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Multilevel modeling of educational longitudinal data with crossed random effects

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

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  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. More about the data • Summary statistics: • Number of schools & students

  7. Data: Crossed structure • Cross-classification between MS and HS MS id HS id

  8. 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

  9. 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

  10. Study variables

  11. Self esteem: within-student, within-school variation N=31 N=24 N=20 N=7

  12. Model specification: Model1  Trick 1

  13. Model specification: Model1  Trick 2

  14. Using a trick? • Exactly same results! (from model1)

  15. Modeling strategies

  16. Stata commands

  17. Results: Random effects • Random intercept model

  18. Fixedeffects (From model 1) • Increase over time • Decrease in the increase

  19. Discussion  Use a trick for computational efficiency  Need an easy way to handle random slopes in cross-classified model  Future work: Find weights empirically

  20. Thank you very much! Contact Minjeong Jeon (mjj@berkeley.edu) Sophia Rabe-Hesketh(sophiarh@berkeley.edu) Graduate School of Education University of California, Berkeley

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