 # Assumption #1: Our dependent variable which is predict involuntary ...

## Question

Assumption #1: Our dependent variable which is predict involuntary psychiatric commitment to a state hospital (0 =No, 1 = Yes) is measured on dichotomous scale as we have only two groups of this variable such as “Yes” and “No”. So, this assumption is satisfied in order to perform logistic regression.

Assumption #2: We have three independent variables, in which two are continuous (educational level measured in years in school (EDUC)) and M and G Stress Test (STRESS) and other is categorical (minority status (0 =No, 1 = Yes). So, this assumption is satisfied in order to perform logistic regression.

Assumption #3: The observations are independent, and the dependent variable is mutually exclusive and exhaustive categories because there is no dependence structure between the observations. So, this assumption is satisfied in order to perform logistic regression.

Assumption #4: There is a linear relationship between any continuous independent variables and the logit transformation of the dependent variable. Box-Tidwell Test is used to test this assumption. Although logistic regression is often thought of as having no assumptions, we do assume that the relationships between the continuous predictors and the logit (log odds) is linear. This assumption can be tested by including in the model interactions between the continuous predictors and their logs. If such an interaction is significant, then the assumption has been violated.

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