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T1 Scaling: A Mathematical Programming Approach to Thurstonian Scaling (Classic Reprint) - Softcover

 
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Excerpt from T1 Scaling: A Mathematical Programming Approach to Thurstonian Scaling

When the objects share a common characteristic that is not directly measurable, such as l'beauty or softness, the ordering of the objects must depend upon some subjective estimate of the common characteristic exhibited by each object. In order to facilitate the process of ordering the objects along a continuum without an apparent scale, the method of paired comparisons is used to exact a set of relative judgments from an observer. Thus, for any given pair of objects the observer is required only to judge which of the two exceeds the other with respect to the underlying characteristic. This set of pairwise judgments is used to determine scale values with interval properties.

The law of comparative judgment established thetheoretical foundations for Thurstone's judgment scaling model. Each object, when presented to the observer, acts as a stimulus which excites a certain discriminal process within the observer. Due to changing conditions in the experimental situation or fluctuations within the observer, the same stimulus might trigger a slightly different process, such that the position of th stimulus on the specific psychological continuum is not always the same. For example, an observer's subjective estimate of the beauty of an object might be different when presented with the object a second time, on account of the observer's mood, the time of day, or the temperature of his surroundings.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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  • PublisherForgotten Books
  • Publication date2018
  • ISBN 10 1332283861
  • ISBN 13 9781332283866
  • BindingPaperback
  • LanguageEnglish
  • Number of pages53

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James M. Lattin
Published by Forgotten Books, 2018
ISBN 10: 1332283861 ISBN 13: 9781332283866
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Paperback. Condition: New. Print on Demand. This book focuses on a novel technique for determining scale estimates from paired comparisons data. Statistical models used in human judgment and scaling often rely on data reflecting underlying linear models that may not be present. This book presents a new method, TI Scaling, that utilizes L1 linear approximations and is more robust against the influence of inconsistencies in the data. The author demonstrates the sensitivity of the technique and compares it to the least squares estimates, providing multiple examples from the literature. The book concludes by emphasizing the significance of the method, particularly when dealing with data that may contain inconsistencies. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332283866_0

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