Experimental Design & Data Collection · Survey Sampling & Estimation

Sampling Theory: Estimation with Auxiliary Information

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Advanced Technical Treatise

Overview

Topics covered

  • Introduction
  • Model-assisted inference versus classical inference
  • Assisted by Models
  • Based on Models
  • Conceptual framework, mathematical notation and Horvitz-Thompson estimator
  • 2.1 Sample Selection Mechanism

Related concepts

Main connections

  • Variance & standard deviation
  • Linear regression
  • Mean & expected value
  • Residual analysis & diagnostics
  • Survey sampling methods
  • Linear algebra & matrices

Compatible notation

Mathematical sample in LaTeX

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

πi=P(i∈s)=Ep[Ii]=∑s∋ip(s)
View LaTeX source\pi_i = P(i \in s) = E_p[I_i] = \sum_{s \ni i} p(s)