Proceedings of The World Congress of the Systems Sciences and ISSS 2000
Information theory, Decision analysis, Multivariate analysis, Decision trees -- Mathematical models
Reconstructability analysis (RA) is a method for detecting and analyzing the structure of multivariate categorical data. Jones and his colleagues extended the original variable-based formulation of RA to encompass models defined in terms of system states (Jones 1982; Jones 1985; Jones 1985; Jones 1986; Jones 1989). In this paper, we demonstrate that Jones’ previous work comprises two separable ideas: the “g to k” transformation and state-based modeling. We relate the concept of state-based modeling to established variable-based RA methods (Klir 1985; Krippendorff 1986), and demonstrate that statebased modeling, when applied to event and decision tree models, is a valuable adjunct to the variable-based sensitivity analyses commonly employed in risk and decision modeling. Examples are provided to illustrate the approach, and issues associated with the interpretation of state-based sensitivity analyses are explored.
Johnson, M.S., and Zwick, M. (2000). "State-Based Reconstructability Modeling for Decision Analysis." Proceedings of The World Congress of the Systems Sciences and ISSS 2000, Allen, J .K. and Wilby, J.M. eds., Toronto, Canada: International Society for the Systems Sciences.