The foundations of ordinal factor analysis: Affine and spherical geometries induced by a collection of weak orders (Q1802045)
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scientific article; zbMATH DE number 218828
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The foundations of ordinal factor analysis: Affine and spherical geometries induced by a collection of weak orders |
scientific article; zbMATH DE number 218828 |
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The foundations of ordinal factor analysis: Affine and spherical geometries induced by a collection of weak orders (English)
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13 April 1994
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The usual model for ordinal factor analysis represents individuals as points in a vector space and their rankings on tests as projections onto suitably directed axes. This paper shows how one can recover such a model from axioms whose undefined concepts are weak orders on an arbitrary set.
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affine geometries
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spherical geometries
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general position
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equivalence relation
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Desargues' property
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ordinal factor analysis
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vector space
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rankings on tests
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projections
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directed axes
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axioms
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weak orders
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