2012
DOI: 10.5539/ijps.v4n3p23
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Fundamental Measurement of Perceived Length and Perceived Area

Abstract: Using the method of counting mental units the study explored whether judged lengths and area in right triangles, squares, and disks were consistent with the geometric relationships in these surfaces. Judgments were found to consist with these relationships supporting the idea that they were fundamental measures of perceived extents. Fundamental measures obtained by mental counting differ from corresponding measures obtained by magnitude estimation, rating, and nonmetric scaling. Reasons are suggested as to why… Show more

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Cited by 5 publications
(3 citation statements)
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“…In Figure 2, the results for the group of 9 participants show that factorial curves formed a set of diverging straight lines as predicted by Equation 2, supporting the hypothesis that (3) (Anderson, 1981(Anderson, , 1982. Empirical evidence shows that perceived and physical distance are related linearly, at least approximately (Masin, 2012;Masin & Anali, 2011). That is, it shows that D 1 = k · į1 and D 2 = k · į 2 with k constant.…”
Section: Discussionsupporting
confidence: 57%
“…In Figure 2, the results for the group of 9 participants show that factorial curves formed a set of diverging straight lines as predicted by Equation 2, supporting the hypothesis that (3) (Anderson, 1981(Anderson, , 1982. Empirical evidence shows that perceived and physical distance are related linearly, at least approximately (Masin, 2012;Masin & Anali, 2011). That is, it shows that D 1 = k · į1 and D 2 = k · į 2 with k constant.…”
Section: Discussionsupporting
confidence: 57%
“…Perceived distance judged by ratio estimation linearly represents both perceived and physical distance (Masin, 2012;Masin & Anali, 2011;Wagner, 2006, p. 87). The ratio of the physical distance between B and C to that between A and B should thus linearly represent the ratio of the perceived counterparts of these distances.…”
Section: Resultsmentioning
confidence: 98%
“…The constant k expresses the possible effect of constant errors. The hypothesis that Ψ S is constant during mental counting receives support from the finding that, under proper conditions, mental counting yields judgments of lengths in flat surfaces that are consistent with the laws of geometry (Masin, 2012). Experiment 1 tested the validity of Eqs.…”
Section: Hypotheses About Ratio Evaluationmentioning
confidence: 99%