統計學
Statistics
| 節 | 週一 | 週四 |
|---|---|---|
2 09:00–09:50 | 統計學 EF104 | |
5 13:20–14:10 | 統計學 EF104 2 節連堂 | |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
Solving many types of engineering problems requires an appreciation of variability and some understanding of how to use both descriptive and analytical tools in dealing with variability. Statistics is concerned with variability and its impact on decision making. This is an introductory course in engineering statistics. We focus on meeting the needs of engineering students by allowing them to concentrate on the applications of statistics to their disciplines. Consequently, examples and exercises are engineering based, and in almost all cases, we have used a real problem setting or the data either from a published source or from consulting experience.
Calculus.
1. The projector and the blackboard will be used at class for this course. 2. The teaching materials are mainly extracted from Chapters 1 ~ 6 of the textbook. 3. Please only download rather than print out the pdf files of the references from the website of our university library. 4. It is strongly recommended to buy the textbook for your better study of this course! 5. Please do not print out any materials relevant to the textbook whose copyright is by Wiley!
作業部份: 1. Homework Assignments 1: 10 Exercises selected from Sections 4-4 ~ 4-8; due at 3:10 p.m. on Monday, May 1, 2023 (the 12th academic week). 2. Homework Assignments 2: 10 Exercises selected from Sections 5-2 ~ 5-6; due at 3:10 p.m. on Monday, May 22, 2023 (the 15th academic week). 3. Homework Assignments 3: 2 Exercises selected from Section 6-2; due at 3:10 p.m. on Monday, June 12, 2023 (the 18th academic week). 考試部份: None. 評量部份: 1. Homework Assignments 1: 30%. 2. Homework Assignments 2: 30%. 3. Homework Assignments 3: 40%.
- Chapter 1. The Role of Statistics in Engineering
- Chapter 2. Data Summary and Presentation
- Chapter 3. Random Variables and Probability Distributions
- Chapter 4. Decision Making for a Single Sample
- Chapter 5. Decision Making for Two Samples
- Chapter 6. Building Empirical Models
| 週次 | 主題 |
|---|---|
| 第 1 週 | CHAPTER 1 The Role of Statistics in Engineering 1-1 The Engineering Method and Statistical Thinking 1-2 Collecting Engineering Data |
| 第 2 週 | 1-3 Mechanistic and Empirical Models 1-4 Observing Processes Over Time CHAPTER 2 Data Summary and Presentation 2-1 Data Summary and Display |
| 第 3 週 | 2-2 Stem-and-Leaf Diagram 2-3 Histograms |
| 第 4 週 | 2-4 Box Plot 2-5 Time Series Plots 2-6 Multivariate Data |
| 第 5 週 | CHAPTER 3 Random Variables and Probability Distributions 3-1 Introduction 3-2 Random Variables 3-3 Probability 3-4 Continuous Random Variables 3-5 Important Continuous Distributions |
| 第 6 週 | 3-6 Probability Plots 3-7 Discrete Random Variables 3-8 Binomial Distribution 3-9 Poisson Process 3-10 Normal Approximation to the Binomial and Poisson Distributions 3-11 More than One Random Variable and Independence 3-12 Functions of Random Variables 3-13 Random Samples, Statistics, and the Central Limit Theorem |
| 第 7 週 | CHAPTER 4 Decision Making for a Single Sample 4-1 Statistical Inference 4-2 Point Estimation 4-3 Hypothesis Testing |
| 第 8 週 | |
| 第 9 週 | 4-4 Inference on the Mean of a Population, Variance Known |
| 第 10 週 | 4-5 Inference on the Mean of a Population, Variance Unknown 4-6 Inference on the Variance of a Normal Population |
| 第 11 週 | 4-7 Inference on a Population Proportion 4-8 Other Interval Estimates for a Single Sample 4-9 Summary Tables of Inference Procedures for a Single Sample |
| 第 12 週 | Homework Assignments 1: 10 Exercises selected from Sections 4-4 ~ 4-8; due at 3:10 p.m. on Monday, May 1, 2023 (the 12th academic week). CHAPTER 5 Decision Making for Two Samples 5-1 Introduction 5-2 Inference on the Means of Two Populations, Variances Known 5-3 Inference on the Means of Two Populations, Variances Unknown |
| 第 13 週 | 5-4 The Paired t-Test 5-5 Inference on the Ratio of Variances of Two Normal Populations |
| 第 14 週 | 5-6 Inference on Two Population Proportions 5-7 Summary Tables for Inference Procedures for Two Samples |
| 第 15 週 | Homework Assignments 2: 10 Exercises selected from Sections 5-2 ~ 5-6; due at 3:10 p.m. on Monday, May 22, 2023 (the 15th academic week). CHAPTER 6 Building Empirical Models 6-1 Introduction to Empirical Models 6-2 Simple Linear Regression 6-2.1 Least Squares Estimation |
| 第 16 週 | 6-2.2 Testing Hypotheses in Simple Linear Regression 6-2.3 Confidence Intervals in Simple Linear Regression 6-2.4 Prediction of a Future Observation |
| 第 17 週 | 6-2.5 Checking Model Adequacy 6-2.6 Correlation and Regression |
| 第 18 週 | Homework Assignments 3: 2 Exercises selected from Section 6-2; due at 3:10 p.m. on Monday, June 12, 2023 (the 18th academic week). |
Textbook: Montgomery, D. C., Runger, G. C., and Hubele, N. F. (2011). Engineering Statistics, Fifth Edition, SI Version. Wiley (Asia). References: 1. Heiberger, R. M. and Holland, B. (2015). Statistical Analysis and Data Display: An Intermediate Course with Examples in R, Second Edition. Springer Science+Business Media. 2. Magrab, E. B. (2022). Engineering Statistics: An Introduction. Springer.
- 地點
- A416
- 時間
- Every Thursday from 10:10 a.m. to 12:00 p.m.
- 聯絡方式
- crchen@nycu.edu.tw (03)571-2121 Ext. 31794 or (03)573-1794