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Representation of ANOVA models with vectors and vector spaces
Author(s) -
Verdooren L. R.
Publication year - 1969
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1969.tb00073.x
Subject(s) - mathematics , representation (politics) , analysis of variance , statistics , variance (accounting) , accounting , politics , political science , law , business
Summary The use of vectors and vector spaces for the representation of the fixed‐effects models for the analysis of variance (ANOVA) is well‐known. This representation gives a clear understanding of the estimation and hypothesis testing problems. A similar representation can be used for the random‐effects models and some mixed models. As a result the distribution and the expectation of the mean squares in the ANOVA table can easily be derived.