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: 11:37:46

## 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 + rij

#### Level-2 Model – beta naught

β0j = γ00 + u0j

#### Mixed Model

MATH05ij = γ00  + u0j+ rij

Run-time deletion has reduced the number of level-1 records to 2670

## Final Results - Iteration 4

Iterations stopped due to small change in likelihood function

σ2 = 1368.99619

τ

 INTRCPT1,β0 100.29

 Random level-1 coefficient Reliability estimate INTRCPT1,β0 0.788

The value of the log-likelihood function at iteration 4 = -1.346427E+004

#### Final estimation of fixed effects:

 Fixed Effect Coefficient Standard error t-ratio Approx. d.f. p-value For INTRCPT1, β0 INTRCPT2, γ00 664.198318 1.645368 403.678 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 664.198318 1.628683 407.813 46 <0.001

#### Final estimation of variance components

 Random Effect Standard  Deviation Variance  Component d.f. χ2 p-value INTRCPT1, u0 10.01447 100.28957 46 254.47247 <0.001 level-1, r 36.99995 1368.99619

#### Statistics for current covariance components model

Deviance = 26928.537778
Number of estimated parameters = 2