Business Statistics (商业统计学)


1. Introduction (简介)

Business Statistics (商业统计学)

  • Application of statistics in business and economics.
  • 在商业和经济中应用统计学。

Purpose (目的)

  • Collecting, analyzing, presenting, and interpreting data.
  • 收集、分析、展示与解释数据。

2. Overview of Lecture 3 (第3讲概览)

Topics (主题)

  • Applications in business & economics (商业与经济中的应用)
  • Data & data sources (数据与数据来源)
  • Descriptive statistics (描述统计)
  • Inferential statistics (推断统计)
  • Excel for statistics (Excel 的应用)

3. Definition of Statistics (统计学的定义)

Statistics (统计学)

  • Art & science of handling data.
  • 关于数据处理的艺术与科学。

Process (过程)

  • Create dataset (创建数据集)
  • Edit functions & formulas (编辑函数与公式)
  • Collect & present results (收集与展示结果)

4. Descriptive Statistics (描述统计)

Definition (定义)

  • Summarize data in tabular, graphical, or numerical form.
  • 用表格、图形或数值总结数据。

Example (例子)

  • GPA differences between male & female students.
  • 男生与女生 GPA 的差异。

5. Inferential Statistics (推断统计)

Concepts (核心概念)

  • Population (总体)
  • Sample (样本)
  • Use sample data to estimate population characteristics.
  • 用样本推测总体特征。

6. Excel for Data Analysis (Excel 数据分析)

Basic Functions (基础函数)

  • AVERAGE (均值)
  • MEDIAN (中位数)
  • MODE (众数)
  • RANGE (极差)

Advanced Functions (高级函数)

  • Correlation & covariance (相关与协方差)
  • Regression (回归)
  • Distribution functions (分布函数)

7. Elements, Variables, and Observations (元素、变量与观测值)

Elements (元素)

  • Entities studied / 收集数据的对象

Variables (变量)

  • Characteristics of elements / 元素的特征

Observations (观测值)

  • Set of measurements per element / 每个元素的一组数据

8. Scales of Measurement (测量尺度)

Nominal (名义尺度)

  • Labels or names / 分类或标签
  • Example: WTO status (成员/观察员)

Ordinal (顺序尺度)

  • Order or rank is meaningful / 排序有意义
  • Example: Credit rating (AAA → F)

Interval (区间尺度)

  • Equal intervals, no true zero / 等距,无绝对零点
  • Example: SAT scores, Celsius temperature

Ratio (比率尺度)

  • Equal intervals, absolute zero / 等距,有绝对零点
  • Example: Income, weight, study credits

9. Data Types (数据类型)

Categorical Data (类别数据)

  • Qualitative / 定性
  • Nominal or ordinal scale / 名义或顺序尺度

Quantitative Data (数量数据)

  • Discrete (离散): how many
  • Continuous (连续): how much

10. Data Collection Forms (数据收集形式)

Cross-sectional Data (横截面数据)

  • Collected at one point in time / 同一时间点收集
  • Example: WTO nations’ GDP in one year

Time Series Data (时间序列数据)

  • Collected over time / 跨时间段收集
  • Example: U.S. gasoline prices 2012–2018

11. Data Sources (数据来源)

Observational Study (观察性研究)

  • No control of variables / 不操纵变量
  • Example: Walmart customer survey

Experimental Study (实验性研究)

  • Variables controlled / 控制变量
  • Example: 1954 polio vaccine trial

12. Data Acquisition Considerations (数据获取注意事项)

  • Time requirement (时间需求)
  • Cost of acquisition (获取成本)
  • Data errors (数据错误)

13. Descriptive Statistics in Practice (实际中的描述统计)

Usage (用途)

  • Common in newspapers, magazines, company reports
  • 常见于报纸、杂志、公司报告

Numerical Descriptive Statistics (数值描述统计)

  • Mean (均值)
  • Median (中位数)
  • Mode (众数)

14. Statistical Inference (统计推断)

Key Concepts (核心概念)

  • Population (总体)
  • Sample (样本)
  • Census (普查)
  • Sample survey (抽样调查)
  • Use samples to test hypotheses / 用样本检验假设

15. Analytics (分析方法)

Descriptive Analysis (描述性分析)

  • What happened in the past / 总结过去发生的事

Predictive Analysis (预测性分析)

  • Forecast based on models / 基于模型预测未来

Prescriptive Analysis (规范性分析)

  • Best course of action / 推荐最佳行动方案

16. Big Data and Data Warehousing (大数据与数据仓储)

Big Data (大数据)

  • Large, complex datasets / 庞大而复杂的数据集
  • Example: Walmart 30 million transactions/day

Data Warehousing (数据仓储)

  • Capturing, storing, maintaining data
  • 捕捉、存储与维护数据

17. Data Mining (数据挖掘)

Concept (概念)

  • Converting data into useful information
  • 将数据转化为有用信息

Applications (应用)

  • Retail, finance, communications
  • 零售、金融、通信

Requirements (要求)

  • Regression, correlation, AI, machine learning
  • 回归、相关分析、人工智能、机器学习

Reliability (可靠性)

  • Avoid overfitting, validate with training & test sets
  • 避免过拟合,使用训练集和测试集验证