The Efficient Computation of Unbiased Mahalanobis Distances and Their Interpretation in Archaeometry
Bibliographic Data
| ID | 8354475 |
|---|---|
| Authors | M N Leese, Morven Leese (British Museum), P L MAIN, Paloma Maı́n (0000-0002-7418-5381, British Museum) |
| Year | 1994 |
| Volume | 36 |
| Issue | 2 |
| Pages | 307-316 |
| Publication date | 1994-08-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Archaeometry (JOURNAL) |
| Journal identifiers | ISSN: 0003-813X • E-ISSN: 1475-4754 |
| Publisher | Wiley (PUBLISHER • GB) |
| DOI | 10.1111/j.1475-4754.1994.tb00972.x |
| OpenAlex | W2101314507 |
| Language | EN |
| Citations received | 20 |
| References cited | 8 |
This paper argues for cross‐validation to reduce bias in estimating Mahalanobis distances of individuals to groups, a particular problem with small sample sizes. Formulae for the efficient computation of cross‐validated distances, which avoid excessive matrix inversion, are given. The use of Mahalanobis distances as measures of consistency, or as indications of outlying values, is described. The little‐known technique of gamma plotting is outlined and discussed as an aid to interpreting distances in these terms. Both cross‐validation and gamma plotting are illustrated in an example on marble composition
Algorithm · Computation · Consistency (knowledge bases) · Interpretation (philosophy) · Mahalanobis distance · Statistics · Advanced Statistical Methods and Models · Artificial Intelligence · Computer Science · Geochemistry and Geologic Mapping · Mathematics · Remote-Sensing Image Classification
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| Citations per year | 0.65 |
|---|---|
| Citation span | 1995 - 2021 (27) |
| Highly cited | No |