statistics_index.md

CH1 introduction

1. The generation and development of statistics
2. Statistical research objects and research methods
3. The elements and content of the statistics
4. Summary
5. Test

(The last two section is always Summary and Test, i won't write them in next chapters)

CH2 Collection and collation of statistics

1. The concept of statistical survey and the design of the program
2. Methods and methods of statistical investigation
3. Questionnaire design
4. Statistical grouping
5. Frequency distribution and statistical tables

CH3 Concentration trends and discrete trends

1. Concentration trend measure
2. Discrete trend measure

CH4 Relative indicators and indices

1. Relative indicators
2. Index concept and classification
3. The method to generate general index
4. The Establishment and Application of Price Index in China
5. Evaluation, Improvement and Application of Index Factor Analysis

CH5 Probability

1. basic concept
2. Definition of frequency
3. The basic algorithm of Frequency
4. Probability Formula and Bayesian Theorem

CH6 Probability distributions

1. The basic problem of random variables and their probabilities
2. Probability Distribution of Three Common Discrete Random Variables
3. Normal distribution

CH7 Sampling and sampling distribution

1. Sampling and sampling of several basic concepts
2. Random sampling design
3. Sampling distribution of sample mean
4. The sampling distribution of the difference between the two samples
5. Sample size distribution
6. The sampling distribution of the difference between the two samples
7. t distribution and x^2 distribution and F distribution

CH8 Parameter Estimation

1. Parameter Estimation Overview
2. Estimation of the overall average
3. Interval estimation of the difference between the two overall averages
4. The overall ratio and the difference between the two overall ratios
5. Determination of sample size
6. Interval Estimation of Normal Population Variance and Two Normal Population Variance Ratio

CH9 hypothetical test

1. The basic problem of the hypothetical test
2. Hypothesis test of the overall average
3. Two overall mean difference hypothesis test
4. Overall ratio hypothesis test
5. General variance hypothesis test

CH10 Nonparametric statistics

1. The Concept and Characteristics of Nonparametric Statistics
2. X^2 test
3. Pairwise comparison test
4. Mann Whitney U test
5. Run test
6. Level-related test
7. Multiple samples test

CH11 Correlation analysis and regression analysis

1. related analysis
2. Linear regression analysis
3. Multiple linear regression analysis
4. Non - linear regression analysis
5. Problems of Application of regression prediction

CH12 Time series analysis and prediction

1. Time series decomposition method
2. Time series trend extrapolation method
3. Time series trend autoregressive prediction method

CH13 Statistical decision

1. General problem of statistical decision
2. Risk-based decision-making
3. Bayesian decision-making method
4. Uncertain decision-making method