Author: George Arthur Frederick SeberPublisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 132
Book Description
The Linear Hypothesis
Author: George Arthur Frederick SeberPublisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 132
Book Description
The Linear Hypothesis, Etc
Author: George Arthur Frederick SeberPublisher:
ISBN:
Category :
Languages : en
Pages : 115
Book Description
Parameter Estimation and Hypothesis Testing in Linear Models
Author: Karl-Rudolf KochPublisher: Springer Science & Business Media
ISBN: 3662039761
Category : Mathematics
Languages : en
Pages : 344
Book Description
A treatment of estimating unknown parameters, testing hypotheses and estimating confidence intervals in linear models. Readers will find here presentations of the Gauss-Markoff model, the analysis of variance, the multivariate model, the model with unknown variance and covariance components and the regression model as well as the mixed model for estimating random parameters. A chapter on the robust estimation of parameters and several examples have been added to this second edition. The necessary theorems of vector and matrix algebra and the probability distributions of test statistics are derived so as to make this book self-contained. Geodesy students as well as those in the natural sciences and engineering will find the emphasis on the geodetic application of statistical models extremely useful.
The Linear Model and Hypothesis
Author: George SeberPublisher: Springer
ISBN: 3319219308
Category : Mathematics
Languages : en
Pages : 208
Book Description
This book provides a concise and integrated overview of hypothesis testing in four important subject areas, namely linear and nonlinear models, multivariate analysis, and large sample theory. The approach used is a geometrical one based on the concept of projections and their associated idempotent matrices, thus largely avoiding the need to involvematrix ranks. It is shown that all the hypotheses encountered are either linear or asymptotically linear, and that all the underlying models used are either exactly or asymptotically linear normal models. This equivalence can be used, for example, to extend the concept of orthogonality to other models in the analysis of variance, and to show that the asymptotic equivalence of the likelihood ratio, Wald, and Score (Lagrange Multiplier) hypothesis tests generally applies.
The Linear Hypothesis, Information, and the Analysis of Variance
Author: Chester Hayden McCallPublisher:
ISBN:
Category :
Languages : en
Pages : 280
Book Description
Sample Size Choice
Author: Robert E. OdehPublisher: CRC Press
ISBN: 1000104710
Category : Mathematics
Languages : en
Pages : 215
Book Description
A guide to testing statistical hypotheses for readers familiar with the Neyman-Pearson theory of hypothesis testing including the notion of power, the general linear hypothesis (multiple regression) problem, and the special case of analysis of variance. The second edition (date of first not mentione
The Linear Model and Hypothesis
Author: George SeberPublisher:
ISBN: 9783319219318
Category : Linear models (Statistics)
Languages : en
Pages : 208
Book Description
This book provides a concise and integrated overview of hypothesis testing in four important subject areas, namely linear and nonlinear models, multivariate analysis, and large sample theory. The approach used is a geometrical one based on the concept of projections and their associated idempotent matrices, thus largely avoiding the need to involve matrix ranks. It is shown that all the hypotheses encountered are either linear or asymptotically linear, and that all the underlying models used are either exactly or asymptotically linear normal models. This equivalence can be used, for example, to extend the concept of orthogonality in the analysis of variance to other models, and to show that the asymptotic equivalence of the likelihood ratio, Wald, and Score (Lagrange Multiplier) hypothesis tests generally applies.
Sequential Tests of the Linear Hypothesis ...
Author: Osmer Sidney CarpenterPublisher:
ISBN:
Category : Analysis of variance
Languages : en
Pages : 114
Book Description
The linear hypothesis: a general theory London, C.Griffin
Author: George Arthur Frederick SeberPublisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages :
Book Description
Author: Gordon Fisher