Type I Error Rates of the Kenward-Roger F-test for a Split-Plot Design with Missing Values and Non-Normal Data

Authors

Miguel A. Padilla, Old Dominion UniversityFollow
YoungKyoung Min, Korea Foundation for the Advancement of Science and CreativityFollow
Guili Zhang, East Carolina UniversityFollow

Abstract

The Type I error of the Kenward-Roger (KR) F-test was assessed through a simulation study for a between- by within-subjects split-plot design with non-normal ignorable missing data. The KR-test for the between- and within-subjects main effect was robust under all simulation variables investigated and when the data were missing completely at random (MCAR). This continued to hold for the between-subjects main effect when data were missing at random (MAR). For the interaction, the KR F-test performed fairly well at controlling Type I under MCAR and the simulation variables investigated. However, under MAR, the KR F-test for the interaction only provided acceptable Type I error when the within-subjects factor was set at 3 and 5% missing data.

DOI

10.22237/jmasm/1225512180