Interactive computer programs for petrologic modeling with extended Q-mode factor analysis
Computers & Geosciences
By: A.T. Miesch
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Abstract
An extended form of Q-mode factor analysis may be used if the row-sums of the data matrix are constant and can be helpful especially in developing and testing petrologic-mixing models for igneous systems. The first step is to represent the sample compositions as unit vectors in M-dimensional space and then to project them into space of fewer dimensions (m) as determined to be appropriate from a factor-variance diagram. Compositions thought to be those of possible end-members in the petrologic system then are represented as vectors in the M-dimensional space and projected into the same space as the sample vectors. If these vectors remain close to unity in length after projection, the corresponding compositions can serve as end-member compositions for the model. After m suitable end-member compositions have been identified, each sample composition is expressed as a mixture of the end-members by computation of the composition loadings. The interactive computer programs presented are useful in these procedures because of the trial-and-error nature of the modeling procedures. ?? 1976.
Suggested Citation
Miesch, A., 1976, Interactive computer programs for petrologic modeling with extended Q-mode factor analysis: Computers & Geosciences, v. 2, no. 4, p. 439-492, https://doi.org/10.1016/0098-3004(76)90039-X.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Interactive computer programs for petrologic modeling with extended Q-mode factor analysis |
| Series title | Computers & Geosciences |
| DOI | 10.1016/0098-3004(76)90039-X |
| Volume | 2 |
| Issue | 4 |
| 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 | 439 |
| Last page | 492 |