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Nonparametric Estimation of Ratio of Scale Parameters
Journal of the American Statistical Association, 1977Abstract Let X 1, …, X m and Y 1, …, Y n be independent random variables from two continuous distributions F (σ1 −1 (x − v)) and F (σ2 −1 (x − η)), respectively, where ν and η are medians and σ1 and σ2 are scale parameters. Explicit forms of estimators of the ratio of scale parameters are obtained based on Ansari-Bradley, modified Ansari-Bradley ...
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Modelling pairwise comparisons on ratio scales
European Journal of Operational Research, 1995Abstract Many ‘real world’ decision problems have multiple criteria on qualitative domains. Given the expectation that more and more of such problems will be modelled as MCDM problems involving scoring on subjective/qualitative domains, then there is a class of significant problems for which the evaluator will require an evaluation framework which ...
Ayodele Mobolurin+2 more
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Testing and Estimating Ratios of Scale Parameters
Journal of the American Statistical Association, 1969Abstract Let X 1, …, Xm and Y 1, …, Yn be independent random samples from populations having continuous d.f.'s Ψ((x-μ)/σ) and Ψ ((y-v)/τ) respectively. The classical F-test of a hypothesis concerning λ = τ/σ is known to be non-robust. This paper examines several robust alternative procedures and compares them on the basis of Pitman a.r.e.
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A “Halo”-Model for Multidimensional Ratio Scaling
Psychometrika, 1970A model for direct multidimensional ratio scaling is presented, based on the concepts “common” and “difference” of the “halos” of two percepts. Measures of halos and their differences are proportional to lengths of corresponding percept vectors and their distance in subjective space.
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Scale Covariance and Scale-ratio Covariance in Turbulent Front Propagation
2009We address the implications of scale symmetries in out-of-equilibrium systems within the paradigm of turbulent front propagation. Usually, in this kind of issues, the attention is laid on the scale properties of objects, i.e. of their geometry, as for instance in fractal analysis.
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A Direct Method for Multidimensional Ratio Scaling
Psychometrika, 1963A generalization of direct ratio scaling methods to multidimensional ratio scaling is described. This method requires an observer to report the proportion of a standard percept that is contained in a given percept and vice versa. The method was developed to meet requirements for experimentation in such areas as color vision, gustation, and olfaction.
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Optimization and choice based on ratio-scales
1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes, 1981The classical choice theory considers three alternative approaches to the individual choice problem: a criterion language, a binary relation language and a language of choice functions. These approaches provide equivalent descriptions of choice function classes.
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Generalized Choquet integral on ratio scales
2003International ...
Labreuche, Christophe, Grabisch, Michel
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An Objectivity-Subjectivity Ratio for Scales of Measurement
The Journal of Social Psychology, 1930Resume L'assertion non prouvee que les tests d'intelligence sont objectifs tandis que les evaluations de personalite sont subjectives a fait faire a l'auteur de cet article une serie d'experiences pour determiner les traits caracteristiques des echelles objective et subjective.
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Finger span: Ratio scale, category scale, and JND scale.
Journal of Experimental Psychology, 1959Geraldine Stone, S. S. Stevens
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