Experimental Design & Data Collection · Experimental Design & ANOVA

Design of experiments: Response surface methodology (RSM)

Public introduction · full guide in Eikos

Introduction

What this guide covers

Mathematical, geometric, statistical and computational analysis for the modeling, characterization and optimization of complex multivariate systems under experimental uncertainty.

Overview

Topics covered

  • Introduction
  • Response Surface Methodology (RSM)
  • Concepts and Philosophy of the MSR
  • Historical and Epistemological Foundations
  • The Philosophy of Sequential Optimization
  • Factor Space Geometry and Response Surfaces

Related concepts

Main connections

  • Linear algebra & matrices
  • Variance & standard deviation
  • Analysis of variance (ANOVA)
  • Calculus & differentiation
  • Linear regression
  • p-value & significance

Compatible notation

Mathematical sample in LaTeX

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

Y=f(x1,x2,…,xk)+ϵ
View LaTeX sourceY = f(x_1, x_2, \dots, x_k) + \epsilon