Pythagorean distance and the judged similarity of schematic stimuli

@article{Rankin1970PythagoreanDA,
  title={Pythagorean distance and the judged similarity of schematic stimuli},
  author={William C. Rankin and Robert Markley and Selby H. Evans},
  journal={Perception \& Psychophysics},
  year={1970},
  volume={7},
  pages={103-107}
}
Independent groups of Ss rated the similarity of pairs of patterns belonging to the same class, either bef ore or af ter a discrimination task of schematic concept formation (SCF). Mean similarity increased as a function of SCF pretraining. A linear relationship was found between a Pythagorean distance measure on the patterns and subjective similarity of pairs of stimuli (r=.88). No such relationship was obtained from an analysis of judgments from a group that viewed random, nonschematic… 
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References

SHOWING 1-10 OF 16 REFERENCES
The quantitative study of shape and pattern perception.
TLDR
The pre-eminent importance of formal or relational factors in perception has been abundantly demonstrated during some forty years of gestalt psychology, but it seems extraordinary that so little progress has been made toward the systematizing and quantifying of such factors.
Facilitation of schematic concept formation as a function of two within-schema pretraining modes
Effects of prior training on schematic concept formation (SCF) were studied in a transfer paradigm employing two types of pretraining experience. One group scaled pairs of patterns from a single
The analysis of proximities: Multidimensional scaling with an unknown distance function. II
TLDR
The results of two kinds of test applications of a computer program for multidimensional scaling on the basis of essentially nonmetric data are reported to measures of interstimulus similarity and confusability obtained from some actual psychological experiments.
Schematic concept formation with linguaform patterns
TLDR
This study extends to linguaform patterns the results of earlier studies of schematic concept formation (SCF) with histoforms, finding that all Ss performed above chance and improved with experience, whether the odd pattern represented a different schema or a random sequence.
VARGUS 9: Computed stimuli for schema research
A method is presented for producing stimuli by sampling from a defined population in such a way that each stimulus may be regarded as a set of measurable deviations from a prototype. Procedures are
THE MULTIDIMENSIONAL ANALYSIS OF ‘ELASTIC’ DISTANCES
A new orientation to the problem of multidimensional scaling is presented using the notion of ‘elastic’ distances. Making use of a rational theory of judgement variability (in line with Thurstone's
Preference Scaling via a Modification of Shepard's Proximity Analysis Method1
TLDR
A method of scaling based on an iterative computer program that accepts as input any set of paired-comparison preference data and produces as output a one-dimensional scale of preference is described.
Schematic concept formation: Demonstration in a free sorting task
Presented with a set of patterns containing two schema-defined categories, Ss were asked to sort the patterns into two categories. No instructions about relevant attributes were given, and no
Vargus 7: Computed patterns from markov processes
Research in pattern perception could benefit from an efficient method for sampling unfamiliar patterns from a defined population of stimuli under conditions which allow for independent control of
A brief statement of schema theory
TLDR
A concise summary of extended schema theory is presented, with provisional definitions of key terms and a statement of the basic suppositions about schema learning.
...
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2
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