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Multilevel modeling of educational longitudinal data with crossed random effects . Minjeong Jeon Sophia Rabe-Hesketh University of California, Berkeley. 2008 Fall North American Stata Users Group meeting Nov. 13. 2008. Motivation: How to model this data?.
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Multilevel modeling of educational longitudinal data with crossed random effects Minjeong Jeon Sophia Rabe-Hesketh University of California, Berkeley 2008 Fall North American Stata Users Group meeting Nov. 13. 2008
Motivation: How to model this data? Longitudinal cross-classified data • Longitudinal data • Repeated observations within students • Promotion to high school • First two years in middle school • Last two years in high school
Diagram: Longitudinal cross-classified data <1> <2> <3> Rasbash et al. (2005; 2008) Jeon & Rabe-Hesketh T1,..T4: Time(wave), Stu: students MS: middle school , HS: high school
Purpose of the study Propose three modeling strategies • Estimate crossed random effects of middle school (MS) and high school (HS) • By xtmixed in Stata ★Key point ! • Impacts of MS and HS random effects change over time
Data Source: The Korea Youth Panel Survey (KYPS) (http://www.nypi.re.kr/panel/index.asp) • Prospective panel survey: (2003-2006 year) • Middle school 2nd(8th graders), Age(m) =13 • Sample design: Stratified multi-year cluster sampling
More about the data • Summary statistics: • Number of schools & students
Data: Crossed structure • Cross-classification between MS and HS MS id HS id
More about the crossed structure • Number of high schools within middle school Number of HS per MS: 2~17 Number of MS per HS: 1~5
School area information • 15 Areas that students do not “cross” when moving from MS to HS Maximum number of MS per area = 21 Maximum number of HS per area = 175
Self esteem: within-student, within-school variation N=31 N=24 N=20 N=7
Model specification: Model1 Trick 1
Model specification: Model1 Trick 2
Using a trick? • Exactly same results! (from model1)
Results: Random effects • Random intercept model
Fixedeffects (From model 1) • Increase over time • Decrease in the increase
Discussion Use a trick for computational efficiency Need an easy way to handle random slopes in cross-classified model Future work: Find weights empirically
Thank you very much! Contact Minjeong Jeon (mjj@berkeley.edu) Sophia Rabe-Hesketh(sophiarh@berkeley.edu) Graduate School of Education University of California, Berkeley