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Excerpt from On the Estimation of Contrasts in Linear Models
1. Summary. In linear models with several observations per cell, a class of estimates of all contrasts are defined in terms of rank test statistics such as the Wilcoxon or normal scores statistic, which extend the results of Hodges and Lehmann (1963) and Lehmann The asymptotic efficiency of these estimates relative to the standard least squares estimates, as the number of observations in each cell gets large, is shown to be the same as the Pitman efficiency of the rank.
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On the Estimation of Contrasts in Linear Models (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book presents a fundamental contribution to statistics, offering a new method of estimating contrasts in linear models. The author presents these estimates in terms of rank test statistics such as the Wilcoxon or normal scores statistic, extending the results of previous leaders in the field. The book thoroughly examines the asymptotic efficiency of these estimates relative to the standard least squares estimates, which, as the number of observations in each cell gets large, demonstrates it to be the same as the Pitman efficiency of rank tests on which they are based. 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. Bestandsnummer des Verkäufers 9781333601225_0
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