Experimental Design & Data Collection · Survey Sampling & Estimation

Simple random sampling — Comprehensive theory

Public introduction · full guide in Eikos

Introduction

What this guide covers

An exhaustive and formally rigorous exposition of the most basic design of probabilistic sampling: combinatorial foundations, unbiased estimators, theoretical variances, determination of sample size and exercises solved with complete development.

Overview

Topics covered

  • Introduction
  • Sampling Theory: Simple Random Sampling
  • 01 Basic Concepts and General Theoretical Framework
  • 1.1 Population and Sampling Frame
  • 1.2 Population Parameters
  • 1.3 Sample Design and Inclusion Probabilities

Related concepts

Main connections

  • Variance & standard deviation
  • Survey sampling methods
  • Mean & expected value
  • Confidence interval
  • Unsupervised learning & clustering
  • Epidemiological measures & risk ratios

Compatible notation

Mathematical sample in LaTeX

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

Population total:Y=∑i=1Nyi
View LaTeX source\text{Population total:} \quad Y = \sum_{i=1}^{N} y_i