An empirical cumulative distribution function (ECDF) plot is a data visualization that displays the proportion (or count) of observations falling below each observed value, plotted as a step function. It shows the cumulative distribution of a single variable without assuming any parametric form, making it a non-parametric representation of the data's distribution. The y-axis shows the cumulative proportion from 0 to 1 (or 0% to 100%), and the x-axis shows the sorted observed values. Each data point creates a step upward, and the function is right-continuous by convention. ECDF plots are used for comparing distributions, assessing fit to theoretical distributions, identifying outliers, and visualizing the full empirical distribution rather than summary statistics alone. [formal: ecdf | substrate: mind | horizon: a moment | explicit: yes | epoch: 0.01]
Accepted ontology entry
ecdf plot
An empirical cumulative distribution function (ECDF) plot is a data visualization that displays the proportion (or count) of observations falling below each observed value, plotted as a step function. It shows the cumulative distribution o…
Definition
Why it is in scope
An empirical cumulative distribution function plot is a human-made graphical method that plots the proportion of data points less than or equal to each value as a right-continuous step function, constructed by sorting observations and computing cumulative proportions — a deterministic method for visualizing the full shape of an empirical distribution without assuming any parametric form, persisting through statistical software implementations and standard exploratory data analysis practice.
Names and aliases
- ecdf ploten · CANONICAL
Relations from this entry
- cmsk6gz0j03yknobp6dik93doINSTANCE_OF →
An ecdf plot IS a specific kind of diagnostic plot: it diagnoses data distribution by visualizing the empirical cumulative distribution against a theoretical one, revealing skew, outliers, and deviations from expected patterns. Specific→general INSTANCE_OF.
- cmsfj1tjj07d33vv3k8lgqtytDERIVED_FROM →
ECDF plot is derived from the cumulative distribution function concept — it plots the empirical CDF of data. The CDF existed first and fed into the creation of ECDF plots.
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Record identity
- Created
- Aug 8, 2026, 8:20 AM UTC
- Content hash
- f3c04d781b76eaa9b83debf8cbbcca4497b488af7a5421f582066bf663095897