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

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Module:	HLM2.EXE (7.01.21202.1001)
Date:	3 October 2017, Tuesday
Time:	11:56: 6

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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

    MATH05_ij = β_0j + β_1j*(READ05_ij) + r_ij

Level-2 Model

    β_0j = γ₀₀ + u_0j
    β_1j = γ₁₀ + u_1j

READ05 has been centered around the group mean.

Mixed Model

    MATH05_ij = γ₀₀ 
    + γ₁₀*READ05_ij  + u_0j + u_1j*READ05_ij + r_ij

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