ABSTRACT

This work details the statistical inference of linear models including parameter estimation, hypothesis testing, confidence intervals, and prediction. The authors discuss the application of statistical theories and methodologies to various linear models such as the linear regression model, the analysis of variance model, the analysis of covariance model, and the variance components model.

part 1|99 pages

Preliminary Results

chapter 1|7 pages

Introduction

chapter 2|61 pages

Matrix Theory

part 2|162 pages

Statistical Inferences

chapter 4|43 pages

Introduction to Linear Models

chapter 5|82 pages

Parameter Estimation

chapter 6|35 pages

Statistical Inferences

part 3|240 pages

Applications

chapter 7|96 pages

Linear Regression Models

chapter 8|66 pages

Analysis of Variance Models

chapter 9|30 pages

Analysis of Covariance Models

chapter 10|46 pages

Variance Components Models