教學大綱 Syllabus

科目名稱:多變量分析及其應用

Course Name: Multivariate analysis and its applications

修別:選

Type of Credit: Elective

3.0

學分數

Credit(s)

20

預收人數

Number of Students

課程資料Course Details

課程簡介Course Description

Multivariate statistical analysis refers to statistical techniques that are used to study the joint behavior of many variables at the same time. 

核心能力分析圖 Core Competence Analysis Chart

能力項目說明


    課程目標與學習成效Course Objectives & Learning Outcomes

    In this two-semester course, we'll give the multivariate statistical techniques such as multiple linear regression models, principle component analysis, factor analysis, canonical analysis and discrimination and classification and their theory behind these techniques. In addition, students will also learn how to use statistical software to analyze the data. It is expected that students should be able to determine and use the appropriate technique to answer and explain the multivariate data they are given.

    每周課程進度與作業要求 Course Schedule & Requirements

    教學週次Course Week 彈性補充教學週次Flexible Supplemental Instruction Week 彈性補充教學類別Flexible Supplemental Instruction Type

    Week            Topic                               Content and Reading                  Teaching Activities             Student workload                                                                                           Assignment                               and Homework                _______________________________________________________________________________________________

    1        Aspects of Multivariate Analysis 1        introduction and multivariate techniques                       Homework will be         Students are  expected                                                                                                                                                                                              assigned in the class        to  spend 9 hours/week                                                                  .          .                                                                                                             outside of class

    2        Aspects of Multivariate Analysis 2      organization of data 

    3.       National Holiday

    4.       Aspects of Multivariate Analysis 3      pictorial representations and distance

    5.      Matrix algebra and random vector 1     properties of matrix and vector algebra

    6.      Matrix algebra and random vector 2    Random vectors and matrices    

    7.      Sample geometry and random sampling 1 geometry of sample

    8.    Sample geometry and random sampling 2  properties of sample mean and covariance matrix

    9.     Multivariate normal distribution 1        density and properties

    10.   Multivariate normal distribution 2       sampling distributions and MLE

    11.   Multivariate normal distribution 3      assessing the normality assumption

    12.   Multivariate linear regression models 1 classical linear regression model

    13.  Multivariate linear regression models 2 estimation

    14.  Multivariate linear regression models 3 inferences

    15. Multivariate linear regression models 4 diagnostics and remedial measures

    16. Preview of principle components and factor analysis

    17. Regression project 1

    18. Regression project 2

     

    授課方式Teaching Approach

    50%

    講述 Lecture

    20%

    討論 Discussion

    0%

    小組活動 Group activity

    30%

    數位學習 E-learning

    0%

    其他: Others: 除了第一週(9月1日),或另行宣布外,本課程其它各節課,皆為遠距教學。 Office hours 第二週以後亦透過線上。

    評量工具與策略、評分標準成效Evaluation Criteria

    1. class participation:  20%

    2. home work: 40%

    3. projects: 40%

     

    All are subject to change.

    指定/參考書目Textbook & References

    Applied Mltivariate Statistical Analysis (2014) by Johnson and Wichern 6 th edition

     

    Reference book: Applied Linear Regression Models (2004) by Kutner, Nachtssheim, and Neter 4th edition

     

    已申請之圖書館指定參考書目 圖書館指定參考書查詢 |相關處理要點

    書名 Book Title 作者 Author 出版年 Publish Year 出版者 Publisher ISBN 館藏來源* 備註 Note

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    課程相關連結Course Related Links

    
                

    課程附件Course Attachments

    課程進行中,使用智慧型手機、平板等隨身設備 To Use Smart Devices During the Class

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