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Invariance in time series representations of 2‐input 2‐output psychophysical experiments
Author(s) -
Gregson Robert A. M.
Publication year - 1984
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.2044-8317.1984.tb00792.x
Subject(s) - mathematics , representation (politics) , series (stratigraphy) , polynomial , judgement , pure mathematics , component (thermodynamics) , factoring , mathematical analysis , paleontology , physics , finance , politics , political science , law , economics , biology , thermodynamics
The dynamic representation of pairs of intensity judgement responses to two‐component odour mixtures, composed of various concentrations of bergamote and amyl acetate, is explored using multivariate time series analysis and the associated root locus diagrams derived from factoring a polynomial determinant of the matrix polynomial z‐transformation of the system transfer function. The topology of the root loci is examined for both pseudocoupled and really coupled conditions, to see how the component odourants interact in determining the psychophysics of odour mixture perception. It is shown that most subjects show a loss in gain for both components, but that they are not dynamically homogeneous. Third‐order loop gain equations are a sufficient representation in nearly all cases.