Output for Cluster Level Moderator

Cluster Moderator Uncentered

Specifications for this HLM2 run

The data source for this run = day3revisedCommand file = C:\Users\reb7925\AppData\Local\Temp\whlmtemp.hlm
Output file = C:\Users\reb7925\Dropbox\NYU\GMB_2009_APEIE_v01_M_ASCII_SPSS\hlm2.html
The maximum number of level-1 units = 1573The maximum number of level-2 units = 173
The maximum number of iterations = 100Method of estimation: restricted maximum likelihood
The outcome variable is S2Q3_PP

Summary of the model specified

Level-1 Model

S2Q3_PPij = β0j + rij

Level-2 Model

β0j = γ00 + γ01*(Q216j) + γ02*(WSDj) + γ03*(TRMTBYLIj) + u0j

Mixed Model

S2Q3_PPij = γ00 + γ01*Q216j + γ02*WSDj + γ03*TRMTBYLIj+ u0j+ rij

Final Results - Iteration 6

Iterations stopped due to small change in likelihood function
σ2 = 442.87221
τ

INTRCPT1,β0 / 103.03522
Random level-1 coefficient / Reliability estimate
INTRCPT1,β0 / 0.671

The value of the log-likelihood function at iteration 6 = -7.112656E+003

Final estimation of fixed effects:

Fixed Effect / Coefficient / Standard error / t-ratio / Approx. d.f. / p-value
For INTRCPT1, β0
INTRCPT2, γ00 / 33.702790 / 2.091209 / 16.116 / 169 / <0.001
Q216, γ01 / 0.755386 / 2.693793 / 0.280 / 169 / 0.780
WSD, γ02 / -4.676733 / 2.861860 / -1.634 / 169 / 0.104
TRMTBYLI, γ03 / 4.156589 / 3.810797 / 1.091 / 169 / 0.277

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 / 33.702790 / 1.930830 / 17.455 / 169 / <0.001
Q216,γ01 / 0.755386 / 2.407899 / 0.314 / 169 / 0.754
WSD, γ02 / -4.676733 / 2.924764 / -1.599 / 169 / 0.112
TRMTBYLI, γ03 / 4.156589 / 3.808046 / 1.092 / 169 / 0.277

Final estimation of variance components

Random Effect / Standard Deviation / Variance Component / d.f. / χ2 / p-value
INTRCPT1, u0 / 10.15063 / 103.03522 / 169 / 525.04445 / <0.001
level-1, r / 21.04453 / 442.87221

Statistics for current covariance components model

Deviance = 14225.312994
Number of estimated parameters = 2

Cluster moderator Grand Mean Centered

Specifications for this HLM2 run

Output file name = C:\Users\reb7925\Dropbox\NYU\GMB_2009_APEIE_v01_M_ASCII_SPSS\hlm2.html

Summary of the model specified

Level-1 Model

S2Q3_PPij = β0j + rij

Level-2 Model

β0j = γ00 + γ01*(Q216j) + γ02*(WSDj) + γ03*(CENTWSDLj) + u0j
Q216 WSD have been centered around the grand mean.

Mixed Model

S2Q3_PPij = γ00 + γ01*Q216j + γ02*WSDj + γ03*CENTWSDLj + u0j+ rij

Final Results - Iteration 6

Iterations stopped due to small change in likelihood function
σ2 = 442.87221
τ

INTRCPT1,β0 / 103.03522
Random level-1 coefficient / Reliability estimate
INTRCPT1,β0 / 0.671

The value of the log-likelihood function at iteration 6 = -7.112656E+003

Final estimation of fixed effects:

Fixed Effect / Coefficient / Standard error / t-ratio / Approx. d.f. / p-value
For INTRCPT1, β0
INTRCPT2, γ00 / 32.961212 / 0.944881 / 34.884 / 169 / <0.001
Q216, γ01 / 2.839458 / 1.905409 / 1.490 / 169 / 0.138
WSD, γ02 / -2.622131 / 1.908300 / -1.374 / 169 / 0.171
CENTWSDL, γ03 / 4.156589 / 3.810797 / 1.091 / 169 / 0.277

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 / 32.961212 / 0.937042 / 35.176 / 169 / <0.001
Q216, γ01 / 2.839458 / 1.905091 / 1.490 / 169 / 0.138
WSD, γ02 / -2.622131 / 1.908045 / -1.374 / 169 / 0.171
CENTWSDL, γ03 / 4.156589 / 3.808046 / 1.092 / 169 / 0.277

Final estimation of variance components

Random Effect / Standard Deviation / Variance Component / d.f. / χ2 / p-value
INTRCPT1, u0 / 10.15063 / 103.03522 / 169 / 525.04445 / <0.001
level-1, r / 21.04453 / 442.87221

Statistics for current covariance components model

Deviance = 14225.312994
Number of estimated parameters = 2

For Power AnalysisUnconditional Model

Specifications for this HLM2 run

Output file name = C:\Users\reb7925\Dropbox\NYU\GMB_2009_APEIE_v01_M_ASCII_SPSS\hlm2.html

Summary of the model specified

Level-1 Model

S2Q3_PPij = β0j + rij

Level-2 Model

β0j = γ00 + u0j

Mixed Model

S2Q3_PPij = γ00 + u0j+ rij

Final Results - Iteration 6

Iterations stopped due to small change in likelihood function
σ2 = 443.01246
τ

INTRCPT1,β0 / 104.61634
Random level-1 coefficient / Reliability estimate
INTRCPT1,β0 / 0.675

The value of the log-likelihood function at iteration 6 = -7.121560E+003

Final estimation of fixed effects:

Fixed Effect / Coefficient / Standard error / t-ratio / Approx. d.f. / p-value
For INTRCPT1, β0
INTRCPT2, γ00 / 32.908951 / 0.946720 / 34.761 / 172 / <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 / 32.908951 / 0.943958 / 34.863 / 172 / <0.001

Final estimation of variance components

Random Effect / Standard Deviation / Variance Component / d.f. / χ2 / p-value
INTRCPT1, u0 / 10.22821 / 104.61634 / 172 / 539.35899 / <0.001
level-1, r / 21.04786 / 443.01246

Statistics for current covariance components model

Deviance = 14243.120468
Number of estimated parameters = 2

For Power AnalysisConditional Model

Specifications for this HLM2 run

Output file name = C:\Users\reb7925\Dropbox\NYU\GMB_2009_APEIE_v01_M_ASCII_SPSS\hlm2.html

Summary of the model specified

Level-1 Model

S2Q3_PPij = β0j + rij

Level-2 Model

β0j = γ00 + γ01*(Q216j) + γ02*(WSDj) + γ03*(TRMTBYLIj) + γ04*(MEAN08j) + u0j

MEAN08 has been centered around the grand mean.

Mixed Model

S2Q3_PPij = γ00 + γ01*Q216j + γ02*WSDj + γ03*TRMTBYLIj + γ04*MEAN08j + u0j+ rij

Final Results - Iteration 6

Iterations stopped due to small change in likelihood function
σ2 = 443.87191
τ

INTRCPT1,β0 / 23.48578
Random level-1 coefficient / Reliability estimate
INTRCPT1,β0 / 0.322

The value of the log-likelihood function at iteration 6 = -7.054598E+003

Final estimation of fixed effects:

Fixed Effect / Coefficient / Standard error / t-ratio / Approx. d.f. / p-value
For INTRCPT1, β0
INTRCPT2, γ00 / 30.737068 / 1.449962 / 21.199 / 168 / <0.001
Q216, γ01 / 5.022986 / 1.873570 / 2.681 / 168 / 0.008
WSD, γ02 / 0.264738 / 2.007722 / 0.132 / 168 / 0.895
TRMTBYLI, γ03 / -4.003728 / 2.694915 / -1.486 / 168 / 0.139
MEAN08, γ04 / 0.769737 / 0.057186 / 13.460 / 168 / <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 / 30.737068 / 1.308935 / 23.482 / 168 / <0.001
Q216, γ01 / 5.022986 / 1.747008 / 2.875 / 168 / 0.005
WSD, γ02 / 0.264738 / 1.857428 / 0.143 / 168 / 0.887
TRMTBYLI, γ03 / -4.003728 / 2.604372 / -1.537 / 168 / 0.126
MEAN08, γ04 / 0.769737 / 0.057076 / 13.486 / 168 / <0.001

Final estimation of variance components

Random Effect / Standard Deviation / Variance Component / d.f. / χ2 / p-value
INTRCPT1, u0 / 4.84621 / 23.48578 / 168 / 252.10508 / <0.001
level-1, r / 21.06827 / 443.87191

Statistics for current covariance components model

Deviance = 14109.196740
Number of estimated parameters = 2

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