SECTION 17.3 Summary

• In multiple logistic regression the response variable has two possible values, as in logistic regression, but there can be several explanatory variables.
• As in multiple regression, there is an overall test for all the explanatory variables. The null hypothesis that the coefficients for all the explanatory variables are zero is tested by a statistic that has a distribution that is approximately with degrees of freedom equal to the number of explanatory variables. The -value is approximately .
• Hypotheses about individual coefficients, or in terms of the odds ratio, are tested by a statistic that is approximately with 1 degree of freedom. The -value is approximately . As in multiple regression, these tests assess the contribution of each explanatory variable given the other explanatory variables are already in the model.