統計學

1. 統計在資料分析扮演重要的角色,瞭解統計概念與應用,以推估有效的樣本數,與資料分析前,選擇適當的統計方法,透過此方式處理應用工程與其它領域的資料,產生跨領域合作的機會。 (Statistics plays an important role in data analysis. Understanding statistical concepts and applications can estimate the effective sample sizes. Before data analysis, the appropriate statistical method is choosing. In this way, the data from applied engineering and other fields can be handled. Moreover, opportunities for cross-field cooperation are created.) 2. 課程搭配R語言進行實作練習,作為瞭解數學的思考邏輯,以及熟悉統計的應用。 (This course is paired with R language for practical exercises, which helps to understand the thinking logic of mathematics and to be familiar with the statistical applications.) 3. 課程介紹不同領域研究之實驗設計與數據分析,培養學生瞭解收集數據從無到有的過程,包含觀察、規劃、推估、假設、分析、整理。 (This course also introduces experimental design and data analysis in different fields. Students learn the process of collecting data, including observing, planning, estimating, hypothesizing, analyzing, and organizing.) 4. 開學後第一周和第二週為了防疫,這門課可能會採用線上,有關最新資訊,請參閱新的 E3 或透過信箱聯繫老師。 (This course could be online owing to pandemic prevention in the first and second week after school begins. For the most updated information, please refer to the new E3 or contact teacher via email.

None

無備註

TBD

1學期作業 Two homework using R language Final project 2.考試狀況 Two quizzes Midterm and final examinations 3.評量方法 Two homework using R language, each 5 % Final project, 15 % Two quizzes, each 10% Midterm examination, 25 % Final examination, 30 %

• Introduction to Statistics and R Language

  1. univariate data 2. the describing, normal, and continuous distribution 3. measures of center and variability 4. quantile plots 5. R language essentials

  講授：

  2.5

  實作：

  0.5

• Bivariate and Multivariate Distributions and Probability

  1. scatter plots 2. correlation 3. bivariate data 4. nonlinear relationships 5. probability concepts 6. conditional probability and independence

  講授：

  2.5

  實作：

  0.5

• Obtaining Data

  1. data from sampling and experiments 2. measurement systems

  講授：

  2.5

  實作：

  0.5

• Quality and Reliability

  1. control charts for mean, variance, and attribute data 2. process capability analysis 3. reliability.

  講授：

  5

  實作：

  1

• Estimation and Statistical Intervals

  1. point estimation 2. confidence intervals

  講授：

  5

  實作：

  1

• Testing Statistical Hypotheses

  1. hypotheses and test procedures 2. testing the form of a distribution

  講授：

  5

  實作：

  1

• The Analysis of Variance

  1. ANOVA 2. randomized block experiments

  講授：

  5

  實作：

  1

• Inferential Methods in Regression and Correlation

  1. regression and models involving a single independent variable 2. multiple regression models

  講授：

  5

  實作：

  1

• Nonparametric methods

  1. Wilcoxon signed-rank test 2. Mann-Whitney U test 3. Kruskal-Wallis test 4. Spearman correlation

  講授：

  2.5

  實作：

  0.5

• Experimental Design

  1. background and motivation 2. objective 3. material and method 4. discussion

  講授：

  3

1. J. L. Devore, N. R. Farnum, J. A. Doi, Applied Statistics for Engineers and Scientists, Third Edition, Cengage Learning, 2014. 2. P. Dalgaard, Introductory Statistics with R, Second Edition. Springer Science+Business Media, 2008.

地點

TBD

時間

TBD

聯絡方式

TBD