Zur Versuchsplanung für Schätzungen im gemischten Modell der linearen Regression 1

Abstract The covariance matrix of the least‐squares‐estimator for the coefficients of the mixed model of linear regression is deduced. This serves as a base to work out procedures experimental design for point and confidence estimations of the regression coefficients and the regression function. So it was shown, that the C‐, A‐, D‐ and G‐optimal designs in the mixed model are the same as in model I. Further an assertion for sample size determination is proved especially for point estimation of the regression function.