The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Robust Estimates, Residuals, and Outlier Detection with Multiresponse Data
Abstract
SUMMARY The paper gives an overview of concepts and techniques pertaining to (i) the robust estimation of multivariate location and dispersion; (ii) the analysis of two types of multidimensional residuals-namely those that occur in the context of principal components analysis as well as the more familiar residuals associated with least squares fitting; and (iii) the detection of multiresponse outliers. The emphasis is on methods for informal exploratory analysis and the coverage is both a survey of existing techniques and an attempt to propose, tentatively, some new methodology which needs further investigation and development. Some examples of use of the methods are included.
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Citations
Cites
Robust estimation of a location parameter
Huber, P. J. (1964) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177703732 · Cited by 7,228
Cited by
A survey on unsupervised outlier detection in high‐dimensional numerical data
Zimek, A., Schubert, E., & Kriegel, H. (2012) · Statistical Analysis and Data Mining The ASA Data Science Journal · doi:10.1002/sam.11161 · Cited by 864
Influence functions of the Spearman and Kendall correlation measures
Croux, C., & Dehon, C. (2010) · Statistical Methods & Applications · doi:10.1007/s10260-010-0142-z · Cited by 634
On choosing a test statistic in multivariate analysis of variance
Olson, C. L. (1976) · Psychological Bulletin · doi:10.1037/0033-2909.83.4.579 · Cited by 649
An Object-Oriented Framework for Robust Multivariate Analysis
Todorov, V., & Filzmoser, P. (2009) · Journal of Statistical Software · doi:10.18637/jss.v032.i03 · Cited by 420
Robust statistics in data analysis — A review
Daszykowski, M., Kaczmarek, K., Vander Heyden, Y., & Walczak, B. (2007) · Chemometrics and Intelligent Laboratory Systems · doi:10.1016/j.chemolab.2006.06.016 · Cited by 331
Li, G., & Chen, Z. (1985) · Journal of the American Statistical Association · doi:10.1080/01621459.1985.10478181 · Cited by 314
Liu, Y.-J., André, S., Saint Cristau, L., Lagresle, S., Hannas, Z., Calvosa, É., Devos, O., & Duponchel, L. (2017) · Analytica Chimica Acta · doi:10.1016/j.aca.2016.11.064 · Cited by 54
Robust and sparse correlation matrix estimation for the analysis of high-dimensional genomics data
Serra, A., Coretto, P., Fratello, M., & Tagliaferri, R. (2018) · Bioinformatics · doi:10.1093/bioinformatics/btx642 · Cited by 25
Metadata
- Authors
- Gnanadesikan, R., & Kettenring, J. R.
- Venue
- Biometrics
- Publisher
- JSTOR
- Published
- 1972-03
- Volume
- 28
- Issue
- 1
- Pages
- 81
- ISSN
- 0006-341X (ISSN-L)
- OpenAlex
- W1989638282
- Cited by
- 808
- References
- 1
- FWCI
- 5.84
- Type
- journal article
- Language
- en
- Open access
- closed
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