Abstract
The choosing of a set of factors likely to correspond to the real psychological unitary traits in a situation usually reduces to finding a satisfactory rotation in a Thurstone centroid analysis. Seven principles, three of which are new, are described whereby rotation may be determined and/or judged. It is argued that the most fundamental is the principle of “parallel proportional profiles” or “simultaneous simple structure.” A mathematical proof of the uniqueness of determination by this means is attempted and equations are suggested for discovering the unique position.
Keywords
Thurstone scaleRotation (mathematics)CentroidUniquenessUnitary stateMathematicsSimple (philosophy)Set (abstract data type)Position (finance)Applied mathematicsStatisticsMathematical economicsMathematical analysisComputer scienceGeometryEpistemology
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Publication Info
- Year
- 1944
- Type
- article
- Volume
- 9
- Issue
- 4
- Pages
- 267-283
- Citations
- 270
- Access
- Closed
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Cite This
Raymond B. Cattell
(1944).
“Parallel Proportional Profiles” and other Principles for Determining the Choice of Factors by Rotation.
Psychometrika
, 9
(4)
, 267-283.
https://doi.org/10.1007/bf02288739
Identifiers
- DOI
- 10.1007/bf02288739