Probability & Statistical Inference · Descriptive Statistics & EDA

Descriptive statistics: Univariate descriptive analysis, frequency distributions, and tabulation

Public introduction · full guide in Eikos

Introduction

What this guide covers

Analytical foundation of data condensation, measurement theory and algorithmic systematization of univariate variability.

Overview

Topics covered

  • Introduction
  • Frequency Distributions and Advanced Tabulation
  • Introduction to Univariate Descriptive Analysis
  • Descriptive Statistics vs. Inference: The Reduction Process
  • Theory of Measurement Scales
  • Typology of Variables

Related concepts

Main connections

  • Variance & standard deviation
  • Calculus & differentiation
  • Binomial distribution
  • Quantiles & percentiles
  • Skewness & kurtosis
  • Mean & expected value

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

Fn(x)=1n∑i=1n𝕀(−∞,x](xi)
View LaTeX sourceF_n(x) = \frac{1}{n} \sum_{i=1}^{n} \mathbb{I}_{(-\infty, x]}(x_i)