Logit function

Calculators and formulas for the Logit function, the inverse function of the Sigmoid function

Calculate the Logit function


This page contains an online calculator for the logit function. The logit function is the inverse function of the logistic sigmoid function.


Calculator Logit function

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Argument
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 Result

Logit curve

The curve of the logit function

Formulas for the logit function


The logit function is the inverse function of the logistic sigmoid function or S function. The following figure shows the S-shaped graph of the sigmoid function.

The logit function is described by the following equations.


\(\displaystyle sig^{-1}(y)= -ln\left(\frac{1}{y}-1\right)\) \( = ln\left(\frac{y}{1-y}\right)\) \(=2·arctanh(2·y-1)\)


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