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Understanding Logistic Regression Coefficient Output:
Part 4 — Making Predictions
This article discusses making predictions using logistic regression. It is part 4 of a fivepart series focused on understanding and interpreting the logistic regression coefficient output table. Click here to see a brief summary of the focus of each of … Continue reading
Posted in Basic
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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 binary variable, logistic regression equation, logistic transform, odds
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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
Understanding Logistic Regression Output:
Part 3 — Assessing the Effects of the XVariables
In logistic regression, as in leastsquares regression, you often want to try to assess the effects of the independent variables on the dependent variable. In logistic regression, however, things are somewhat more complicated than in leastsquares regression as I explain … Continue reading
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
Understanding Logistic Regression Output:
Part 2 — Which Variables Matter
This article discusses one of the most important uses of the coefficient table, determining which variables matter. It is the second part of a fivepart series discussing the logistic regression output coefficient table and its uses. Click here to see … Continue reading
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
Understanding Logistic Regression Output:
Part 1 — The Coefficient Table
As with leastsquares linear regression, the most important part of the output of a logistic regression is the regression coefficient table. In this fivepart series of articles, which parallels and references the fivepart series reviewing the leastsquares regression coefficient table, … Continue reading
What is Ordinal Logistic Regression?
Ordinal Logistic Regression is logistic regression using an ordinal variable. An ordinal variable is a categorical variable where order matters. A variable that takes on the values of “very bad,” “bad,” “mediocre,” “good,” “very good” would be an example. The … Continue reading
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What is Nominal Logistic Regression?
Nominal Logistic Regression is logistic regression using a nominal variable as the dependent Y variable. The “nom” in “nominal’ comes from the Latin for “name” (not “number”) like in the word “nomenclature.” So a nominal variable is a variable whose … Continue reading