|
Provided by: Creascience Logistic RegressionStatistics |
![]() |
Logistic regression is a statistical tool used to assess the effect of several explanatory variables on a categorical response variable, that is a variable that can only take on a limited set of values. This situation is encountered often in several fields of applications. Here are a few examples of questions that can be adressed using logistic regression:
Whenever the response variable is binary, that is, it can only take on two values, logistic regression is used. Whenever the response variable is ordinal, for instance the severity of a disease, ordinal logistic regression is used. Finally, polytomous regression may also be used to study the relationship betwen a variable that can take on several unordered values and a set of explanatory variables.
Upon completion of this course, participants will be able to:
|
|
||||||||||||||||
- Introduction to Logistic Regression
- Goal: To Study the Relationship between a Categorical Variable and a Set of Explanatory Variables
- Why Does Ordinary Multiple Linear Regression Fail for the Analysis of a Categorical Response Variable?
- Refresher on Multiple Linear Regression
- Estimation of the Model
- Interpretation of the Coefficients of the Model Parameters
- Goodness-of-Fit and Validation Techniques
- Classical Case: a Binary Response Variable
- Basic Principle: Modeling the probability of observing a given value of the reponse variable
- Example
- Interpretation of Statistical Software Output: Coefficients and Mathematical Transformations, Odds Ratios, Statistical Testing of Model Coefficients
- Comparison of Logistic Regression Software Output with Multiple Linear Regression
- Goodness-of-Fit Measures: Nested Models, Cross-Validation Techniques
- Parallel with Discriminant Analysis
- Using the Model for Prediction
- Principle of Variable Selection
- Case of an Ordinal Response Variable: Ordinal Logistic Regression
- Case of a Nominal Response Variable: Polytomous Regression
- Practical Considerations
- Procedures Available in Statistical Software
- Implementation and Interpretation
- Summary

