Tag Archives: odds

How to Solve the Logistic Regression Equation for the Probability p.

As discussed previously, in logistic regression the log odds is modeled as a linear function of the -variables. That is     To solve this equation for , we first apply the exponential function to both sides of the equation: … Continue reading

Posted in TheMath | Tagged , , , | 2 Comments

Logistic Regression Odds Ratio — The Math

In this article, I am going to show you why the odds ratio for an -variable in a logistic regression is simply the exponential of the regression coefficient. This article just contains “the math” and no interpretation. A discussion of … Continue reading

Posted in TheMath | Tagged , , , | 3 Comments

What is the Odds Ratio in Logistic Regression?

Most logistic regression software outputs (or can be asked to output) odds ratios along with the regression coefficients. These odds ratios are the exponential of the corresponding regression coefficient:     For example, if the logistic regression coefficient is the … Continue reading

Posted in FAQ | Tagged , , , | Leave a comment

What is the (Multivariate) Logistic Regression Equation?

In logistic regression, the log odds is modeled as a linear functions of the -variables. Thus, the logistic regression equation is:     Once the logistic regression has been “run,” the software will calculate estimates for , , , … … Continue reading

Posted in FAQ | Tagged , , | Leave a comment

About Odds and Odds Ratios

From Odds to Probability Related Articles: The Odds Ratio in Logistic Regression The Effects of the X-Variables in Logistic Regression We have all used the word “odds” to describe the probability of something. “Odds are it will rain tomorrow” means … Continue reading

Posted in Background | Tagged , , | 20 Comments