2022 · Statistics

Design of Experiments (DOE) Analysis

Statistics DOE R

Design of Experiments (DOE) Analysis

BITS Pilani | Sep 2022 – Dec 2022

R Factorial Design Response Surface ANOVA Process Optimization

Project Overview

Applied statistical design of experiments methodology to systematically optimize industrial processes, identifying optimal factor settings and interaction effects.

Key Contributions

Factorial Analysis: Designed and analyzed 2^k full factorial and fractional factorial experiments to identify significant main effects and interactions among process variables
Response Surface Optimization: Applied Response Surface Methodology (RSM) with Central Composite Design (CCD) to locate optimal operating conditions, improving process efficiency by 25%
Statistical Inference: Conducted ANOVA, regression diagnostics, and lack-of-fit tests to validate model adequacy and identify statistically significant effects (α = 0.05)

Technologies Used

  • Languages: R
  • Libraries: rsm, FrF2, DoE.base
  • Methods: Factorial Design, RSM, ANOVA
  • Visualization: contour plots, interaction plots

Key Results

MetricValue
Process Improvement25%
Design TypeCCD, 2^k Factorial
Significance Levelα = 0.05
Factors AnalyzedMultiple

DOE Workflow

1. Problem Definition → Response Variable Selection
2. Factor Identification → Screening Experiments
3. Full Factorial Design → Main Effects & Interactions
4. Response Surface Modeling → Optimization
5. Confirmation Runs → Validation