An Adjusted Likelihood Ratio Test for Separability in Unbalanced Multivariate Repeated Measures Data

Details An Adjusted Likelihood Ratio Test for Separability in Unbalanced Multivariate Repeated Measures Data An Adjusted Likelihood Ratio Test for Separability in Unbalanced Multivariate Repeated Measures Data

2011-01-17

arxiv.org/abs/1101.3231v2

Statistical Methodology (2010) 7, 511-519

Statistics

Methodology

Scientific paper

We propose an adjusted likelihood ratio test of two-factor separability (Kronecker product structure) for unbalanced multivariate repeated measures data. Here we address the particular case where the within subject correlation is believed to decrease exponentially in both dimensions (e.g., temporal and spatial dimensions). However, the test can be easily generalized to factor specific matrices of any structure. A simulation study is conducted to assess the inference accuracy of the proposed test. Longitudinal medical imaging data concerning schizophrenia and caudate morphology illustrates the methodology.

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