Chapter 1  Introduction to Statistics
  1.1  An Overview of Statistics
    1.1.1  A Definition of Statistics
    1.1.2  Research Objects and Properties of Statistics
    1.1.3  The Basic Process of Statistical Study
  1.2  Statistical Origin and Development
    1.2.1  Development History of Statistics
    1.2.2  Development Direction and Trend of Statistics
    1.2.3  Applications of Statistics in Various Fields
  1.3  Data Classification
    1.3.1  Types of Data
    1.3.2  Levels of Measurement
    1.3.3  Other Data Types
  1.4  Basic Concepts of Statistics
    1.4.1  Population and Sample
    1.4.2  Population Parameters and Sample Statistic
  Chapter Review
  Exercise
Chapter 2  Data Collection
  2.1  Methods of Data Collection
    2.1.1  Surveys
    2.1.2  Observation and Experiment
  2.2  Statistical Survey and Design
    2.2.1  Statistical Survey Plan Design
    2.2.2  Questionnaire Design
  2.3  Sampling Techniques
    2.3.1  Simple Random Sampling
    2.3.2  Stratified Sampling
    2.3.3  Cluster Sampling
    2.3.4  Systematic Sampling
    2.3.5  Non-probability Sampling
  2.4  Sampling Error and Non-Sampling Error
    2.4.1  Sampling Error
    2.4.2  Non-sampling Error
  Chapter Review
  Exercise
Chapter 3  Data Grouping and Data Graphing
  3.1  Frequency Distribution
    3.1.1  Definition of Frequency Distribution
    3.1.2  Construction of Frequency Distribution
    3.1.3  Cumulative Frequency and Cumulative Relative Frequency
  3.2  Graphs of Frequency Distributions
    3.2.1  Qualitative Data Visualization
    3.2.2  Quantitative Data Visualization
  3.3  More Graphs and Displays
    3.3.1  Stem-and-leaf Plot
    3.3.2  Dot Plot
    3.3.3  Box Plot
    3.3.4  Scatter Plot
  Chapter Review
  Exercise
Chapter 4  Charaeteristies of Data Distribution
  4.1  Measures of Center
    4.1.1  Meaning of Measures of Center
    4.1.2  Mean, Median and Mode
  4.2  Measures of Variability
    4.2.1  Significance of Measures of Variability
    4.2.2  Range, Interquartile Range and Mean Absolute Deviation
    4.2.3  Variance and Standard Deviation
    4.2.4  Coefficient of Variation
  4.3  Skewness and Kurtosis
    4.3.1  Moment
    4.3.2  Skewness Coefficient
    4.3.3  Kurtosis Coefficient
  Chapter Review
  Exercise
Chapter 5  Probability Basis
  5.1  Basic Concepts of Probability
    5.1.1  Random Experiments and Events
    5.1.2  Set Theory
    5.1.3  Types of Probability
  5.2  Addition Rule and Multiplication Rule
    5.2.1  Addition Rule
    5.2.2  Conditional Probability
    5.2.3  Multiplication Rule
    5.2.4  Independent Events
  5.3  Discrete Probability Distributions
    5.3.1  Probability Distribution
    5.3.2  Binomial Distribution
    5.3.3  Geometric Distribution
    5.3.4  Poisson Distribution
  5.4  Common Probability Distributions
    5.4.1  Normal Distribution
    5.4.2  Standard Normal Distribution
    5.4.3  Characteristics of Normal Distribution and Its Applications
  5.5  Other Sampling Distributions and Central Limit Theorem
    5.5.1  Other Sampling Distributions
    5.5.2  Central Limit Theorem
  Chapter Review
  Exercise
Chapter 6  Parameter Estimation
  6.1  Sampling Distribution
    6.1.1  Basic Concepts of Sampling
    6.1.2  Sampling Distribution
  6.2  Point Estimation and Evaluation Criteria
  6.2  . I  Point Estimation
    6.2.2  Evaluation Criteria for Estimates
  6.3  Interval Estimation
    6.3.1  Relations of Interval Estimation to Population Mean
    6.3.2  Relations of Interval Estimation to Population Proportion
  6.4  Determination of Sample Size
    6.4.1  Determination of Sample Size When Estimating Population Mean
    6.4.2  Determination of Sample Size When Estimating Population Proportion ~
  Chapter Review
  Exercise
Chapter 7  Hypothesis Testing
  7.1  Basic Questions about Hypothesis Testing
    7.1.1  The Concept of Hypothesis Testing
    7.1.2  Steps of Hypothesis Testing
    7.1.3  p-value
    7.1.4  Comparison of Two-tailed Test to One-tailed Test
    7.1.5  Two Types of Errors
    7.1.6  The Power of the Statistical Test
  7.2  Tests for the Population Mean
    7.2.1  When the Variance is Known
    7.2.2  When the Variance is Unknown
  7.3  Hypothesis Testing of Population Proportion
  7.4  Hypothesis Testing of Two Population Parameters
    7.4.1  Test for Difference Between Two Population Means
    7.4.2  Hypothesis Testing for the Difference Between Two Population Proportions
    7.4.3  Tests for the Ratio of Two Population Variances
  Chapter Review
    5.3.3  Geometric Distribution
    5.3.4  Poisson Distribution
  5.4  Common Probability Distributions
    5.4.1  Normal Distribution
    5.4.2  Standard Normal Distribution
    5.4.3  Characteristics of Normal Distribution and Its Applications
  5.5  Other Sampling Distributions and Central Limit Theorem
    5.5.1  Other Sampling Distributions
    5.5.2  Central Limit Theorem
  Chapter Review
  Exercise
Chapter 6  Parameter Estimation
  6.1  Sampling Distribution
    6.1.1  Basic Concepts of Sampling
    6.1.2  Sampling Distribution
  6.2  Point Estimation and Evaluation Criteria
    6.2.1  Point Estimation
    6.2.2  Evaluation Criteria for Estimates
  6.3  Interval Estimation
    6.3.1  Relations of Interval Estimation to Population Mean
    6.3.2  Relations of Interval Estimation to Population Proportion
  6.4  Determination of Sample Size
    6.4.1  Determination of Sample Size When Estimating Population Mean
    6.4.2  Determination of Sample Size When Estimating Population Proportion "
  Chapter Review
  Exercise
Chapter 7  Hypothesis Testing
  7.1  Basic Questions about Hypothesis Testing
    7.1.1  The Concept of Hypothesis Testing
    7.1.2  Steps of Hypothesis Testing
    7.1.3  p-value
    7.1.4  Comparison of Two-tailed Test to One-tailed Test
    7.1.5  Two Types of Errors
    7.1.6  The Power of the Statistical Test
  7.2  Tests for the Population Mean
    7.2.1  When the Variance is Known
    7.2.2  When the Variance is Unknown
  7.3  Hypothesis Testing of Population Proportion
  7.4  Hypothesis Testing of Two Population Parameters
    7.4.1  Test for Difference Between Two Population Means
    7.4.2  Hypothesis Testing {or the Difference Between Two Population Proportions
    7.4.3  Tests for the Ratio of Two Population Variances
  Chapter Review
  Exercise
Chapter 8  Correlation Analysis and Regression Analysis
  8.1  Correlation Analysis
    8.1.1  Relationship Between Variables
    8.1.2  Description and Measurement of Correlation
    8.1.3  Significant Test of Correlation Coefficient
  8.2  Simple Linear Regression Analysis
    8.2.1  Definition of Regression
    8.2.2  Simple Linear Regression Model
    8.2.3  Estimates of Simple Regression Function
    8.2.4  Significance Test for a Single Population Parameter
    8.2.5  Prediction
  8.3  Multiple Regression Analysis
    8.3.1  Multiple Regression Model
    8.3.2  Find A Multiple Regression Equation
    8.3.3  Predict the Dependent Variable y
    8.3.4  Coefficient of Multiple Determination
    8.3.5  Significance Test
  Chapter Review
  Exercise
Appendix
  Appendix A  Standard Normal Distribution
  Appendix B  Student-t Distribution
  Appendix C  F Distribution
References