Rank and Pseudo-Rank Procedures for Independent Observations in Factorial Designs by Edgar Brunner & Arne C. Bathke & Frank Konietschke

Author:Edgar Brunner & Arne C. Bathke & Frank Konietschke
Language: eng
Format: epub
ISBN: 9783030029142
Publisher: Springer International Publishing

An alternative to Holm’s step-down procedure is Hochberg’s step-up procedure (Hochberg 1988). However, it requires the assumption that the underlying test statistics are independent or exhibit certain forms of positive dependence. This is stated in the following assumptions.

Assumptions 4.20 (MTP2-Condition)

The statistics for testing the individual hypotheses or are either 1. independent or

2. have a certain form of positive dependence called multivariate of totally positive order 2 (MTP2).

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