6186 - 類別資料分析

Analysis of Categorical Data

教育目標 Course Target

Introducing advanced statistical models and theories for categorical data used by statistical researchers and practitioners.1. Introduction: Distributions and Inference for Categorical Data
2. Describing Contingency Tables
3. Inference for Contingency Tables
4. Introduction to Generalized Linear Models
5. Logistic Regression
6. Building,Checking, and Applying Logistic Regression Models
7. Alternative Mideling of Binary Response Data
8. Models for Multinomial Responses
9. Loglinear Models for Contingency Tables
10. Building and Extending Loglinear Models
11. Models for Matched Pairs
12. Cluster Categorical Data: Marginal and Transitional Models
13. Cluster Categorical Data: Random Effect Models
14. Other Mixture Models for Discrete Data
15. Non-Model-Based Classification and Clustering
16. Large- and Small Sample Theory for Multinomial Models
17. Historical Tour of Categorical Data Analysis.
In this semester, we may include some topics related to Data Mining such as Random Forests, Boosting, Deep learning, and/or Reinforcement learning.

Introduction: Distributions and Inference for Categorical Data
2. Describing Contingency Tables
3. Inference for Contingency Tables
4. Introduction to Generalized Linear Models
5. Logistic Regression
6. Building,Checking, and Applying Logistic Regression Models
7. Alternative Mideling of Binary Response Data
8. Models for Multinomial Responses
9. Loglinear Models for Contingency Tables
10. Building and Extending Loglinear Models
11. Models for Matched Pairs
12. Cluster Categorical Data: Marginal and Transitional Models
13. Cluster Categorical Data: Random Effect Models
14. Other Mixture Models for Discrete Data
15. Non-Model-Based Classification and Clustering
16. Large- and Small Sample Theory for Multinomial Models
17. Historical Tour of Categorical Data Analysis.
In this semester, we may include some topics related to Data Mining such as Random Forests, Boosting, Deep learning, and/or Reinforcement learning.

課程概述 Course Description

Categorical data analysis that deals with qualitative or discrete quantitative data is one of the most important statistical tools nowadays. In recent years, this tool plays a fundamental role on analyzing polychotomous data, particularly in the social and health sciences. This course introduces statistical theories and models for analyzing categorical data. The main topics cover :
(1) likelihood-based inferences on measures of association for two-dimensional and three-dimensional contingency tables under different assumptions. (2) generalized linear (mixed) models with emphasis on binary (Poisson) regression and logit models. (3) Repeated categorical data modeling, such as generalized estimating equation approaches and quasi-likelihood methods. (4) Asymptotic results and other advanced topics.

Categorical data analysis that deals with quality or discrete quantitative data is one of the most important statistical tools nowadays. In recent years, this tool plays a fundamental role on analyzing polychotomous data, particularly in the social and health sciences. This course introduces statistical theories and models for analyzing category data. The main topics cover :
(1) likelihood-based inferences on measures of association for two-dimensional and three-dimensional contingency tables under different assumptions. (2) generalized linear (mixed) models with emphasis on binary (Poisson) regression and logit models. (3) Repeated category data modeling, such as generalized estimating equation approaches and quasi-likelihood methods. (4) Asymptotic results and other advanced topics.

參考書目 Reference Books

“Categorical Data Analysis” by Alan Agresti

“Categorical Data Analysis” by Alan Agresti

評分方式 Grading

評分項目
Grading Method
配分比例
Percentage
說明
Description
Quizzes, Presentations and/or Projects
Quizzes, Presentations and/or Projects
50
Midterm and/or Final
Midterm and/or Final
50

授課大綱 Course Plan

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課程資訊 Course Information

基本資料 Basic Information

  • 課程代碼 Course Code: 6186
  • 學分 Credit: 0-3
  • 上課時間 Course Time:
    Wednesday/5,6,7[M438]
  • 授課教師 Teacher:
    蘇俊隆
  • 修課班級 Class:
    統計碩1,2
選課狀態 Enrollment Status

目前選課人數 Current Enrollment: 5 人

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