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

James M. Lattin

Softcover

ISBN 10: 1332283861 ISBN 13: 9781332283866

Publisher: Forgotten Books, 2020

Synopsis

Excerpt from T1 Scaling: A Mathematical Programming Approach to Thurstonian Scaling We present a new technique, called T1, scaling, for determining scale estimates from paired comparisons data. We present the new method in conjunction with a sensitivity diagnostic that ascertains the extent to which intransitive elements in the data influence the scale estimates from the Thurstonian judgment scaling model. The T1 scale estimates, based upon the minimization of absolute deviations rather than least squares, are relatively insensitive to the presence of limited inconsistency. We apply the new solution technique, shown to be a straightforward minimum cost network, flow problem, to several scaling problems in the literature. When no single limited source of inconsistency is indicated, the scale estimates thus obtained are consistent with the least squares estimates. When isolated departures from the scaling model or possible data errors are present, the T, procedure remains largely insensitive to their presence, preserving the interval scale properties of the estimates. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com 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.

Edition details

• Publisher: Forgotten Books
• Publication date: 2020
• ISBN 10: 1332283861
• ISBN 13: 9781332283866
• Binding: Paperback
• Language: English
• Number of pages: 55