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5 Lectures / 32 Sections / 22h 32m 45s
Lecture 1:Fundamental Sampling Distributions and Data Descriptions
Lecture 2:One and Two-Sample Estimation Problems
42:25
Section 2
43:28
30:35
31:37
31:18
Section 7
48:21
Section 8
44:16
Lecture 3:One- and Two-Sample Tests of Hypotheses
Lecture 4:Simple Linear Regression (summary)
01:21:37
49:00
42:53
Lecture 5:One-Factor Experiments: General (summary)
Introduction
Duration| 22h 32m 45s
Total Lectures| 5 Lectures 32 Sections

This course was taught in Chinese, and the videos include English captions.

Brief Description

This course emphasizes and illustrates the use of probabilistic models and statistical methodology that is employed in countless applications in industrial engineering. It gives the student an understanding of the logic behind statistical techniques as well as practice in using them.

Course keywords

機率論(Probability Theory); 抽樣分配(Sampling Distribution); 估計(Estimation); 假設檢定(Hypothesis Testing); 變異數分析(Analysis of Variance, ANOVA); 迴歸分析(Regression Analysis);

Course Description

This course emphasizes and illustrates the use of probabilistic models and statistical methodology that is employed in countless applications in industrial engineering. It gives the student an understanding of the logic behind statistical techniques as well as practice in using them.

Text Books

Walpole, R.E., Myers, R.H., Myers, S. L. and Ye, Keying (2016). Probability and
Statistics For Engineers and Scientists. (Global 9th edition). Pearson Education.

References

  1. Johnson, R. A. (2011). Probability and Statistics for Engineers (8th edition).
    Prentice-Hall Inc.
  2. Ross, S. M. (2009). Introduction to Probability and Statistics (4th edition).
    Elsevier Academic Press.
  3. Keller, G. and Warrack, B. (2005). Statistics for Management and Economics.
    Duxbury.
  4. Walpole, R.E., Myers, R.H., Myers, S. L. and Ye, Keying (2012). Probability and
    Statistics For Engineers and Scientists. (9th edition). Pearson Education.

Teaching Method

Lecturing and discussion

Syllabus

Chapter 8: Fundamental Sampling Distributions and Data Descriptions
Chapter 9: One and Two-Sample Estimation Problems
Chapter 10: One- and Two-Sample Tests of Hypotheses
Chapter 11: Simple Linear Regression and Correlation
Chapter 13: One-Factor Experiments: General
Chapter 14: Factorial Experiments: Two or More Factors (Optional)
Chapter 16: Nonparametric Statistics (Optional)

Evaluation

  1. Midterm Exam (30%)
  2. Final Exam (40%)
  3. Others (30%)
    • Quizzes
    • Class Participation
    • Homework assignments/Practices
Lectures
Lecture 1:Fundamental Sampling Distributions and Data Descriptions
Section 1 - Sampling Distributions - Concepts
36:15
Section 2 - Sampling Distribution of Xbar_CLT
35:41
Section 3 - Sampling Distribution of Xbar1-Xbar2
29:58
Section 4 - Sampling Distribution of S2
48:21
Section 5 - t-Distribution
37:30
Section 6 - F-Distribution
32:36
Lecture 2:One and Two-Sample Estimation Problems
Section 1 - Estimation_Concept
42:25
Section 2 - CI for mu
43:28
Section 3 - CI for mu1-mu2
30:35
Section 4 - Paired Observations
31:37
Section 5 - CI for variance and two variances
20:08
Section 6 - CI for p and p1-p2
31:18
Section 7 - PI and TI
48:21
Section 8 - MLE
44:16
Lecture 3:One- and Two-Sample Tests of Hypotheses
Section 1 - Hypothesis Testing - Concept
46:57
Section 2 - Hypothesis Testing - Example
56:08
Section 3 - P-value
31:07
Section 4 - Tests on Single Mean
01:01:08
Section 5 - Tests on Two Means (Independent Samples)
37:51
Section 6 - Tests on Two Means (Paired Samples)
30:19
Section 7 - Tests on Single and Two Variances
31:18
Section 8 - Test on a Single Proportion
33:07
Section 9 - Tests on Two Proportions
17:13
Section 10 - Choice of Sample Size for Testing Means
01:04:07
Section 11 - Goodness-of-Fit Test
43:08
Section 12 - Tests for Independence, Homogeneity & Several Proportions
45:19
Lecture 4:Simple Linear Regression (summary)
Section 1 - Regression Summary - Part1
54:20
Section 2 - Regression - Part2
01:21:37
Section 3 - Regression - Part3
49:00
Section 4 - Regression - Part4
42:53
Lecture 5:One-Factor Experiments: General (summary)
Section 1 - One-Way ANOVA - Summary
01:30:17
Section 2 - ANOVA - Mutiple Comparision - Minitab
24:27
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Prof. Wu Chien-Wei

Dept.  Industrial Engineering and Engineering Management

Research Field

Quality Engineering and Management, Process Capability Analysis, Statistical Inference and Applications, Statistical Process Control, Six Sigma Methodology and Applications, Data Analysis

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