A Novel Mixture Model for Characterizing Human Aiming Performance Data

@article{Li2022ANM,
  title={A Novel Mixture Model for Characterizing Human Aiming Performance Data},
  author={Yanxi Li and Derek S. Young and Julien Gori and Olivier Rioul},
  journal={ArXiv},
  year={2022},
  volume={abs/2209.15615}
}
Summary . Fitts’ law is often employed as a predictive model for human movement, especially in the field of human-computer interaction. Models with an assumed Gaussian error structure are usually adequate when applied to data collected from controlled studies. However, observational data (often referred to as data gathered “in the wild”) typically display noticeable positive skewness relative to a mean trend as users do not routinely try to minimize their task completion time. As such, the… 

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References

SHOWING 1-10 OF 28 REFERENCES

On the Measurement of Movement Difficulty in the Standard Approach to Fitts' Law

It is shown that because there is no such thing as a zero-difficulty movement, the IDs of the literature run on non-ratio scales of measurement, and advocated the trade-off paradigm, a recently proposed alternative, which is immune to this criticism.

Extending Fitts' law to two-dimensional tasks

It is demonstrated that Fitts' law can break down and yield unrealistically low ratings for a task's index of difficulty (ID), and the Shannon formulation is shown to partially correct this problem.

Two Large Open-Access Datasets for Fitts’ Law of Human Motion and a Succinct Derivation of the Square-Root Variant

A succinct derivation of the square-root variant of Fitts' law using optimal control theory is presented and three models that relate motion duration to the ratio of target distance over target size are compared.

Characterizing computer input with Fitts' law parameters-the information and non-information aspects of pointing

  • Shumin Zhai
  • Computer Science
    Int. J. Hum. Comput. Stud.
  • 2004

The information capacity of the human motor system in controlling the amplitude of movement.

  • P. Fitts
  • Psychology
    Journal of experimental psychology
  • 1954
The motor system in the present case is defined as including the visual and proprioceptive feedback loops that permit S to monitor his own activity, and the information capacity of the motor system is specified by its ability to produce consistently one class of movement from among several alternative movement classes.

What are the shapes of response time distributions in visual search?

This paper presents the raw RT distributions and fit several psychologically motivated functions (ex-Gaussian, ex-Wald, Gamma, and Weibull) to the data, and analyzes and interpret parameter trends from these four functions within the context of theories of visual search.

Exponentially modified Gaussian (EMG) relevance to distributions related to cell proliferation and differentiation.

  • A. Golubev
  • Biology
    Journal of theoretical biology
  • 2010

Finite Mixture Models

  • P. Deb
  • Mathematics
    Encyclopedia of Autism Spectrum Disorders
  • 2021
Finite mixture models provide a natural way of modeling continuous or discrete outcomes that are observed from populations consisting of a finite number of homogeneous subpopulations. Applications of

Reaction times can reflect habits rather than computations

It is demonstrated that RTs are influenced by prior experience: when a previously performed task required a specific RT to support task success, this biased the RTs in future tasks, similar to the use-dependent biases observed for other movement parameters such as speed or direction.

Microarray background correction: maximum likelihood estimation for the normal–exponential convolution

A complete mathematical development is given of the normexp model and the associated saddle-point approximation, and a practical and reliable algorithm is developed for exact maximum likelihood estimation (MLE) using high-quality optimization software and using the saddle- point estimates as starting values.