The Wald test may be used to determine whether each explanatory variable is significantly related to the outcome of interest.
The deviance (LRS or -2log likelihood) is a measure of goodness of fit of the logistic model.
The deviance divided by the degrees of freedom is substantially greater than one if there is extra-Binomial variation.
The predictive efficiency of the model may be assessed by drawing a receiver operating curve (ROC) – the greater the area under the curve, the worse the model is at discriminating between outcomes.
A logistic regression coefficient with a large standard error may indicate collinearity when the explanatory variables are highly correlated.