caa a22 4500 475788532 CHVBK 20180406123705.0 cr unu---uuuuu 170329e20000601xx s 000 0 eng 10.1007/PL00008176 doi (NATIONALLICENCE)springer-10.1007/PL00008176 Dunn John C. Department of Psychiatry and Behavioural Science, University of Western Australia, WA, Australia, 6907; Tel.: +618 9346 2251; Fax: +618 9346 3828 E-mail: jdunn@cyllene.uwa.edu.au;, AU aut Model complexity: The fit to random data reconsidered [Elektronische Daten] [John C. Dunn] A recent controversy in the field of depth perception has highlighted an important aspect of model testing concerning a model's complexity, defined as the prior propensity of the model to fit arbitrary data sets. The present article introduces an index of complexity, called the mean minimum distance, defined as the average squared distance between an arbitrary data point and the prediction range of the model. It may also be expressed as a dimensionless quantity called the scaled mean minimum distance. For linear models, theoretical values for the scaled mean minimum distance and the variance of the scaled minimum distance can be readily obtained and compared against empirical estimates obtained from fits to random data. The approach is applied to resolving the question of the relative complexity of the Linear Integration model and the Fuzzy Logic of Perception model, both of which have been the subject of controversy in the field of depth perception. It is concluded that the two models are equally complex. Springer-Verlag Berlin Heidelberg, 2000 https://doi.org/10.1007/PL00008176 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00008176 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Dunn John C. Department of Psychiatry and Behavioural Science, University of Western Australia, WA, Australia, 6907; Tel.: +618 9346 2251; Fax: +618 9346 3828 E-mail: jdunn@cyllene.uwa.edu.au;, AU aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer