Eikosstatistics & data science

Experimental Design & Data Collection · Survey Sampling & Estimation

Sampling theory: Non-sampling errors and non-response

Public introduction · full guide in Eikos

Introduction

What this guide covers

Rigorous study of Total Survey Error (TSE), coverage bias, measurement errors, probabilistic non-response mechanisms, calibration weighting and multiple imputation models.

Overview

Topics covered

  • Introduction
  • Errors Unrelated to Sampling and Treatment of Non-Response
  • Error Taxonomy and the Total Survey Error (TSE) Framework
  • Coverage Error and Selection Bias
  • Structural Classification of Coverage Error
  • Mathematical Formulation of Undercoverage Bias

Related concepts

Main connections

  • Variance & standard deviation
  • Missing data & multiple imputation
  • Mean & expected value
  • Survey sampling methods
  • Confidence interval
  • Epidemiological measures & risk ratios

Compatible notation

Mathematical sample in LaTeX

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

MSE(θ^)=E[(θ^−θ)2]=Var(θ^)+[Bias(θ^)]2
View LaTeX source\text{MSE}(\hat{\theta}) = E[(\hat{\theta} - \theta)^2] = \text{Var}(\hat{\theta}) + [\text{Bias}(\hat{\theta})]^2