Orthogonal exact designs on a sphere, a spherical cap, or a spherical belt

Yi Zhao, Kai-Tai Fang*

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

2 Citations (Scopus)


Fitting a sphere to a data set obtained by a coordinate measuring machine is a common practice in engineering, manufacturing industry and physical sciences. In practice, the locations on a spherical surface where measurement is performed could significantly affect the accuracy of the estimators of the center and the radius of the sphere. In this article, a model, that is different from the Berman model, is employed. Many orthogonal designs on a complete spherical feature, a spherical cap/belt are obtained.
Original languageEnglish
Pages (from-to)279-285
Number of pages7
JournalJournal of Statistical Planning and Inference
Issue number1-2
Early online date7 Aug 2001
Publication statusPublished - 1 Oct 2001
Externally publishedYes

Scopus Subject Areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

User-Defined Keywords

  • 62K05
  • 62K99
  • Coordinate measuring machine
  • Optimal design
  • Orthogonal design


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