A Succinct Control Theory Derivation and New Experiments with the Square-Root Variant of Fitts' Law for Heterogeneous Targets

Siamak Faridani

EECS Department
University of California, Berkeley
Technical Report No. UCB/EECS-2013-39
May 1, 2013

http://www.eecs.berkeley.edu/Pubs/TechRpts/2013/EECS-2013-39.pdf

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.

Advisor: Ken Goldberg


BibTeX citation:

@mastersthesis{Faridani:EECS-2013-39,
    Author = {Faridani, Siamak},
    Title = {A Succinct Control Theory Derivation and New Experiments with the Square-Root Variant of Fitts' Law for Heterogeneous Targets},
    School = {EECS Department, University of California, Berkeley},
    Year = {2013},
    Month = {May},
    URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2013/EECS-2013-39.html},
    Number = {UCB/EECS-2013-39},
    Abstract = {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.}
}

EndNote citation:

%0 Thesis
%A Faridani, Siamak
%T A Succinct Control Theory Derivation and New Experiments with the Square-Root Variant of Fitts' Law for Heterogeneous Targets
%I EECS Department, University of California, Berkeley
%D 2013
%8 May 1
%@ UCB/EECS-2013-39
%U http://www.eecs.berkeley.edu/Pubs/TechRpts/2013/EECS-2013-39.html
%F Faridani:EECS-2013-39