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Evaluation of Incomplete Paired-Comparison Experiments

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Abstract:

Incomplete paired comparison is an important technique for color-imaging problems because it can avoid observers to compare every possible pairs since the number of paired comparisons for n stimuli is n(n-1)/2 which becomes prohibitive for large values of n. However, the experimental designer often struggles with questions such as what is the smallest limit the proportion of paired comparisons included that will still allow reliable estimations of scale values? Fortunately a Monte-Carlo computational simulation is carried out with a model of an ideal observer and the results shows that the proportion of paired comparisons that is included is more critical than the number of observers who make those observations [1]. This work aims to test the results from computational simulation with 25 real observers and 10 stimuli from the gray scale. The work suggests when each observer estimates the same proportion of paired comparisons included the more proportion of pairs and number of observers, the more accurate scale values will be produced and the proportion of pairs is more critical than the number of observers who make those observations, which quite agrees with the findings from the computational simulation. The work also suggests when the each observer estimates a different proportion of paired comparisons the more proportion of paired comparisons will not always produce a more accurate scale values.

Document Type: Research Article

Publication date: January 1, 2011

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  • CIC is the premier annual technical gathering for scientists, technologists, and engineers working in the areas of color science and systems, and their application to color imaging. Participants represent disciplines ranging from psychophysics, optical physics, image processing, color science to graphic arts, systems engineering, and hardware and software development. While a broad mix of professional interests is the hallmark of these conferences, the focus is color. CICs traditionally offer two days of short courses followed by three days of technical sessions that include three keynotes, an evening lecture, and a vibrant interactive papers session. An endearing symbol of the meeting is the Cactus Award, given each year to the author(s) of the best interactive paper presentation.
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