本課程以英語授課。工程與環境統計領域選修課程之一。

本課程將介紹如何利用統計方法來監管與最佳化生產程序 (production processes) 或作業流程 (operation processes)。本課程的第一部分首先深入淺出介紹統計推論方法，課程的第二部份利用統計檢定方法來發展出統計管制方法，課程的第三部份則利用實驗設計方法與統計迴歸分析來發展出最佳化方法。本課程全程將利用半導體生產製程資料及服務業作業流程資料做為實例以Excel來?明課程內容及習題演練之用。 Course Outline: I. Review of Statistics (5 classes) Outcome Space, Events, Permutation, and Combination Random Variables Conditional Probability and Bayes Theorem Probability Distribution Models Central Limit Theorem Purpose and Nature of Sampling Descriptive Statistics Q-Q Probability Plot Statistics and Point Estimate Moment Estimate Maximum Likelihood Estimate Statistical Confidence Interval Statistical Hypothesis Testing Testing Means Testing Variances II. Statistical Process Control (5 classes) Conceptual Framework Construction of Shewhart Control Charts Shewhart Control Charts for Attribute Data Interpretation of Shewhart Control Charts Importance of Rational Grouping and Sampling Control Charts for Individual Measurements CUSUM and EWMA Control Charts Closing the Control Loop Process Capability Assessment Statistical Process Control and Automatic Process Control III. Statistical Optimization (5 classes) Taguchi Method Conceptual Framework for Robust Design Planned Experimentation using Orthogonal Arrays Steps in Robust Design Design and Analysis of Factorial Experiments Regression Analysis and Response Surface Two-Level Fractional Factorial Designs Analysis of Fractional Factorial Experiments Sequential and Iterative Nature of Experimentation Response Surface Method (RSM)

經過本課程學生將學會如何應用統計方法於程序監管 (process monitoring/control) 及設計優化 (design optimization) 上

微積分

1. Introduction to Probability and Statistics for Engineers and Scientists, S. M. Ross, Elsevier Academic Press. 2. Probability and Statistics for Engineering and Sciences, J. L. Devore, Brooks/Cole Publishing Company, Monterey. 3. Statistical Quality Design and Control, by R. E. DeVor, T-h Chang and J. W. Sutherland, Macmillan Publishing Company, New York, 1992. 4. Quality Engineering Using Robust Design, by M. S. Phadke, Prentice Hall, 1989 5. Design and Analysis of Experiments, by Montgoery 6. Introduction to Statistical Quality Control, by D. C. Montgomery, Wiley, 1985