Signed difference analysis: Testing for structure under monotonicity

We describe the theory of oriented matroids as it applies to SDA and derive tests for both linear and nonlinear models. In addition, we show that state-trace analysis is a special case of SDA which we extend to models such as additive conjoint measurement where each dependent variable is the same unspecified monotonic function of a linear combination of latent variables. Lastly, we show how measurement error can be accommodated based on the model-fitting approach developed by Kalish et al. (2016).

Source: Journal of Mathematical Psychology - August 3, 2018 Category: Psychiatry & Psychology Source Type: research