Listy Biometryczne - Biometrical Letters Vol. 32(1995), No. 2, 93-99


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ON PERPENDICULARITY IN DESIGNED EXPERIMENTS

Radosław Kala

Department of Mathematical and Statistical Methods,
Agricultural University of Poznań, Wojska
Polskiego 28, 60-637 Poznań, Poland


The term of orthogonality is frequently used to describe some properties of experimental designs or referring to uncorrelated random variables. The spectrum of notions connected with the orthogonality concept in the theory of experimental designs contains such terms as geometrical orthogonality (Tjur, 1984), or strict and weak orthogonalities (Khatri and Shah, 1986). In all these cases the common notion of orthogonality was modified to describe some regularity in experimental plans. In this paper the geometrical interpretations of these properties are exhibited.