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Bayesian combination of two-dimensional location estimates
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Friedman, Alinda, Ludvig, Elliot Andrew, Legge, Eric L. G. and Vuong, Quoc C. (2013) Bayesian combination of two-dimensional location estimates. Behavior Research Methods, Volume 45 (Number 1). pp. 98-107. doi:10.3758/s13428-012-0241-x ISSN 1554-351X.
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Official URL: http://dx.doi.org/10.3758/s13428-012-0241-x
Abstract
We extend a Bayesian method for combining estimates of means and variances from independent cues in a spatial cue-combination paradigm. In a typical cue-combination experiment, subjects estimate a value on a single dimension-for example, depth-on the basis of two different cues, such as retinal disparity and motion. The mathematics for this one-dimensional case is well established. When the variable to be estimated has two dimensions, such as location (which has both x and y values), then the one-dimensional method may be inappropriate due to possible correlations between x and y and the fact that the dimensions may be inseparable. A cue-combination task for location involves people or animals estimating xy locations under two single-cue conditions and in a condition in which both cues are combined. We present the mathematics for the two-dimensional case in an analogous manner to the one-dimensional case and illustrate them using a numeric example. Our example involves locations on maps, but the method illustrated is relevant for any task for which the estimated variable has two or more dimensions.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QP Physiology |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Psychology | ||||
| Library of Congress Subject Headings (LCSH): | Bayesian statistical decision theory, Estimation theory, Variables (Mathematics), Cognitive neuroscience | ||||
| Journal or Publication Title: | Behavior Research Methods | ||||
| Publisher: | Springer-Verlag | ||||
| ISSN: | 1554-351X | ||||
| Official Date: | March 2013 | ||||
| Dates: |
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| Volume: | Volume 45 | ||||
| Number: | Number 1 | ||||
| Page Range: | pp. 98-107 | ||||
| DOI: | 10.3758/s13428-012-0241-x | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | Natural Sciences and Engineering Research Council of Canada (NSERC) |
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