Q-mode factor analysis of compositional data
Computers & Geosciences
By: A.T. Miesch
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Abstract
An extended form of the method of Q-mode factor analysis may be used if the rows of the data matrix sum to a constant. The constant row-sum provides a means for scaling the factor model to conform to the units of the original data in such forms as proportions, percentages, or parts per million. The scale factors for an m-factor model are used to derive composition scores and loadings, which lead to the same reproduced data regardless of the choice of reference axes (end-members). Factor-variance diagrams may be constructed to show the proportion of the variance that will be accounted for in each compositional variable by models containing various numbers of end-members. The method may be used to develop a petrologic mixing model by searching for end-members that are geologically plausible. ?? 1976.
Suggested Citation
Miesch, A., 1976, Q-mode factor analysis of compositional data: Computers & Geosciences, v. 1, no. 3, p. 147-159, https://doi.org/10.1016/0098-3004(76)90003-0.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Q-mode factor analysis of compositional data |
| Series title | Computers & Geosciences |
| DOI | 10.1016/0098-3004(76)90003-0 |
| Volume | 1 |
| Issue | 3 |
| Year Published | 1976 |
| Language | English |
| Publisher | Elsevier |
| Publisher location | Amsterdam, Netherlands |
| Larger Work Type | Article |
| Larger Work Subtype | Journal Article |
| Larger Work Title | Computers and Geosciences |
| First page | 147 |
| Last page | 159 |