Simultaneous confidence intervals for the interpretation of primary and secondary effects in factorial designs without a pre-test on interaction

03/28/2022

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by   Ludwig A. Hothorn, et al.

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The analysis of low dimensional factorial designs with possible interactions is a relevant issue. Instead of the common pre-tests for interaction, a simultaneous inference procedure of the primary factor at the respective level of the secondary factor as well as pooled over all its levels is proposed.