Browsing by Author "Thompson, Paul"
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Item Balancing the requirements of the society, pig, and producer(2002-09-14) Thompson, Paul; Brewer, EdwardItem Brain and surface warping via minimizing Lipschitz extensions(2005-01) Memoli, Facundo; Sapiro, Guillermo; Thompson, PaulItem A Monte Carlo examination of external unfolding(1989) Thompson, PaulMonte carlo techniques were used to examine regression approaches to external unfolding. The present analysis examined the technique to determine if various characteristics of the points are recovered (such as ideal points). Characteristics of the situations were manipulated, including number of stimuli, error level, and measurement level. Generally, monotonic analyses resulted in good recovery. Recovery was poor when the data were generated by a weighted Euclidean process. Negative weights were commonly encountered, apparently due to error in the data. In this approach, estimation is done by statistical techniques, and some statistical concerns should be taken into account when examining the results. Index terms: external unfolding, monte carlo simulation, multidimensional scaling, nonmetric methods, parameter estimation, unfolding.Item Some missing data patterns for multidimensional scaling(1983) Thompson, PaulMost tasks used to gather information for multidimensional scaling analysis are quite difficult for people to perform. An experiment was run to determine if systematic limits existed in such data collection situations and to determine the form that these limitations assumed. The solution obtained from a complete ordering of stimuli to targets, using the conditional rank order paradigm, was compared to solutions obtained from certain partial orders, constructed from the complete orders by setting certain rankings equal. The partial orders were found to reproduce the complete order solution quite accurately when about one half of the information was eliminated. The information eliminated about similar items produced more differences in the obtained solutions than did the information about dissimilar stimuli. Suggestions about efficient techniques for gathering information for multidimensional scaling purposes are discussed.