Premium
INVARIANCE OF THE GUTTMAN QUASI‐SIMPLEX LINEAR MODEL UNDER SELECTION
Author(s) -
Mukherjee Bishwa Nath
Publication year - 1969
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1969.tb00417.x
Subject(s) - guttman scale , mathematics , simplex , selection (genetic algorithm) , set (abstract data type) , invariant (physics) , context (archaeology) , model selection , statistics , computer science , combinatorics , artificial intelligence , paleontology , mathematical physics , biology , programming language
The paper contains a proof that the Guttman additive quasi‐simplex model is invariant under selection of examinees when a set of continuous variables each having different error of measurement is ordered on the simplex continuum in terms of either increasing or decreasing magnitudes of ‘complexity’ provided that selection is based on those measures which are less variable than each of the measures of the remaining set. When variables with highest ‘complexity’ ranks constitute the basis of selection, then such an invariance breaks down. The significance of the problem is discussed in the context of personnel selection. In addition, many implications of the results are stated which hold good for various multivariate statistical techniques.