Eikosstatistics & data science

Experimental Design & Data Collection · Survey Design & Psychometrics

Survey Design: Methodology and Theory of Error — Advanced Statistical Treatise

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Chart from the original guide Introduction Theoretical and Applied Statistics

Overview

Topics covered

  • Introduction
  • Error Theory and Survey Design
  • Introduction and Methodological Paradigm
  • Fundamentals of Sampling Theory
  • Probabilities of Inclusion
  • The Horvitz-Thompson Estimator

Related concepts

Main connections

  • Variance & standard deviation
  • Mean & expected value
  • Survey sampling methods
  • Unsupervised learning & clustering
  • Collinearity & VIF
  • Missing data & multiple imputation

Compatible notation

Mathematical sample in LaTeX

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

Y=∑i=1Nyi,Y‾=1N∑i=1Nyi,S2=1N−1∑i=1N(yi−Y‾)2
View LaTeX sourceY = \sum_{i=1}^{N} y_i, \qquad \bar{Y} = \frac{1}{N}\sum_{i=1}^{N} y_i, \qquad S^2 = \frac{1}{N-1}\sum_{i=1}^{N} (y_i - \bar{Y})^2