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| title | chunk | source | category | tags | date_saved | instance |
|---|---|---|---|---|---|---|
| Facet theory | 7/8 | https://en.wikipedia.org/wiki/Facet_theory | reference | science, encyclopedia | 2026-05-05T09:54:10.375224+00:00 | kb-cron |
Interval 1. Low Utility & Low Equality DJ Attitude Interval 2. Low Utility & High Equality DJ Attitude Interval 3. High Utility s & Low Corrective Action DJ Attitude Interval 4. High Utility & High Corrective Action DJ Attitude That is, Enhanced Utility Attitude, even if low, (interval 1 and 2) is somewhat present when Equality is favored (interval 2). If Enhanced Utility Attitude is high (intervals 3 and 4), it reaches the extreme level (interval 4) when Corrective Action is favored. (This may well reflect the sentiment that, in the long run, the advancement of disadvantaged pupils serves the common good.) The meanings of the fundamental variables, X and Y, while relying on the concepts of fairness and of utility, respectively, suggest new notions that modify them. The new notions were christened Enhanced (or Extended) Fairness and Enhanced (or Extended) Utility.
=== Complementary topics in partial order spaces === Higher order partition lines. The above simple measurement space illustrates partition-lines that are straight or have one bend. More complex measurement spaces result with items whose partition-lines have two or more bends. While partial order spaces are used mainly for analyzing score profiles (based on range facets), under certain conditions, they may be applied to the analysis of content profiles; i.e., those based on content facets. Relating POSAC Measurement Space to the SSA Concept Space. Based on the same data matrix, POSAC measurement space and Faceted SSA concept space are mathematically related. Proved relationships rely on the introduction of a new kind of coefficient, E*, the coefficient of structural similarity. While E* assesses pairwise similarity between variables, it does depend on variations in the remaining n-2 variables processed. That is, in the spirit of Facet Theory, E* depends on the sampled contents as well as on the sampled population. LSA1 procedure, within 2-dimensional POSAC/LSA program, is a special version of SSA with E* as the similarity coefficient, and with lattice ("city block") as the distance function. Under specified conditions, LSA1 may be readily derived from the boundary scales of the POSAC configuration, thereby highlighting concept/measurement space duality.