Orthogonal parallel-flats designs for hierarchical models
Journal
Statistics and Probability Letters
Journal Volume
46
Journal Issue
4
Pages
329-335
Date Issued
2000
Author(s)
Abstract
Orthogonal designs are very popular in many experimental studies because of their optimality properties, ease of analysis, and ease of interpretation. In this paper, we prove a necessary and sufficient condition for a parallel-flats design to be orthogonal for estimating the factorial effects of hierarchical models for general s1n1×s2n 2××sgng mixed factorial experiments, where s1,s2,...,sg are assumed to be distinct primes. Some examples are given to illustrate the results. © 2000 Elsevier Science B.V.
Orthogonal designs are very popular in many experimental studies because of their optimality properties, ease of analysis, and ease of interpretation. In this paper, we prove a necessary and sufficient condition for a parallel-flats design to be orthogonal for estimating the factorial effects of hierarchical models for general s1n1×s2n 2××sgng mixed factorial experiments, where s1,s2,...,sg are assumed to be distinct primes. Some examples are given to illustrate the results. © 2000 Elsevier Science B.V.
SDGs
Type
journal article