Baksalary, Jerzy K.; Kotarbińkis, Tadeusz; Pukelsheim, Friedrich Adjusted orthogonality properties in multiway block designs. (English) Zbl 0786.62077 Schach, Siegfried (ed.) et al., Data analysis and statistical inference: Festschrift in honour of Prof. Dr. Friedhelm Eicker. Bergisch Gladbach: Verlag Josef Eul. 413-420 (1992). Summary: We show that adjusted orthogonality properties are necessary and sufficient for a multiway block design to be uniformly optimal for estimating the treatment contrasts.For the entire collection see [Zbl 0771.00052]. Cited in 2 Documents MSC: 62K10 Statistical block designs 62K05 Optimal statistical designs Keywords:determining blocking factors; multiway \(C\)-matrix; adjusted orthogonality properties; multiway block design; uniformly optimal; treatment contrasts PDF BibTeX XML Cite \textit{J. K. Baksalary} et al., in: Data analysis and statistical inference: Festschrift in honour of Prof. Dr. Friedhelm Eicker. Bergisch Gladbach: Verlag Josef Eul. 413--420 (1992; Zbl 0786.62077)