Avtomat. i Telemekh., 1976 Issue 5,Pages 64–73(Mi at7760)
Stochastic Systems
Algebraical method for study of correlations in balanced incomplete block design. I. Characterization of covariance matrices in the case of nonsymmetrical block design
Abstract:
Covariance matrices are characterized in nonsymmetrical balanced block design assuming that these matrices belong to a seven-dimensional relationship algebra of experiment plan [1]. The necessary and sufficient conditions are obtained for non singular symmetrical matrices, positive and negative definite matrices of this algebra.