统计分析及建模

统计分析及建模（48课时/3学分）

Statistical Analysis and Modeling (48 hours/3 credits)

课程描述：

本课程统计学的第一门课程，面向有统计学应用倾向的学生。它将讨论常用统计方法，如置信区间、假设检验、均值和比例推断以及线性回归。虽然很多内容在中学都学过，我们的目的是使学生对这些基础理论有更深入的数学理解。为了理解这些统计方法，我们将在医学、科学、技术、政府、商业和制造等领域的一系列问题进行应用并说明。这里我们主要利用统计软件R进行统计计算。本课程涵盖的主题包括基本概率和随机变量、基本分布、均值和比例推断、独立样本和配对样本的比较、简单线性回归、诊断和模型检查、多元线性回归、简单因子模型、具有因子和连续预测因子的模型。

  This is a first course in Statistics for mathematically inclined students. It will address the key principles underlying commonly used statistical methods such as confidence intervals, hypothesis tests, inference for means and proportions, and linear regression. It will develop a deeper mathematical understanding of these ideas, many of which will be familiar from studies in secondary school. The application of basic and more advanced statistical methods will be illustrated on a range of problems from areas such as medicine, science, technology, government, commerce, and manufacturing. The use of the statistical package R will be developed through a sequence of computer practical. Topics covered will include basic probability and random variables, fundamental distributions, inference for means and proportions, comparison of independent and paired samples, simple linear regression, diagnostics and model checking, multiple linear regression, simple factorial models, models with factors and continuous predictors.