Abstract
The purpose of this chapter is to trace the evolution of the concept of invariant measurement as it appears in the work of Guttman and Rasch. The first section of the paper describes the concept of invariance. This section includes a detailed description of the perspectives of Guttman and Rasch on invariant measurement. The next section presents a re-analysis of the Stouffer-Toby data set using Guttman scaling and Rasch measurement theory. Finally, the implications for research, theory and practice of measurement are discussed. An earlier version of this research was presented at the Ben Wright Conference in Chicago (April 2003). I dedicate this chapter to Ben because it represents a continuation of my memos to him on the foundational ideas of measurement.
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Engelhard, G. (2017). Cogitations on Invariant Measurement. In: Wilson, M., Fisher, Jr., W. (eds) Psychological and Social Measurement. Springer Series in Measurement Science and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-67304-2_2
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