Experimental Design & Data Collection · Survey Sampling & Estimation

Sampling theory · Computational application and case studies

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Chart from the original guide

Overview

Topics covered

  • Introduction
  • Sampling Theory
  • Fundamentals and vocabulary of inference by sampling
  • 1.1 · Estimators, bias and mean square error
  • The probabilistic framework: inclusion probabilities and the Horvitz–Thompson estimator
  • 2.1 · Hájek's estimator for the mean

Related concepts

Main connections

  • Variance & standard deviation
  • Unsupervised learning & clustering
  • Mean & expected value
  • Bootstrap resampling
  • Epidemiological measures & risk ratios
  • Monte Carlo simulation

Compatible notation

Mathematical sample in LaTeX

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

Total: ty=∑i∈Uyi,Mean: y‾U=1N∑i∈Uyi,
View LaTeX source\text{Total: } t_y=\sum_{i\in U} y_i, \qquad \text{Mean: } \bar{y}_U=\frac{1}{N}\sum_{i\in U} y_i,