Title: backward stepwise linear discriminant analysis
Long Title: IUPAC Gold Book - backward stepwise linear discriminant analysis
DOI: 10.1351/goldbook.10119
Status: current

Definition
Linear discriminant analysis in which variables to build the discriminant functions are removed one at a time to minimise the loss of discrimination, until there is a significant loss.

Notes
1) Significant loss is tested by an F-test
2) Interrelationships between variables that have not yet been selected are ignored, and variables already added, which may become largely redundant through subsequent additions, cannot be removed.

Related Terms
- Linear discriminant analysis: https://goldbook.iupac.org//terms/view/10133
- forward stepwise linear discriminant analysis: https://goldbook.iupac.org//terms/view/10126

Source
- PAC, 2016, 88, 407. 'Vocabulary of concepts and terms in chemometrics (IUPAC Recommendations 2016)' on page 426 (https://doi.org/10.1515/pac-2015-0605)

Other Outputs
- html: https://goldbook.iupac.org/terms/view/10119/html
- json: https://goldbook.iupac.org/terms/view/10119/json
- xml: https://goldbook.iupac.org/terms/view/10119/xml

Citation: Citation: 'backward stepwise linear discriminant analysis' in IUPAC Compendium of Chemical Terminology, 5th ed. International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.10119
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Accessed: 2026-08-07T18:25:01+00:00