Modelling repeated paired phoneticmeasures using linear mixed models withcorrelated errors

Abstract

In Phonetic Sciences, statistical analysis from experimental data have to be carried out to confirm or disconfirm hypotheses. In this paper, a phonetic data set is considered and phonetic research questions are addressed. To answer these questions, a mixed model is built using a complex random effects structure and a non-diagonal residual variance-covariance matrix. Then, it is validated on the data. Finally, we focus on statistical tests in the final model allowing to compare the means between two groups of subjects, and a single mean to a reference value. The paper is accessible to an audience experienced with linear models. Some familiarity with the R software is also helpful.