教學大綱 Syllabus

科目名稱:複層次迴歸分析

Course Name: Multilevel Modeling

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

Multilevel modeling (MLM), sometimes referred to as hierarchical modeling, allows researchers to account for data collected at multiple levels and variation between different groups. The course begins with an introduction to multilevel linear models and discuss the following aspects: model fit and adequacy, causal inference, and power. Then the course proceeds on to cross-classification models, multilevel generalized linear models, and multilevel longitudinal models.

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

    Multilevel Modeling provides an introduction to statistical models with explicitly defined hierarchies. The course aims at helping students to understand the core concepts behind multilevel models, to apply them to substantive problems, and to learn how to effectively present and communicate results to others. In this course, students will learn to develop statistical models with hierarchical structures for their own purpose and to specify, fit, and check multilevel models in the R environment and other software.

    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

    週次

    課程主題

    課程內容與指定閱讀

    教學活動與作業

    1

    Overview

    OMB cha1 

    • Overview of multilevel models
    • Types of data 
    • ICC

    2

    Introduction to MLM

    OMB cha2

    • Multilevel Models for Organizational Data

    3

    Model Fit and Adequacy 

    OMB cha3

    • Evaluation of Model Fit and Adequacy

    4

    Causal Inference

    OMB cha4

    • Causal Inference in Multilevel Settings

    5

    Power

    OMB cha5

    • Statistical Power for Linear Multilevel Models

    6

    Brainstorming Session on Term Papers

    No assigned readings

    Students need to come with a research proposal (2 pages) that specifies the research question(s), a brief review of the literature, and the contributions of this project. Students will take turns sharing their thoughts and receiving feedback from the professor and their peers.   

    7

    Cross-classification

    OMB cha6

    • Cross-Classified Random-Effects Models

    8

    Generalized Models 

    OMB cha7

    • Multilevel Logistic and Ordinal Models

    9

    Count Models 

    OMB cha8

    • Single and Multilevel Models for Counts  

    10

    Longitudinal Data

    OMB cha9

    • Individual Growth Curve Models for Longitudinal Data

    11

    Workshop on Data and Methods

    No assigned readings

    Students need to come to class with a proposal that discusses the data and methods they will use in their projects. After their presentation (about 10 minutes), they will have a QA session where comments and questions will be provided. 

    12

    Reporting Results 

    OMB cha17

    • Sampling, model specification, estimation and inference
    • Model evaluation

    13

    Large-scale sample datasets 

    OMB cha13

    • Using Large-Scale Complex Sample Datasets in Multilevel
      Modeling

    14

    Measurement 

    OMB cha14

    • Common Measurement Issues in a Multilevel Framework

    15

    Missing Data 

    OMB cha15

    • Missing Data Handling for Multilevel Data 

    16

    Multilevel Mediation Analysis 

    OMB cha16

    • Mechanisms of effects 
    • Mediator variable

    17

    Term paper oral report

    Please circulate your paper by the designated deadline

    Please read other students’ papers and be prepared to offer comments in class 

    18

    Term paper oral report

    Please circulate your paper by the designated deadline

    Please read other students’ papers and be prepared to offer comments in class

    Term paper due at the end of class 

    授課方式Teaching Approach

    40%

    講述 Lecture

    20%

    討論 Discussion

    30%

    小組活動 Group activity

    10%

    數位學習 E-learning

    0%

    其他: Others:

    評量工具與策略、評分標準成效Evaluation Criteria

    Attendance and Participation (20%)

    Homework (40%)

    Final Paper (30%)

    Final Paper Presentation (10%)

     

    Attendance and Participation (20%): Your preparation, presence, and participation are crucial. Please complete the required readings, be on time for each class, bring all relevant readings, and contribute energetically to the class. Your class participation grade will be assessed based on attendance and your contributions to discussions and group activities. Please note that unexcused absences will count heavily against your grade. An absence will be excused only with documentation of medical necessity or with prior approval from the professor. 

     

    Homework (40%): Students will complete five problem sets designed to test the comprehension of the material covered in class. You may consult with your classmates. However, each student must write up and turn in their own work/assignment. Assignments deemed too similar to another student’s assignment will receive a score of 0. Working (struggling) on the homework is the only sure way to master the material. All homework assignments are due at the beginning of the class. 

     

    Final Paper (30%) and Paper Presentation (10%): At the end of the semester, students need to write a research paper that uses one of the methods that we have discussed in class. The paper should include: research questions, literature review, hypotheses, data and methods, results, implications and conclusions. The papers should be about 20-25 pages, double-space. Students will present their findings in Weeks 17 and 18.

    Policy on using Generative AI tools: It is totally fine for students to consult with Generative AI tools for learning purposes. However, for completing their assignments and the data analysis project, all the input should be the students' own original work. Violations of this policy will be considered academic misconduct.

    指定/參考書目Textbook & References

    指定書目

    • O'Connell, A. A., McCoach, D. B., & Bell, B. A. (Eds.). (2022). Multilevel modeling methods with introductory and advanced applications. IAP.

    參考書目

    • Snijders, T. A. B., & Bosker, R. J. (2012). Multilevel analysis: An introduction to basic and advanced multilevel modeling (2nd ed.). Thousand Oaks, CA: Sage.
    • Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical linear models: applications and data analysis methods (2nd ed.). Thousand Oaks, CA: Sage.
    • Gelman, A., & Hill, J. (2006). Data analysis using regression and multilevel/hierarchical models.Cambridge, UK: Cambridge University Press.
    • Singer, J. D., & Willett, J. B. (2003). Applied longitudinal data analysis: Modeling change and event occurrence. Oxford, UK: Oxford University Press. [For longitudinal data analysis]
    • West B. T., Welch, K. B., & Gałecki, A. T. (2014). Linear mixed models: A practical guide using statistical software (2nd ed.). Boca Raton, FL: CRC. [A reference for using different software]
    • Gałecki, A. T., & Burzykowski, T. (2013). Linear mixed-effects models using R: A step-by-step approach. Springer.
    • Luke, D. A. (2020). Multilevel modeling (2nd ed.). Sage.
    • Heck, R. H., Thomas, S. L., & Tabata, L. N. (2014). Multilevel and longitudinal modeling with IBM SPSS (2nd ed.). New York, NY: Routledge. [A reference for SPSS users]

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