Geodesic
Characterizing experimental designs by properties of the standard quadratic forms of observations
Czesław St/epniak1
1 Institute of Mathematics University of Rzeszów Al. Rejtana 16A 35-959 Rzeszów, Poland and Statistics and Econometrics Unit Maria Curie-Sk/lodowska University Pl. Marii Curie-Sk/lodowskiej 5 20-031 Lublin, Poland
Applicationes Mathematicae, Tome 34 (2007) no. 1, pp. 39-45

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/am34-1-4
Keywords: orthogonal multi way classification sums squares appearing analysis variance may expressed standard quadratic forms involving only squares marginal total sums observations forms independent nonnegative definite characterize two way classifications preserving these properties standard quadratic forms

Czesław St/epniak 1

1 Institute of Mathematics University of Rzeszów Al. Rejtana 16A 35-959 Rzeszów, Poland and Statistics and Econometrics Unit Maria Curie-Sk/lodowska University Pl. Marii Curie-Sk/lodowskiej 5 20-031 Lublin, Poland 
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Czesław St/epniak. Characterizing experimental designs
 by properties of the
 standard quadratic forms of observations. Applicationes Mathematicae, Tome 34 (2007) no. 1, pp. 39-45. doi: 10.4064/am34-1-4

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