Part I Descriptive Statistics
Unit 1 Statistics
1.1 What is Statistics?
1.1.1 Meanings of Statistics
1.1.2 Definition of Statistics
1.1.3 Types of Statistics
1.1.4 Applications of Statistics
1.2 The language of Statistics
1.2.1 Population and Sample
1.2.2 Kinds of Variables
1.3 Measurability and Variability
1.4 Data Collection
1.4.1 The Data Collection Process
1.4.2 Sampling Frame and Elements
1.5 Single-Stage Methods
1.5.1 Simple Random Sample
1.5.2 Systematic Sample
1.6 Multistage Methods
1.7 Types of Statistical Study
1.8 The Process of a Statistical Study
Glossary
Reading English Materials
Passage 1. What is Statistics?
Passage 2. From Data to Foresight
Problems
Unit 2 Descriptive Analysis of Single-Variable Data
2.1 Graphs, Pareto Diagrams, and Stem-and-Leaf Display
2.1.1 Qualitative Data
2.1.2 Quantitative Data
2.2 Frequency Distributions and Histograms
2.2.1 Frequency Distribution
2.2.2 Histograms
2.2.3 Cumulative Frequency Distribution and Ogives
2.3 Measures of Central Tendency
2.3.1 Finding the Mean
2.3.2 Finding the Median
2.3.3 Finding the Mode
2.3.4 Finding the Midrange
2.4 Measures of Dispersion
2.4.1 Sample Standard Deviation
2.5 Measures of Position
2.5.1 Quartiles
2.5.2 Percentiles
2.5.3 Other Measures of Position
2.6 Interpreting and Understanding Standard Deviation
2.6.1 The Empirical Rule and Testing for Normality
2.6.2 Chebyshev’s Theorem
Glossary
Problems
Unit 3 Descriptive Analysis of Bivariate Data
3.1 Bivariate Data
3.1.1 Two Qualitative Variables
3.1.2 One Qualitative and One Quantitative Variable
3.1.3 Two Quantitative Variables
3.2 Linear Correlation
3.2.1 Calculating the Linear Correlation Coefficient
3.2.2 Causation and Lurking Variables
3.3 Linear Regression
3.3.1 Line of Best Fit
3.3.2 Making Predictions
Reading English Materials
Passage 1. The First Regression
Passage 2. Simpson’s Paradox
Unit 4 Introduction to Probability
Unit 5 Discrete Probability Models
Unit 6 Discrete Probability Models
Unit 7 Sampling Distributions and CL
Part II Inferential Statistics
Unit 8 Introduction to Statistical Inferences
Unit 9 Inferences Involving One Population
Unit 10 Inferences Involving Two Populations
Unit 11 An Introduction to Simple Regression
Unit 12 Statistics and Data Science