Characterizing experimental designs by properties of the standard quadratic forms of observations

• Autorzy: Czesław Stępniak
• Języki publikacji: EN

Abstrakty

EN

For any orthogonal multi-way classification, the sums of squares appearing in the analysis of variance may be expressed by the standard quadratic forms involving only squares of the marginal and total sums of observations. In this case the forms are independent and nonnegative definite. We characterize all two-way classifications preserving these properties for some and for all of the standard quadratic forms.

Kategorie tematyczne

• 62K10: Block designs
• 15A27: Commutativity
• 51E05: General block designs

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2007
• Tom: 34
• Numer: 1
• Strony: 39-45

Daty

wydano

2007

Twórcy

autor

Czesław Stępniak

• Institute of Mathematics, University of Rzeszów, Al. Rejtana 16A, 35-959 Rzeszów, Poland
• Statistics and Econometrics Unit, Maria Curie-Skłodowska University, Pl. Marii Curie-Skłodowskiej 5, 20-031 Lublin, Poland

Identyfikatory

DOI

10.4064/am34-1-4