Eikosstatistics & data science

Experimental Design & Data Collection · Survey Sampling & Estimation

Single-stage cluster sampling · Treatise on sampling theory

Public introduction · full guide in Eikos

Introduction

What this guide covers

In simple random sampling (MAS) and stratified sampling, the selection unit coincides with the observation unit: an individual is chosen and that individual is measured. Cluster sampling deliberately breaks that identity.

Overview

Topics covered

  • Introduction
  • One-stage cluster sampling
  • Nature and motivation of cluster sampling
  • Why clusters are used
  • One vs. two stages
  • Notation, population framework and target parameters

Related concepts

Main connections

  • Unsupervised learning & clustering
  • Variance & standard deviation
  • Mean & expected value
  • Survey sampling methods
  • Residual analysis & diagnostics
  • Calculus & differentiation

Compatible notation

Mathematical sample in LaTeX

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

Y^=Mm∑i∈syi=My‾c,y‾c=1m∑i∈syi
View LaTeX source\hat Y = \frac{M}{m}\sum_{i\in s} y_i = M\,\bar y_{c}, \qquad \bar y_c = \frac{1}{m}\sum_{i\in s} y_i