TY  - JOUR
A1  - Matuschek, Hannes
A1  - Kliegl, Reinhold
A1  - Holschneider, Matthias
T1  - Smoothing Spline ANOVA Decomposition of Arbitrary Splines: An Application to Eye Movements in Reading
T2  - PLoS one
N2  - The Smoothing Spline ANOVA (SS-ANOVA) requires a specialized construction of basis and penalty terms in order to incorporate prior knowledge about the data to be fitted. Typically, one resorts to the most general approach using tensor product splines. This implies severe constraints on the correlation structure, i.e. the assumption of isotropy of smoothness can not be incorporated in general. This may increase the variance of the spline fit, especially if only a relatively small set of observations are given. In this article, we propose an alternative method that allows to incorporate prior knowledge without the need to construct specialized bases and penalties, allowing the researcher to choose the spline basis and penalty according to the prior knowledge of the observations rather than choosing them according to the analysis to be done. The two approaches are compared with an artificial example and with analyses of fixation durations during reading.
Y1  - 2015
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/39078
SN  - 1932-6203
VL  - 10
IS  - 3
PB  - PLoS
CY  - San Fransisco
ER  -