TY - JOUR
T1 - The overparameterized analysis of variance model
AU - Green, Samuel
AU - Marquis, Janet G.
AU - Thompson, Marilyn S.
AU - Hershberger, Scott L.
AU - McCollam, Karen M.
PY - 1999/6
Y1 - 1999/6
N2 - Analyses of variance (ANOVA) with the general linear model (GLM) in many standard statistical packages use an overparameterized model, a model unfamiliar to most behavioral science researchers. Estimates and significance tests with GLM procedures are calculated by computing generalized inverses and estimates of estimable functions. Using simple examples, the authors discuss the concepts that underlie the solutions for 1-way and 2-way ANOVAs with overparameterized models and illustrate how these models allow one to evaluate the research hypotheses. The authors also extend the discussion of overparameterized models to a more general modeling approach than GLM, the general linear mixed model.
AB - Analyses of variance (ANOVA) with the general linear model (GLM) in many standard statistical packages use an overparameterized model, a model unfamiliar to most behavioral science researchers. Estimates and significance tests with GLM procedures are calculated by computing generalized inverses and estimates of estimable functions. Using simple examples, the authors discuss the concepts that underlie the solutions for 1-way and 2-way ANOVAs with overparameterized models and illustrate how these models allow one to evaluate the research hypotheses. The authors also extend the discussion of overparameterized models to a more general modeling approach than GLM, the general linear mixed model.
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U2 - 10.1037/1082-989X.4.2.214
DO - 10.1037/1082-989X.4.2.214
M3 - Article
AN - SCOPUS:0033416083
SN - 1082-989X
VL - 4
SP - 214
EP - 233
JO - Psychological Methods
JF - Psychological Methods
IS - 2
ER -