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: HLM3.EXE (7.00.21103.1002)
Date: 30 October 2017, Monday
Time: 15: 4:44



Specifications for this HLM3 run

Problem Title: no title

The data source for this run = D:\MLMbook\Book3\DataOwnUse\2 Basic Model\nurses.mdm
The command file for this run = D:\MLMbook\Book3\DataOwnUse\2 Basic Model\nurses.hlm
Output file name = D:\MLMbook\Book3\DataOwnUse\2 Basic Model\hlm3.html
The maximum number of level-1 units = 1000
The maximum number of level-2 units = 100
The maximum number of level-3 units = 25
The maximum number of iterations = 100
Method of estimation: full maximum likelihood
The outcome variable is STRESS

Summary of the model specified

Level-1 Model

    STRESSijk = π0jk + π1jk*(AGEijk) + π2jk*(GENDERijk) + π3jk*(EXPERIENijk) + eijk

Level-2 Model

    π0jk = β00k + β01k*(WARDTYPEjk) + β02k*(EXPCONjk) + r0jk
    π1jk = β10k
    π2jk = β20k
    π3jk = β30k

Level-3 Model

    β00k = γ000 + γ001(HOSPSIZEk) + u00k
    β01k = γ010
    β02k = γ020 + γ021(HOSPSIZEk) + u02k
    β10k = γ100
    β20k = γ200
    β30k = γ300

EXPCON has been centered around the grand mean.

HOSPSIZE has been centered around the grand mean.

Mixed Model

    STRESSijk = γ000 + γ001*HOSPSIZEk + γ010*WARDTYPEjk + γ020*EXPCONjk
    + γ021*EXPCONjk*HOSPSIZEk + γ100*AGEijk + γ200*GENDERijk + γ300*EXPERIENijk
    + r0jk  + u00k  + u02k *EXPCONjk + eijk

For starting values, data from 1000 level-1 and 100 level-2 records were used

Final Results - Iteration 8

Iterations stopped due to small change in likelihood function

σ2 = 0.21662
Standard error of σ2 = 0.01021

τπ
INTRCPT1,π0   0.10872
Standard error of τπ
INTRCPT1,π0   0.02614

Random level-1 coefficient   Reliability estimate
INTRCPT1,π00.832

τβ
INTRCPT1  INTRCPT1  
INTRCPT2,β00 EXPCON,β02
   0.15162   0.05326
   0.05326   0.17841
Standard errors of τβ
INTRCPT1  INTRCPT1  
INTRCPT2,β00 EXPCON,β02
   0.05253   0.04890
   0.04890   0.09124
τβ (as correlations)
INTRCPT1/INTRCPT2,β00  1.000  0.324
INTRCPT1/ EXPCON,β02  0.324  1.000

Random level-2 coefficient   Reliability estimate
INTRCPT1/INTRCPT2,β000.823
INTRCPT1/ EXPCON,β020.577
The value of the log-likelihood function at iteration 8 = -7.753804E+002

Final estimation of fixed effects:

Fixed Effect  Coefficient  Standard
error		  t-ratio  Approx.
d.f.		  p-value
For INTRCPT1, π0
   For INTRCPT2, β00
           INTRCPT3, γ000 5.403553 0.110969 48.694 23 <0.001
           HOSPSIZE, γ001 0.458217 0.123943 3.697 23 0.001
   For WARDTYPE, β01
           INTRCPT3, γ010 0.053134 0.072294 0.735 49 0.466
   For EXPCON, β02
           INTRCPT3, γ020 -0.698783 0.111195 -6.284 23 <0.001
           HOSPSIZE, γ021 0.998447 0.160567 6.218 23 <0.001
For AGE slope, π1
   For INTRCPT2, β10
           INTRCPT3, γ100 0.022297 0.002192 10.172 847 <0.001
For GENDER slope, π2
   For INTRCPT2, β20
           INTRCPT3, γ200 -0.454752 0.034833 -13.055 847 <0.001
For EXPERIEN slope, π3
   For INTRCPT2, β30
           INTRCPT3, γ300 -0.061808 0.004452 -13.882 847 <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, π0
   For INTRCPT2, β00
           INTRCPT3, γ000 5.403553 0.101038 53.480 23 <0.001
           HOSPSIZE, γ001 0.458217 0.123312 3.716 23 0.001
   For WARDTYPE, β01
           INTRCPT3, γ010 0.053134 0.076828 0.692 49 0.492
   For EXPCON, β02
           INTRCPT3, γ020 -0.698783 0.111071 -6.291 23 <0.001
           HOSPSIZE, γ021 0.998447 0.191218 5.222 23 <0.001
For AGE slope, π1
   For INTRCPT2, β10
           INTRCPT3, γ100 0.022297 0.001867 11.944 847 <0.001
For GENDER slope, π2
   For INTRCPT2, β20
           INTRCPT3, γ200 -0.454752 0.031594 -14.394 847 <0.001
For EXPERIEN slope, π3
   For INTRCPT2, β30
           INTRCPT3, γ300 -0.061808 0.004040 -15.298 847 <0.001

Final estimation of level-1 and level-2 variance components

Random Effect Standard
 Deviation		 Variance
 Component		   d.f. χ2 p-value
INTRCPT1,r0 0.32973 0.1087249 303.43878<0.001
level-1, e 0.46542 0.21662   

Final estimation of level-3 variance components

Random Effect Standard
 Deviation		 Variance
 Component		   d.f. χ2 p-value
INTRCPT1/INTRCPT2,u00 0.38938 0.1516223 140.78872<0.001
INTRCPT1/ EXPCON,u02 0.42239 0.1784123 59.09775<0.001

Statistics for the current model

Deviance = 1550.760833
Number of estimated parameters = 13