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统计质量控制

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Overview

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《统计质量控制》是东南大学机械工程学院的一门研究生选修课，是研究统计学的一般理论和方法在社会、自然、经济、工程等各个领域的应用以及在应用中遇到的具体问题的统计学解决方法，它是统计学和其他学科之间形成的交叉学科也是理论统计学发展的源泉。同时，《统计质量控制》是一门和实际生产紧密结合的应用性课程。随着国内各企业国际化进程的不断推进，国外企业的一些先进而规范的管理方法不断得到借鉴和采用。这些管理方法中包含了很多《统计质量控制》中所教内容。

Syllabus

1. Introduction

2. Random Sampling and Data Description

2.1 Random Sampling
2.2 Numerical Summary of Data
2.3 Data Describing by Figures

3. Continuous Distributions

3.1 Normal Distribution
3.2 Exponential Distribution and Gamma Distribution
3.3 Weibull Distribution and Lognormal Distribution
3.4 Probability Plot

4. Discrete Distributions

4.1 Binomial Distribution
4.2 Geometric Distribution and Negative Binomial Distribution
4.3 Hypergeometric Distribution and Poisson Distribution

5. Point Estimation of Parameters

5.1 Introduction of Point Estimation
5.2 Method of Point Estimation
5.3 Lifetime Distribution Fitting

6. Statistical Intervals for a Single Sample

6.1 Confidence Interval on the Mean of a Normal Distribution, Variance Known
6.2 Other Confidence Intervals about the Mean of a Distribution
6.3 Confidence Intervals of the Variance and Population Proportion
6.4 Prediction Intervals and Tolerance Intervals

7. HypothesisTesting

7.1 Introduction about Hypothesis Testing
7.2 P-values and OC-curves
7.3 Other Hypothesis Testing 1
7.4 Other Hypothesis Testing 2

8. Statistical Inference for Two Samples

8.1 Statistical Inference about Difference in Means of Two Distributions
8.2 Paired Test and Inference on Other Parameters
8.3 Analysis of Variance and Multiple Comparison

9. Methods and Philosophy of SPC

9.1 Background of SPC
9.2Statistical Basis of Control Charts
9.3 Implementation Example of Control Charts

10. Control Charts for Variables

10.1 X bar chat and R Chart
10.2 X bar chat and S Chart
10.3 Process Capability

11. Control Charts for Attributes

11.1 P chart and np Chart
11.2 C chart and U Chart

12. Simple Linear Regression

12.1 Regression Model and Method of Least Squares
12.2 Hypothesis Tests in Simple Linear Regression
12.3 Estimation and Prediction using Regression Model
12.4 More about Simple Linear Regression

期末考试

Taught by

Zhisheng Zhang and Yifan Zhou

Tags

china

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