Program:

HLM 7 Hierarchical Linear and Nonlinear Modeling

Authors:

Stephen Raudenbush, Tony Bryk, & Richard Congdon

Publisher:

Scientific Software International, Inc. (c) 2010

techsupport@ssicentral.com
www.ssicentral.com


Module:

HLM2.EXE (7.01.21202.1001)

Date:

3 October 2017, Tuesday

Time:

11:56: 6


 

Specifications for this HLM2 run

Problem Title: no title

The data source for this run = mathread.mdm
The command file for this run = C:\Users\mcrdz\AppData\Local\Temp\whlmtemp.hlm
Output file name = C:\Users\mcrdz\Desktop\DocumentsMCR\COURSES\EPSY8268-HLM\Data\hlm2.html
The maximum number of level-1 units = 2700
The maximum number of level-2 units = 47
The maximum number of iterations = 100

Method of estimation: restricted maximum likelihood

The outcome variable is MATH05

Summary of the model specified

Level-1 Model

    MATH05ij = β0j + β1j*(READ05ij) + rij

Level-2 Model

    β0j = γ00 + u0j
    β
1j = γ10 + u1j

READ05 has been centered around the group mean.

Mixed Model

    MATH05ij = γ00 
    + γ
10*READ05ij  + u0j + u1j*READ05ij + rij

Run-time deletion has reduced the number of level-1 records to 2657

Final Results - Iteration 16

Iterations stopped due to small change in likelihood function

σ2 = 638.64469

τ

INTRCPT1,β0  

   113.08760

   0.31770

READ05,β1  

   0.31770

   0.00809


τ (as correlations)

INTRCPT1,β0  

   1.000

   0.332

READ05,β1  

   0.332

   1.000

 

Random level-1 coefficient

  Reliability estimate

INTRCPT1,β0

0.898

READ05,β1

0.446

The value of the log-likelihood function at iteration 16 = -1.241953E+004

Final estimation of fixed effects:

Fixed Effect

 Coefficient

 Standard
error

 t-ratio

 Approx.
d.f.

 p-value

For INTRCPT1, β0

    INTRCPT2, γ00

664.288258

1.636901

405.821

46

<0.001

For READ05 slope, β1

    INTRCPT2, γ10

0.715466

0.019615

36.475

46

<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

664.288258

1.619366

410.215

46

<0.001

For READ05 slope, β1

    INTRCPT2, γ10

0.715466

0.019368

36.940

46

<0.001

 

Final estimation of variance components

Random Effect

Standard
 Deviation

Variance
 Component

  d.f.

χ2

p-value

INTRCPT1, u0

10.63427

113.08760

46

544.14582

<0.001

READ05 slope, u1

0.08996

0.00809

46

94.72818

<0.001

level-1, r

25.27142

638.64469

 

 

 

Statistics for current covariance components model

Deviance = 24839.068399
Number of estimated parameters = 4