Program: HLM 7 Hierarchical Linear and Nonlinear Modeling
Authors: Stephen Raudenbush, Tony Bryk, & Richard Congdon
Publisher: Scientific Software International, Inc. (c) 2010
[email protected]
www.ssicentral.com

Module: HLM2.EXE (7.00.21103.1002)
Date: 25 October 2017, Wednesday
Time: 16:53:25



Specifications for this HLM2 run

Problem Title: no title

The data source for this run = popular2.mdm
The command file for this run = D:\Dropbox\MLMbook\book2\New or Corrected Data\2 Basic Model\popular.hlm
Output file name = D:\Dropbox\MLMbook\book2\New or Corrected Data\2 Basic Model\hlm2.html
The maximum number of level-1 units = 2000
The maximum number of level-2 units = 100
The maximum number of iterations = 100

Method of estimation: full maximum likelihood

The outcome variable is POPULAR

Summary of the model specified

Level-1 Model

    POPULARij = β0j + β1j*(EXTRAVij) + β2j*(SEXij) + rij

Level-2 Model

    β0j = γ00 + γ01*(TEXPj) + u0j
    β1j = γ10 + u1j
    β2j = γ20

Mixed Model

    POPULARij = γ00 + γ01*TEXPj 
    + γ10*EXTRAVij 
    + γ20*SEXij 
     + u0j + u1j*EXTRAVij + rij

Final Results - Iteration 9

Iterations stopped due to small change in likelihood function

σ2 = 0.55181

Standard error of σ2 = 0.01837

τ
INTRCPT1,β0     1.28143   -0.18475
EXTRAV,β1     -0.18475   0.03392

Standard errors of τ
INTRCPT1,β0     0.28119   0.04655
EXTRAV,β1     0.04655   0.00833

τ (as correlations)
INTRCPT1,β0     1.000  -0.886
EXTRAV,β1    -0.886   1.000

Random level-1 coefficient   Reliability estimate
INTRCPT1,β00.633
EXTRAV,β10.564
The value of the log-likelihood function at iteration 9 = -2.406403E+003

Final estimation of fixed effects:

Fixed Effect  Coefficient  Standard
error		  t-ratio  Approx.
d.f.		  p-value
For INTRCPT1, β0
    INTRCPT2, γ00 0.738568 0.195209 3.783 98 <0.001
     TEXP, γ01 0.090813 0.008598 10.563 98 <0.001
For EXTRAV slope, β1
    INTRCPT2, γ10 0.452641 0.024478 18.491 99 <0.001
For SEX slope, β2
    INTRCPT2, γ20 1.252470 0.036554 34.263 1799 <0.001

Final estimation of fixed effects
(with robust standard errors)

Fixed Effect  Coefficient  Standard
error		  t-ratio  Approx.
d.f.		  p-value
For INTRCPT1, β0
    INTRCPT2, γ00 0.738568 0.199352 3.705 98 <0.001
     TEXP, γ01 0.090813 0.008711 10.425 98 <0.001
For EXTRAV slope, β1
    INTRCPT2, γ10 0.452641 0.024561 18.430 99 <0.001
For SEX slope, β2
    INTRCPT2, γ20 1.252470 0.034903 35.884 1799 <0.001

Final estimation of variance components

Random Effect Standard
 Deviation		 Variance
 Component		   d.f. χ2 p-value
INTRCPT1, u0 1.13200 1.28143 98 288.64116<0.001
EXTRAV slope, u1 0.18417 0.03392 99 237.61747<0.001
level-1, r 0.74284 0.55181   

Statistics for the current model

Deviance = 4812.806967
Number of estimated parameters = 8