Ein Beitrag zur Analyse von Zeitreihen: Die Quotientenmethode, eine Variante der "Variate Difference" Methode
Ergänzung zu Â?Ein Beitrag zur Analyse von Zeitreihen: Die Quotientenmethode, eine Variante der 'Variate Difference' Methode", Metrika, Vol. 16, 1970, Fasc. 2 - 3
Error analysis of a pairwise summation algorithm to compute the sample variance.
Estimation de certaines interactions en analyse de variance
Estimation of covariance components in a repeated regression experiment
Estimation of Error Variance in One-Way Random Model.
Estimation of the variance components in the linear regression model
Estimation of variance components in mixed linear models
The MINQUE of the linear function of the unknown variance-components parameter in mixed linear model under linear restrictions of the type is defined and derived. As an illustration of this estimator the example of the one-way classification model with the restrictions , where , is given.
Estimation of variance components in random models
Estimators and tests for variance components in cross nested orthogonal designs
Explicit expressions of UMVUE for variance components are obtained for a class of models that include balanced cross nested random models. These estimators are used to derive tests for the nullity of variance components. Besides the usual F tests, generalized F tests will be introduced. The separation between both types of tests will be based on a general theorem that holds even for mixed models. It is shown how to estimate the p-value of generalized F tests.
Étude d'un modèle factoriel d'analyse de la variance comme modèle linéaire généralisé
Étude géométrique de l'analyse de la variance multidimensionnelle
Exact distribution for the generalized F tests
Generalized F statistics are the quotients of convex combinations of central chi-squares divided by their degrees of freedom. Exact expressions are obtained for the distribution of these statistics when the degrees of freedom either in the numerator or in the denominator are even. An example is given to show how these expressions may be used to check the accuracy of Monte-Carlo methods in tabling these distributions. Moreover, when carrying out adaptative tests, these expressions enable us to estimate...
Explicit forms of block matrices in unbalanced cross classification
Extensions de l'analyse de la variance : l'analyse bayésienne des comparaisons