
 Program:                       HLM 7 Hierarchical Linear and Nonlinear Modeling
 Authors:                       Stephen Raudenbush, Tony Bryk, & Richard Congdon
 Publisher:                     Scientific Software International, Inc. (c) 2000
                                                      techsupport@ssicentral.com
                                                              www.ssicentral.com
 -------------------------------------------------------------------------------
 Module:      HLM2.EXE (7.00.21103.1002)
 Date:        12 November 2017, Sunday
 Time:        23:51:15
 -------------------------------------------------------------------------------


 Specifications for this HLM2 run


  Problem Title: no title

  The data source for this run  = ch13hlm2level
  The command file for this run = C:\Users\Hawjeng\AppData\Local\Temp\whlmtemp.hlm
  Output file name              = N:\MyBooks\Data3\2017\Data\Ch13\hlm2.txt
  The maximum number of level-1 units = 3364
  The maximum number of level-2 units = 841
  The maximum number of iterations = 100

  Method of estimation: restricted maximum likelihood

  The outcome variable is    SCORE    


 Summary of the model specified (in hierarchical format)
 ---------------------------------------------------

Level-1 Model

	SCORE = B0 + B1*(D1) + B2*(D2) + B3*(D3) + r

Level-2 Model
	B0 = G00 + u0
	B1 = G10 
	B2 = G20 
	B3 = G30 


Mixed Model
    SCORE = G00 
    + G10*D1 
    + G20*D2 
    + G30*D3 
     + u0+ r

Iterations stopped due to small change in likelihood function
******* ITERATION 4 *******


 sigma^2 =      0.23017

tau
 INTRCPT1,B0      0.37069 

 ----------------------------------------------------
  Random level-1 coefficient   Reliability estimate
 ----------------------------------------------------
  INTRCPT1, G0                        0.866
 ----------------------------------------------------
The value of the log-likelihood function at iteration 4 = -3.156312E+003
 The outcome variable is    SCORE

 Final estimation of fixed effects:
 ----------------------------------------------------------------------------
                                       Standard             Approx.
    Fixed Effect         Coefficient   Error      T-ratio   d.f.     P-value
 ----------------------------------------------------------------------------
 For       INTRCPT1, B0
    INTRCPT2, G00           3.633769   0.026730   135.945       840    0.000
 For       D1 slope, B1
    INTRCPT2, G10          -0.079667   0.023396    -3.405      2520    0.001
 For       D2 slope, B2
    INTRCPT2, G20          -0.181926   0.023396    -7.776      2520    0.000
 For       D3 slope, B3
    INTRCPT2, G30          -0.105826   0.023396    -4.523      2520    0.000
 ----------------------------------------------------------------------------

 The outcome variable is    SCORE

 Final estimation of fixed effects
 (with robust standard errors)
 ----------------------------------------------------------------------------
                                       Standard             Approx.
    Fixed Effect         Coefficient   Error      T-ratio   d.f.     P-value
 ----------------------------------------------------------------------------
 For       INTRCPT1, B0
    INTRCPT2, G00           3.633769   0.026884   135.163       840    0.000
 For       D1 slope, B1
    INTRCPT2, G10          -0.079667   0.024359    -3.271      2520    0.001
 For       D2 slope, B2
    INTRCPT2, G20          -0.181926   0.024575    -7.403      2520    0.000
 For       D3 slope, B3
    INTRCPT2, G30          -0.105826   0.023288    -4.544      2520    0.000
 ----------------------------------------------------------------------------



 Final estimation of variance components:
 -----------------------------------------------------------------------------
 Random Effect           Standard      Variance     df    Chi-square  P-value
                         Deviation     Component
 -----------------------------------------------------------------------------
 INTRCPT1,       u0        0.60884       0.37069   840    6251.09601    0.000
  level-1,       r         0.47976       0.23017
 -----------------------------------------------------------------------------


 Statistics for current covariance components model
 --------------------------------------------------
 Deviance                       = 6312.623951
 Number of estimated parameters = 2
