เปรียบเทียบวิธี

	Educational Hierarchical Linear Modeling	Multilevel Modeling
สาขาวิชา	Education	สถิติการวิจัย
ตระกูล	Regression model	Process / pipeline
ปีกำเนิด	2002	1992
ผู้ริเริ่ม	Stephen Raudenbush & Anthony Bryk	Anthony Bryk and Stephen Raudenbush
ประเภท	Multilevel regression for hierarchically nested educational data	Method
แหล่งต้นตำรับ	Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical Linear Models: Applications and Data Analysis Methods (2nd ed.). Sage. ISBN: 9780761919049	Bryk, A. S., & Raudenbush, S. W. (1992). Hierarchical Linear Models: Applications and Data Analysis Methods. SAGE Publications.
ชื่อเรียกอื่น	Multilevel Models in Education, Students-in-Schools HLM, School Effects Multilevel Model, Random-Effects Models for Educational Data	HLM, mixed-effects models, random effects models, MLM
ที่เกี่ยวข้อง	4	3
สรุป	Educational hierarchical linear modeling (HLM) is a multilevel regression framework for data in which students are nested within classrooms and classrooms within schools. Formalized for education by Raudenbush and Bryk, it lets the intercept and slopes of a student-level regression vary across schools, simultaneously estimating student-level relationships, school-level relationships, and the cross-level interactions between them — while producing correct standard errors that single-level regression on clustered data cannot.	Multilevel modeling (also called hierarchical linear modeling, mixed-effects modeling) is a statistical framework for analyzing data organized in nested or clustered structures—students within schools, patients within hospitals, repeated measures within individuals. Developed by Bryk and Raudenbush (1992), it accounts for dependency among observations and partitions variance into levels (within-cluster and between-cluster), enabling valid inference and revealing context effects. Essential in education, medicine, organizational research, and any field where data have natural hierarchies.