Eikosstatistics & data science

Statistical Modeling & Regression · Non-Parametric Statistics

Comparison of k related samples in nonparametric statistics

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Non-Parametric Statistics · Block Designs and Repeated Measures

Overview

Topics covered

  • Introduction
  • Comparison of K related samples
  • Basics of related samples and block design
  • The Friedman test: structure and modeling
  • Contested Hypotheses
  • Rigorous mathematical derivation of the Friedman proof

Related concepts

Main connections

  • Hypothesis testing
  • Variance & standard deviation
  • Chi-squared tests & goodness of fit
  • Non-parametric tests
  • Mean & expected value
  • Quantiles & percentiles

Compatible notation

Mathematical sample in LaTeX

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

Yij=μ+τi+βj+εij,i=1,…,k;j=1,…,n
View LaTeX sourceY_{ij} = \mu + \tau_i + \beta_j + \varepsilon_{ij}, \quad i=1,\dots,k; \;\; j=1,\dots,n