Statistics for Beginners in Excel – Logistic Distribution

(Basic Statistics for Citizen Data Scientist)

Logistic Distribution

The pdf of the Logistic distribution at location parameter µ and scale parameter β is

logistic distribution pdf

where β > 0. The cdf is

logistic distribution cdf

The inverse of the logistic distribution is

logistic distribution inverse function

The standard Gumbel distribution is the case where μ = 0 and β = 1.

Key statistical properties of the Logistic distribution are shown in Figure 1.


Logistic distribution propertiesFigure 1 – Statistical properties of the Logistic distribution


Figure 2 shows a graph of the Logistic distribution for different values of μ and β.


Logistic distribution chart

Figure 2 – Chart of Logistic distribution


Real Statistics Functions: The Real Statistics Resource Pack provides the following functions for the Logistic distribution.

LOGISTIC_DIST(x, μ, β, cum) = the pdf of the Logistic distribution f(x) when cum = FALSE and the corresponding cumulative distribution function F(x) when cum = TRUE.

LOGISTIC_INV(p, μ, β) = the inverse of the Logistic distribution at p


Classification in R – logistic regression for binary class classification in R


Statistics for Beginners in Excel – Logistic Distribution

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