Response Surface Analysis of Experiments with Random Blocks

Abstract

This article is concerned with the analysis of experiments arranged in blocks chosen at random. Estimates of the polynomial parameters in the associated response surface model are obtained free of blocks. Tests concerning the polynomial and random block effects are presented. Furthermore, the power of the test for the block effect is obtained using a certain approximation by Hirotsu (1979). A numerical example is given to illustrate the implementation of the proposed analysis. Keywords: Design moments; Fixed and random effects; Mixed model; Orthogonal blocking; Polynomial and block effects; Response surface model.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1988
Accession Number
ADA200829

Entities

People

  • Andre I. Khuri

Organizations

  • University of Florida

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Classification
  • Computing-Related Activities
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Military Research
  • Normal Distribution
  • Polynomials
  • Reaction Time
  • Statistics
  • Surface Analysis
  • Surfaces
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Regression Analysis.