In this work, we present a succinct derivation for the Square-Root model based on an explicit model from optimal control theory. Our derivation is intuitive and exact, makes fewer assumptions, and requires far fewer steps than the two-submovement derivation presented in Meyer et al. To compare the Square-Root model with statistical significance, we performed two extensive experiments with homogeneous and heterogeneous targets that appear in sequence on a plane. Later, we extend the two-parameter model to a more accurate three-parameter that increases the accuracy of the model over the two-parameter formulation. The succinct and intuitive derivation and new experimental results may enhance the appeal of the Square-Root model for design of systems and interfaces with heterogeneous targets.
Title
A Succinct Control Theory Derivation and New Experiments with the Square-Root Variant of Fitts' Law for Heterogeneous Targets
Published
2013-05-01
Full Collection Name
Electrical Engineering & Computer Sciences Technical Reports
Other Identifiers
EECs-2013-39
Type
Text
Extent
67 p
Archive
The Engineering Library
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