Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Note on the ANOVA of a completely confounded factorial experiment

100%

Oktaba W.

Applicationes Mathematicae

2005

tom 32

nr 2

119-132

The purpose of this paper is to present a modern approach to the analysis of variance (ANOVA) of disconnected resolvable group divisible partially balanced incomplete block (GDPBIB) designs with factorial structure and with some interaction effects completely confounded. A characterization of a factorial experiment with completely confounded interaction is given. The treatment effect estimators and some relations between the matrix F of the reduced normal equations and the information matrix A are given. Moreover the ANOVA of the sum of squares for adjusted treatment effects and the matrix F with its eigenvalues and orthonormal eigenvectors for the case of a completely confounded factorial experiment are presented. A special form of a generalized inverse (g-inverse) of F is introduced (Theorems 3.2.1-3.2.4). The corresponding numerical example has been worked out by Oktaba (1956) and Oktaba, Rejmak and Warteresiewicz (1956) by applying Galois fields and congruences.

Estimation of the generalized variance in a bivariate normal distribution from an incomplete sample

63%

Oktaba W., Tarasińska J.

Applicationes Mathematicae

2001

tom 28

nr 2

143-149

The aim of the paper is estimation of the generalized variance of a bivariate normal distribution in the case of a sample with missing observations. The estimator based on all available observations is compared with the estimator based only on complete pairs of observations.

Ograniczanie wyników

2 Applicationes Mathematicae

2 Oktaba W.

1 Tarasińska J.

1 2005

1 2001

Wyniki wyszukiwania

Note on the ANOVA of a completely confounded factorial experiment

Estimation of the generalized variance in a bivariate normal distribution from an incomplete sample