The course consists of nine chapters divided into three parts. The first part contains three chapters that provide some preliminary results on matrix theory and multivariate normal and related distributions. Various linear models are also introduced through real examples in this part. The second part consists of two chapters on statistical inference of linear models, including parameter estimation, hypotheses testing, confidence intervals, and prediction. In the third part, the methodologies are applied to various linear models, such as the linear regression model, the analysis of variance model, the analysis of covariance model, the variance components model, and the mixed effect model. The course will emphasize the statistical and geometric motivation for the methods, the practical application of the methods, the implementation by Statistical software, and the interpretation of the results.
Statistics
统计学主要利用概率论建立数学模型，收集所观察系统的数据， 进行量化的分析、总结，并进而进行推断和预测，为相关决策提供依据和参考。 它以数学作为基本工具，但又比数学更有实际用途，可以对生活中大量的无序的数据进行分析，找出它们的规律，从而为研究、决策提供基本的依据 。
