Abstract

This paper discusses a number of problems with existing unfolding models and proposes a strategy of analysis to overcome these problems. This strategy assumes dichotomous or dichotomized data, and derives unfoldability criteria from information about ordered triples of stimuli. A unidimensional unfolding scale conforming to these criteria can be found for a maximal subset of stimuli. This procedure can be applied to full or partial rank orders of preference, which are dichotomized to “pick k/n” data, and to Likert-type rating scales, which are dichotomized to “pick any/n” data. This procedure is applicable to large data sets, such as survey data. As an example, the procedure is applied to preferences for five German political parties in electoral surveys in 1969, 1972, and 1980. A dominant left-right unfolding dimension is found, and violations of this representation are discussed.

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