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- W2185838963 abstract "Stein and Heikkinen (2009) are mostly right in their characterization of the lack of metric properties of most stage theories. However, they leave out two very important facts. One is that the Model of Hierarchical Complexity (MHC) is a general theory and part of the normal Mathematical Theory of Measurement (Krantz, Luce, Suppes, & Tversky, 1971; Luce, & Tukey, 1964) applied to the phenomena of difficulty. This means that the nature of hierarchical complexity and its implications for measurement are not included in the Stein and Heikkinen account. Another is that the MHC is not limited to scoring applications, such as its Hierarchical Complexity Scoring System (HCSS; Commons, Rodriguez, Miller, Ross, LoCicero, et al., 2007) or Dawson's Lectical Assessment System (LAS; 2008). The MHC is also used to generate tasks for measurement of any entities’ performances of tasks (humans, social organizations, animals, and machines) as well as for other applications (e.g., design of neural nets; see Commons & White, 2006/2009). Without these facts included, Stein and Heikkinen and their readers miss the importance of the theory and its role in the LAS methods they discuss. As a mathematics-based, behavioral developmental theory of measurement, it is a content-free stage-and-transition step generator. As such, it is a paradigm that accounts for the existence of developmental behavioral patterns and, among other things, the stage theories that describe such patterns. These facts bear directly on— and strengthen—Stein and Heikkinen’s arguments and should be considered in discussions of developmental metrics and their properties." @default.
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- W2185838963 date "2009-01-01" @default.
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- W2185838963 title "Further Issues in Stage Metrics" @default.
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