Assessing the correspondence of one or more vectors to a symmetric matrix using ordinal regression

Autor:	Thomas J. Reynolds, Kenneth H. Sutrick
Rok vydání:	1986
Předmět:	Ordinal data Ranking Basis (linear algebra) Applied Mathematics Statistics Symmetric matrix Statistical model Multidimensional scaling Scaling Ordinal regression Algorithm General Psychology Mathematics
Zdroj:	Psychometrika. 51:101-112
ISSN:	1860-0980 0033-3123
Popis:	A statistical model for interpreting psychological scaling research, based on the heuristic work of Reynolds (1983), is developed. This new approach has certain advantages over the standard property fitting approach (Chang and Carroll, 1969) currently used to interpret multidimensional scaling spaces (Shepard, 1962; Torgerson, 1965). These advantages are (a) the ability to directly assess the correspondence of a descriptor vector(s) to a symmetric matrix, and (b) to provide a method in which only ordinal properties of such descriptors are required: thus standard rating, ranking, or sorting data collection methods can be used as the basis to interpret the multidimensional space resulting from the distance data.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::17a5f5d293a2932eb6f28b0dfb4ec4ad https://doi.org/10.1007/bf02294003 Zobrazit plný text záznamu Full text from SpringerLink