Nonparametric location estimators in the randomized complete block design

Hayoz, Stefanie; Hüsler, Jürg (2015). Nonparametric location estimators in the randomized complete block design. In: Nordhausen, Klaus; Taskinen, Sara (eds.) Modern Nonparametric, Robust and Multivariate Methods. Festschrift in Honour of Hannu Oja (pp. 47-68). Cham: Springer 10.1007/978-3-319-22404-6_4

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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.

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