Logit Function Calculator
Calculators and formulas for the Logit function, the inverse function of the Sigmoid function
This page contains an online calculator for the logit function. The logit function is the inverse function of the logistic sigmoid function.
To perform the calculation, enter the argument and click the 'Calculate' button.
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The curve of the logit function
Description and formulas for the logit function
The logit function (also log odds function) is the inverse of the sigmoid function, which represents values from 0 to 1.
Mathematically, logit is the natural logarithm of the ratio of probability to counterprobability (odds). The logit function is described by the following equations. :
\(\displaystyle sig^{-1}(y)= -ln\left(\frac{1}{y}-1\right)\) \(\displaystyle = ln\left(\frac{y}{1-y }\right)\) \(=2·arctanh(2·y-1)\)
Where \(y\) is the probability. The natural logarithm with base \(e\) is most commonly used.
The logit function is used in logistic regression as a special case of a link function in one generalized linear model used. It is the canonical link function for the Bernoulli distribution¹².
The logit function has diverse applications in data analysis and machine learning, especially in data transformations.
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