A First Course in Linear Model Theory

ISBN-13: 9781439858059 / Angielski / Twarda / 2021 / 514 str.

Nalini Ravishanker; Dipak K. Dey

Opis

This second edition features several new topics that are extremely relevant to the current research in statistical methodology. Revised or expanded topics include analysis of covariance, Bayesian linear and generalized linear model, nonlinear regression, among others.

Spis treści

1. A Review of Vector and Matrix Algebra. 2. Properties of Special Matrices. 3. Generalized Inverses and Solutions to Linear Systems. 4. The General Linear Model. 5. Multivariate Normal and Related Distributions. 6. Sampling from the Multivariate Normal Distribution. 7. Inference for the General Linear Model-I. 8. Inference for the General Linear Model-II. 9. Multiple Linear Regression Models. 10. Fixed-Effects Linear Models. 11. Random-Effects and Mixed-Effects Models. 12. Generalized Linear Models. 13. Special Topics. 14. Miscellaneous Topics. Appendices.

O autorze

Nalini Ravishanker, Zhiyi Chi and Dipak K. Dey are Professors in the Department of Statistics at the University of Connecticut, Storrs, USA.