統計學導論

1　簡介　Introduction
- 1.1.1 What Is Statistics?
2　資料型態與描述　Organization and Description of Data
- 2.1.1 Main Types of Data
- 2.2.1 Describing Data by Tables and Graphs
  2.2.2 Discrete Data
  2.2.3 Continuous Data
- 2.3.1 Measures of Center
  2.3.2 Sample 100p-th percentile
- 2.4.1 Measures of Variation
  2.4.2 Sample interquartile range
3　二元資料　Descriptive Study of Bivariate Data
4　機率論　Probability
- 4.1.1 Introduction
- 4.2.1 Probability of an Event
  4.2.2 Probability Axiom
- 4.3.1 Methods of Assigning Probability
  4.3.2 Long-Run Relative Frequency
- 4.4.1 Event Relations
  4.4.2 Example
  4.4.3 Laws of Probability
- 4.5.1 Conditional Probability
  4.5.2 Independence
  4.5.3 Bayes Theorem
- 4.6.1 Random Sampling from a Finite Population
5　機率分配　Probability Distributions
- 5.1.1 Random Variables
  5.1.2 Example
- 5.2.1 Probability Distribution of a Discrete Random Variable
  5.2.2 Example
- 5.3.1 Expectation (Mean) of a Probability
  5.3.2 Example
  5.3.3 Variance and Standard Deviation
  5.3.4 Property of Expectation and Variance
- 5.4.1 Successes and Failures -- Bernoulli Trials
  5.4.2 Example
- 5.5.1 The Binomial Distribution
  5.5.2 The Mean and Standard Deviation of the Binomial Distribution
6　常態分配　The Normal Distribution
7　抽樣分配　Variation In Repeated Samples -- Sampling Distributions
- 7.1.1 Introduction
  7.1.2 Sampling Distribution
- 7.2.1 Distribution of The Sample Mean
  7.2.2 Central Limit Theorem
  7.2.3 Example
8　大樣本統計理論　Drawing Inferences From Large Samples
- 8.1.1 Introduction
- 8.2.1 Ponit Estimation
  8.2.2 Example
  8.2.3 Point Estimation of The Mean
  8.2.4 Determining the sample size
- 8.3.1 Confidence Interval
  8.3.2 Definition of a Confidence Interval for a Parameter
  8.3.3 Large Sample Confidence Interval for Mean
- 8.4.1 Testing Hypothesis
  8.4.2 Decision
  8.4.3 Rejection Region
  8.4.4 Type I Error and Type II Error
  8.4.5 The Error Probability
  8.4.6 P-value
  8.4.7 Large Sample Test for Mean
  8.4.8 Example
- 8.5.1 Inferences about a Population Proportion
  8.5.2 Point Estimation of a Population Proportion
  8.5.3 Confidence Interval for a Population Proportion
  8.5.4 Large Sample Tests About Population Proportion