Excerpt from T1 Scaling: A Mathematical Programming Approach to Thurstonian Scaling

When the objects share a common characteristic that is not directly measurable, such as l'beauty or softness, the ordering of the objects must depend upon some subjective estimate of the common characteristic exhibited by each object. In order to facilitate the process of ordering the objects along a continuum without an apparent scale, the method of paired comparisons is used to exact a set of relative judgments from an observer. Thus, for any given pair of objects the observer is required only to judge which of the two exceeds the other with respect to the underlying characteristic. This set of pairwise judgments is used to determine scale values with interval properties.

The law of comparative judgment established thetheoretical foundations for Thurstone's judgment scaling model. Each object, when presented to the observer, acts as a stimulus which excites a certain discriminal process within the observer. Due to changing conditions in the experimental situation or fluctuations within the observer, the same stimulus might trigger a slightly different process, such that the position of th stimulus on the specific psychological continuum is not always the same. For example, an observer's subjective estimate of the beauty of an object might be different when presented with the object a second time, on account of the observer's mood, the time of day, or the temperature of his surroundings.

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