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For the logic regression model in equation 8, the goal is to find the Boolean expressions L j that minimize the binomial deviance, with the parameters β j and the Boolean expressions L j estimated simultaneously.
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The maximum likelihood estimates of b and tm were obtained by minimizing the binomial deviance of the model from the observed data.
Both models are trained with the same target variable: silver_attain, and try minimize the binomial deviance (Log Loss) of prediction error.
Here we use the binomial deviance loss, and enforce a maximum depth of 5 nodes in the individual decision trees.
No over-dispersion was found for the binomial deviance, which is expected to have a unit dispersion.
GLM is just a simple logistic regression where we optimize binomial deviance, where Error = silver_attain – prediction.
The statistical significance of a logistic regression result was obtained by comparing the deviance with the 'null deviance'.
Three patients were excluded because of inability to achieve lead impedances with less than threefold deviance with the first set.
Outcomes were compared from the fixed and random effects models and reported estimates from the model with a better fit, which was based on the deviance information criterion and comparing the residual deviance with the number of unconstrained data points.
With the R package "QuasiSeq" [ 93] (http://cran.rproject.org/web/packages/ QuasiSeq/index.html), quasi-negative binomial deviances of each gene were computed, and the normalized count data was fitted with a quasi-likelihood model.
With the exception of the survival analysis and the binomial generalized linear models, where the model output is reported, we followed model simplification by sequentially dropping the least significant term and comparing the change in deviance with and without the term to chi-square distributions until the minimal adequate model was reached.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com