The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
The Biplot as a Diagnostic Tool for Models of Two-Way Tables
Abstract
The biplot graphical display of matrices is proposed as a data analytic tool for diagnosing the type of model to fit the data. Rows and columns of the data matrix are represented by markers—the diagnosis proceeds by examining these markers for collinearity. Thus, for example. if set I of row markers are collinear and a set J of column markers are also collinear. a Tukey degree-of-freedom-for-non-additivity is diagnosed for the submatrix of these I-rows and J-columns: if the two lines are at 90°. an additive model is diagnosed. Mandel type models are similarly diagnosed when either the row or the column markers are collinear but not both. Illustrations from physical science data show how simple biplot diagnostic modeling is and how many features of the data are revealed. Of particular interest are biplots of three-way layouts which allow visual inspection of main effects and interactions.
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Citations
Cites
The Analysis of Variance and the Analysis of Causes.
Lewontin, R. C. (1974) · Zenodo · doi:10.5281/zenodo.10755182 · Cited by 581
Metadata
- Authors
- Bradu, D., & Gabriel, K. R.
- Venue
- Technometrics
- Publisher
- Informa UK Limited
- Published
- 1978-02
- Volume
- 20
- Issue
- 1
- Pages
- 47-68
- ISSN
- 0040-1706 (ISSN-L)
- 1537-2723
- OpenAlex
- W1968375745
- Cited by
- 202
- References
- 1
- FWCI
- 4.71
- Type
- journal article
- Language
- en
- Open access
- closed
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- Bradu, D., & Gabriel, K. R. (1978). The Biplot as a Diagnostic Tool for Models of Two-Way Tables. Technometrics. https://doi.org/10.1080/00401706.1978.10489617
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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.
