Info

'Simulation models:

Yl] = foj + fil¿Xtj-XJ.) + eu Poj = 7oo + 7oi (Wj - W-) + voj Pij = 7io + Yu(fVj- W.) + Uij where eu ~ N(0, <72)

'Simulation models:

Yl] = foj + fil¿Xtj-XJ.) + eu Poj = 7oo + 7oi (Wj - W-) + voj Pij = 7io + Yu(fVj- W.) + Uij where s/iToo.tii)

Comparison of estimates from HLM/2L, SAS Proc Mixed and GLM using simulated data unbalanced design (number of level 1 units (tij) range from 10 to 50 in increments of 10) large level 2 sample and various level 1 samples, J = 100, rij = 10 (10) 50.

Package

HLM/2L

SAS Proc Mixed

SAS Proc GLM (pooled analysis)

SAS Proc GLM (dummy variable to indicate level 2 unit)

True'

Estimate (SE)

Fixed effects Estimate (SE)

Estimate (SE)

Estimate (SE)

701 = 1-5 7io= -4-0 7u =0-25

48-40 (0-940) 1-66(0.171) - 4-25 (0-299) 0.20 (0.054)

49-42 (0-946) 1-66 (0-171) - 4-13 (0-301) 0-20 (0-054)

49-34 (0-582) 1-59 (0-105) - 4-03 (0-067) 0-17 (0-012)

37-13 (4-490) - 4-13 (0-068)

APPENDIX. (Continued)

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