Linear model and hypothesis : a general unifying theory / George A.F. Seber.
Series: Springer series in statisticsPublication details: Switzerland : Springer, 2015.Description: ix, 205 p. ; 24 cmISBN:- 9783319219295
- 000SA.062 23 Se443
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 000SA.062 Se443 (Browse shelf(Opens below)) | Available | 136464 |
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| 000SA.062 L744 Linear models of optimal test design / | 000SA.062 R215 Linear models and generalizations | 000SA.062 Se439 Linear models / | 000SA.062 Se443 Linear model and hypothesis : a general unifying theory / | 000SA.062 Se476 Linear models an integrated approach | 000SA.062 W516 Linear mixed models : | 000SA.062 W516 Linear mixed models : |
Includes index.
1.Preliminaries.-
2. The Linear Hypothesis.-
3.Estimation.-
4.Hypothesis Testing.-
5.Inference Properties.-
6.Testing Several Hypotheses.-
7.Enlarging the Model.-
8.Nonlinear Regression Models.-
9.Multivariate Models.-
10.Large Sample Theory: Constraint-Equation Hypotheses.-
11.Large Sample Theory: Freedom-Equation Hypotheses.-
12.Multinomial Distribution.-
Appendix.-
Index.
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.
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