Affiliation:
1. Institute of Crop Science Biostatistics Unit University of Hohenheim Stuttgart Germany
Abstract
AbstractThe coefficient of determination (R2) is a common measure of goodness of fit for linear models. Various proposals have been made for extension of this measure to generalized linear and mixed models. When the model has random effects or correlated residual effects, the observed responses are correlated. This paper proposes a new coefficient of determination for this setting that accounts for any such correlation. A key advantage of the proposed method is that it only requires the fit of the model under consideration, with no need to also fit a null model. Also, the approach entails a bias correction in the estimator assessing the variance explained by fixed effects. Three examples are used to illustrate new measure. A simulation shows that the proposed estimator of the new coefficient of determination has only minimal bias.
Funder
Deutsche Forschungsgemeinschaft
Subject
Statistics, Probability and Uncertainty,General Medicine,Statistics and Probability
Cited by
2 articles.
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