6533b872fe1ef96bd12d4348

RESEARCH PRODUCT

A recap on Linear Mixed Models and their hat-matrices

Mariangela SciandraGianfranco Lovison

subject

Hat matriceComputer scienceMatrix algebra resultsLMMInference02 engineering and technologyToo quickly01 natural sciencesGeneralized linear mixed model010104 statistics & probability0202 electrical engineering electronic engineering information engineeringApplied mathematics020201 artificial intelligence & image processing0101 mathematicsEquivalence (measure theory)

description

This working paper has a twofold goal. On one hand, it provides a recap of Linear Mixed Models (LMMs): far from trying to be exhaustive, this first part of the working paper focusses on the derivation of theoretical results on estimation of LMMs that are scattered in the literature or whose mathematical derivation is sometimes missing or too quickly sketched. On the other hand, it discusses various definitions that are available in the literature for the hat-matrix of Linear Mixed Models, showing their limitations and proving their equivalence.

yearjournalcountryeditionlanguage
2017-01-01
http://hdl.handle.net/10447/290626