Xijcentered
Xijcentered is a data preprocessing concept used to center a two-dimensional data array by removing row and column effects, thereby emphasizing interaction structure within the data. It is commonly applied in statistical analyses, matrix factorization, and data visualization where the goal is to study deviations from additive effects.
Definition and computation: Given a matrix X with rows i = 1,…,m and columns j = 1,…,n, compute
Origins and usage: The approach is related to two-way centering and double-centering techniques used in multivariate
Applications and limitations: Xijcentered is used to prepare data for methods that assume zero-mean row and
See also: double-centering, centering, two-way ANOVA, matrix normalization.