TY  - GEN
AU  - Seber,George A.F.
TI  - Linear model and hypothesis : : a general unifying theory 
T2  - Springer series in statistics
SN  - 9783319219295
U1  - 000SA.062 23
PY  - 2015///
CY  - Switzerland
PB  - Springer
KW  - Linear models (Statistics)
KW  - Statistical hypothesis testing.
KW  - Mathematical statistics
N1  - 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
N2  - 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
ER  -