A modified path of steepest ascent for split-plot experiments

Scott M. Kowalski, Connie M. Borror, Douglas Montgomery

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


Response surface methodology is applied often in industrial experiments to find the optimal conditions for the design factors. Response surface methodology involves three main steps: screening potential factors, seeking a region around the global optimum using the path of steepest ascent, and estimating the true model for the response. Many of these experiments involve randomization restrictions and can be thought of as split-plot experiments. This paper investigates the path of steepest ascent within a split-plot structure. Three methods are proposed for calculating the coordinates along the path.

Original languageEnglish (US)
Pages (from-to)75-83
Number of pages9
JournalJournal of Quality Technology
Issue number1
StatePublished - Jan 1 2005


  • Lagrange Multiplier
  • Response Surface Methodology
  • Split-Plot

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Strategy and Management
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering


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