Goodman contributed to the theory of scaling by including a category of intrinsically unscalable respondents in addition to the usual scale-type respondents. However, his formulation permits only error-free responses by respondents from the scale types. This paper presents new scaling models which have the properties that: (1) respondents in the scale types are subject to response errors; (2) a test of significance can be constructed to assist in deciding on the necessity for including an intrinsically unscalable class in the model; and (3) when an intrinsically unscalable class is not needed to explain the data, the model reduces to a probabilistic, rather than to a deterministic, form. Three data sets are analyzed with the new models and are used to illustrate stages of hypothesis testing. © 1980 The Psychometric Society.
CITATION STYLE
Dayton, C. M., & Macready, G. B. (1980). A scaling model with response errors and intrinsically unscalable respondents. Psychometrika, 45(3), 343–356. https://doi.org/10.1007/BF02293908
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