Eikosstatistics & data science

Experimental Design & Data Collection · Survey Sampling & Estimation

Sampling theory: Complex designs and variance estimation

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Theoretical Statistics

Overview

Topics covered

  • Introduction
  • Complex Survey Designs
  • Finite Populations and Overpopulation Models
  • The Overpopulation Approach
  • Structure of a Complex Survey Design
  • The Data Structure of a Complex Survey

Related concepts

Main connections

  • Variance & standard deviation
  • Unsupervised learning & clustering
  • Bootstrap resampling
  • Survey sampling methods
  • Median & robust location
  • Mean & expected value

Compatible notation

Mathematical sample in LaTeX

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

p(s)≥0∀s⊆𝒰Y∑s⊆𝒰p(s)=1
View LaTeX sourcep(s) \geq 0 \quad \forall s \subseteq \mathcal{U} \quad \text{Y} \quad \sum_{s \subseteq \mathcal{U}} p(s) = 1