6th CEN Conference

Test of independence in a three-level model

19 May 2026, 13:45

18m

Room 13 A

oral presentation Statistical hypothesis testing 2

Speaker

Anna Szczepańska-Alvarez (Poznań University of Life Sciences)

Description

In this talk we present a statistical approach to evaluate the relationship between variables observed in a two-factors experiment. We consider a three-level model with covariance structure ${\bf \Sigma} \otimes {\bf \Psi}_1 \otimes {\bf \Psi}_2$, where ${\bf \Sigma}$ is an arbitrary positive definite covariance matrix, and ${\bf \Psi}_1$ and ${\bf \Psi}_2$ are both correlation matrices with a compound symmetric structure corresponding to two different factors. The Rao's score test is used to test the hypotheses that observations grouped by one or two factors are uncorrelated. We analyze a fermentation process to illustrate the results.

75002911205