doi:10.1016/j.measurement.2012.01.010 · Cited by 151
Golmakani, M.-T., Mendiola, J. A., Rezaei, K., & Ibáñez, E. (2012) · The Journal of Supercritical Fluids · doi:10.1016/j.supflu.2011.11.026 · Cited by 101
Relating alternative forms of contingency fit to the appropriate methods to test them
Burkert, M., Davila, A., Mehta, K., & Oyon, D. (2014) · Management Accounting Research · doi:10.1016/j.mar.2013.07.008 · Cited by 87
Kumari, S., Agarwal, S., Kumar, M., Sharma, P., Kumar, A., Hashem, A., Alotaibi, N. H., Abd-Allah, E. F., & Garg, M. C. (2025) · Scientific Reports · doi:10.1038/s41598-025-87274-3 · Cited by 78
Metadata
- Authors
- Khuri, A. I., & Mukhopadhyay, S.
- Venue
- WIREs Computational Statistics
- Publisher
- Wiley
- Published
- 2010-03
- Volume
- 2
- Issue
- 2
- Pages
- 128-149
- ISSN
- 1939-0068 (ISSN-L)
- 1939-5108
- OpenAlex
- W2107845890
- Cited by
- 2,113
- References
- 76
- FWCI
- 48.40
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Response surface methodology. https://app.cochat.ai/papers/10.1002/wics.73
- The paper
- Khuri, A. I., & Mukhopadhyay, S. (2010). Response surface methodology. WIREs Computational Statistics. https://doi.org/10.1002/wics.73
Data sources
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.