Level changes and trend resistance in LN2p4q orthogonal arrays

P. C. Wang*

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

4 Scopus citations


Fractional factorial designs of mixed levels two and four are often carried out in industrial experiments. A convenient method to set up such designs is to use orthogonal arrays. By applying the technique of replacement to two-level orthogonal arrays, mixed-level orthogonal arrays can be established for practical applications. Treatment combinations for the experiment can be obtained by assigning factors to appropriate columns. However, when level changes in subsequent experimental runs and trend resistance of certain effects are considered, caution must be taken on replacement in order to minimize the cost of level changes and to achieve trend resistance. In this paper, level changes and the degree of trend resistance in the resulting column from the replacement are explored. When such information is available, the assignment becomes easier. Two applications are presented for illustrations.

Original languageEnglish
Pages (from-to)471-479
Number of pages9
JournalStatistica Sinica
Issue number2
StatePublished - 1996
Externally publishedYes


  • Hadamard product
  • Level changes
  • Orthogonal arrays
  • Replacement
  • Trend resistance


Dive into the research topics of 'Level changes and trend resistance in LN2p4q orthogonal arrays'. Together they form a unique fingerprint.

Cite this