| Affiliation: | (1) Research Centre for Cognitive Neuroscience, Department of Psychology, University of Auckland, Private Bag, 92019 Auckland, New Zealand;(2) University of Massachusetts, Amherst, Massachusetts |
| Abstract: | Conventionally, fitting a mathematical model to empirically derived data is achieved by varying model parameters to minimize the deviations between expected and observed values in the dependent dimension. However, when functions to be fit are multivalued (e.g., an ellipse), conventional model fitting procedures fail. A novel (n+1)-dimensional [(n+1)-D] model fitting procedure is presented which can solve such problems by transforming then-D model and data into (n+1)-D space and then minimizing deviations in the constructed dimension. While the (n+1)-D procedure provides model fits identical to those obtained with conventional methods for single-valued functions, it also extends parameter estimation to multivalued functions. |
