1989
DOI: 10.3758/bf03202796
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Sampling distributions of the entropy in visual scanning

Abstract: Identifying true statistical dependencies in visual-scanning data involves showing that the observed scanning pattern is significantly more ordered than that which would be produced by a stratified random-sampling model. In the past, entropy has been used as the index to measure statistical order or dependency. Due to the unknown nature ofthe underlying sampling distributions of entropy, however, researchers have had to use relatively less powerful nonparametric statistical tests to determine significance. In … Show more

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Cited by 12 publications
(6 citation statements)
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“…61771335. the observation of eye movement at time t X t naturally depends on the previous X t−1 in probability. That is, the observation of eye movement X t can be predicted by its past X t−1 in terms of probability [7]. Note that, the headeye coordination mentioned above indeed points out that, the observation of eye movement X t is dependent on the past of head motion Y t−1 to some degree.…”
Section: Introductionmentioning
confidence: 84%
“…61771335. the observation of eye movement at time t X t naturally depends on the previous X t−1 in probability. That is, the observation of eye movement X t can be predicted by its past X t−1 in terms of probability [7]. Note that, the headeye coordination mentioned above indeed points out that, the observation of eye movement X t is dependent on the past of head motion Y t−1 to some degree.…”
Section: Introductionmentioning
confidence: 84%
“…Transition entropy H t provides a measure of statistical dependency in the spatial pattern of fixations represented by the transition matrix, and is used to compare one matrix to another. Weiss et al [1989] note that a small H t suggests a dependency between fixation points, while a large H t suggests a more random scanning pattern. That is, entropy refers to the "expected surprise" of a given gaze transition.…”
Section: Gaze Transition Entropymentioning
confidence: 93%
“…GTE examines fixation sequence complexity through the analysis of gaze transition matrices ( 59 ). GTE assumes that fixation locations in a scan sequence are better predicted from current and previous locations through a conditional probability ( 71 ). High GTE indicates complex pattern of sequential scanning behaviour, which typically involves more frequent switching between more AOIs ( 4 ; 59 ).…”
Section: Introductionmentioning
confidence: 99%