绪论:简介 (2 学时)
统计学的起源及发展应用;统计学应用的成功案例。
Part 0: Introduction
Why study statistics
Example of statistical applications
第一部分:描述性统计(2 学时)
为何用描述性统计;各种数据类型;总结性统计量;可视化工具;实际应用。
Part 1: Descriptive Statistics
Why using descriptive statistics
Various types of data
Summary statistics, and visualization tools
Real applications
第二部分:概率基础(4 学时)
基本概念:样本空间及事件;维恩图;概率与条件概率;总概率定律和贝叶斯定理;实际应用
Part 2: Probability
Basic concepts: sample space, events
Venn Diagram and Laws of events
Probability of events, conditional probability
Law of total probability and Bayes’ theorem
Real applications
第三部分: 随机变量(4 学时)
基本概念;概率密度函数和分布函数;随机变量及其特征;实际应用
Part 3: Random Variables
Basic concepts
Probability density function and distribution functions
Examples of random variables, and their characteristics
Real applications
第四部分:参数估计:点估计和置信区间 (9 学时)
参数估计意义;样本均值和总体均值;偏差、方差和均方误差;置信区间的构建及其解释;实际应用
Part 4: Parameter Estimation: Point Estimator and Confidence Interval
Motivating examples
Sample mean and population mean
Bias, variance, and mean square errors
Construction of confidence interval, and their interpretation
Real applications
第五部分:假设检验(9 学时)
假设检验的概念与意义;I 型和 II 型错误,测试程序;实际应用
Part 5: Hypothesis Testing
Motivating examples
Concept of hypothesis testing