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Modern Nonparametric, Robust and Multivariate Methods, p. 47-68

DOI: 10.1007/978-3-319-22404-6_4

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Nonparametric Location Estimators in the Randomized Complete Block Design

Book chapter published in 2015 by Stefanie Hayoz ORCID, Jürg Hüsler
This paper is available in a repository.
This paper is available in a repository.

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Abstract

Other ; Several tests for the comparison of different groups in the randomized complete block design exist. However, there is a lack of robust estimators for the location difference between one group and all the others on the original scale. The relative marginal effects are commonly used in this situation, but they are more difficult to interpret and use by less experienced people because of the different scale. In this paper two nonparametric estimators for the comparison of one group against the others in the randomized complete block design will be presented. Theoretical results such as asymptotic normality, consistency, translation invariance, scale preservation, unbiasedness, and median unbiasedness are derived. The finite sample behavior of these estimators is derived by simulations of different scenarios. In addition, possible confidence intervals with these estimators are discussed and their behavior derived also by simulations.