Output for MLM Refresher
Model A
Specifications for this HLM2 run
Problem Title: no title
The data source for this run = mlmrefresher
The command file for this run = C:\Users\reb7925\AppData\Local\Temp\whlmtemp.hlm
Output file name = C:\Users\reb7925\Dropbox\NYU\workshop\Day 1 final materials\hlm2.html
The maximum number of level-1 units = 2008
The maximum number of level-2 units = 204
The maximum number of iterations = 100
Method 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 + u0j
Mixed Model
S2Q3_PPij = γ00 + u0j+ rij
Final Results - Iteration 6
Iterations stopped due to small change in likelihood function
σ2 = 379.71280
τ
INTRCPT1,β0
84.93100
Random level-1 coefficient Reliability estimate
INTRCPT1,β0
0.687
The value of the log-likelihood function at iteration 6 = -8.928845E+003
Final estimation of fixed effects:
Fixed Effect
Coefficient Standard error t-ratio
Approx. d.f.
For INTRCPT1, β0
INTRCPT2, γ00 18.744496
0.778746 24.070
203
Final estimation of fixed effects (with robust standard errors)
Fixed Effect
Coefficient
Standard error t-ratio
Approx. d.f.
For INTRCPT1, β0
INTRCPT2, γ00 18.744496
0.776839 24.129
203
Final estimation of variance components
Random Effect Standard Deviation Variance Component
INTRCPT1, u0
9.21580
84.93100
level-1, r
19.48622
379.71280
Statistics for current covariance components model
Deviance = 17857.689601
Number of estimated parameters = 2
1
p-value
<0.001
p-value
<0.001
d.f.
χ2
p-value
203 647.29446 <0.001
Model B
Specifications for this HLM2 run
Problem Title: no title
The data source for this run = mlmrefresher
The command file for this run = C:\Users\reb7925\AppData\Local\Temp\whlmtemp.hlm
Output file name = C:\Users\reb7925\Dropbox\NYU\workshop\Day 1 final materials\hlm2.html
The maximum number of level-1 units = 2008
The maximum number of level-2 units = 204
The maximum number of iterations = 100
Method 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*(TRMTj) + u0j
Mixed Model
S2Q3_PPij = γ00 + γ01*TRMTj + u0j+ rij
Final Results - Iteration 6
Iterations stopped due to small change in likelihood function
σ2 = 379.68375
τ
INTRCPT1,β0
84.83853
Random level-1 coefficient Reliability estimate
INTRCPT1,β0
0.686
The value of the log-likelihood function at iteration 6 = -8.927683E+003
Final estimation of fixed effects:
Fixed Effect
Coefficient Standard error t-ratio Approx. d.f.
For INTRCPT1, β0
INTRCPT2, γ00 20.045588
1.383298 14.491
202
TRMT, γ01
-1.904153
1.673419 -1.138
202
Final estimation of fixed effects (with robust standard errors)
Fixed Effect
Coefficient Standard error t-ratio Approx. d.f.
For INTRCPT1, β0
INTRCPT2, γ00 20.045588
1.375676 14.571
202
TRMT, γ01
-1.904153
1.664668 -1.144
202
Final estimation of variance components
Random Effect Standard Deviation Variance Component
INTRCPT1, u0
9.21078
84.83853
level-1, r
19.48548
379.68375
Statistics for current covariance components model
Deviance = 17855.365156
Number of estimated parameters = 2
2
p-value
<0.001
0.257
p-value
<0.001
0.254
d.f.
χ2
p-value
202 643.79894 <0.001
Model C1
Specifications for this HLM2 run
The command file for this run = C:\Users\reb7925\AppData\Local\Temp\whlmtemp.hlm
Output file name = C:\Users\reb7925\Dropbox\NYU\workshop\Day 1 final materials\hlm2.html
Summary of the model specified
Level-1 Model
S2Q3_PPij = β0j + β1j*(AGE_PPij) + rij
Level-2 Model
β0j = γ00 + u0j
β1j = γ10
AGE_PP has been centered around the group mean.
Mixed Model
S2Q3_PPij = γ00
+ γ10*AGE_PPij + u0j+ rij
Final Results - Iteration 6
Iterations stopped due to small change in likelihood function
σ2 = 344.18288
τ
INTRCPT1,β0
88.76815
Random level-1 coefficient Reliability estimate
INTRCPT1,β0
0.716
The value of the log-likelihood function at iteration 6 = -8.841438E+003
Final estimation of fixed effects:
Fixed Effect
Coefficient Standard error t-ratio Approx. d.f.
For INTRCPT1, β0
INTRCPT2, γ00 18.751389
0.779444 24.057
203
For AGE_PP slope, β1
INTRCPT2, γ10
2.937342
0.214874 13.670
1803
Final estimation of fixed effects (with robust standard errors)
Fixed Effect
Coefficient Standard error t-ratio Approx. d.f.
For INTRCPT1, β0
INTRCPT2, γ00 18.751389
0.777530 24.117
203
For AGE_PP slope, β1
INTRCPT2, γ10
2.937342
0.233197 12.596
1803
Final estimation of variance components
Random Effect Standard Deviation Variance Component
INTRCPT1, u0
9.42168
88.76815
level-1, r
18.55217
344.18288
Statistics for current covariance components model
Deviance = 17682.875573
Number of estimated parameters = 2
3
p-value
<0.001
<0.001
p-value
<0.001
<0.001
d.f.
χ2
p-value
203 714.12253 <0.001
Model C2
Specifications for this HLM2 run
The command file for this run = C:\Users\reb7925\AppData\Local\Temp\whlmtemp.hlm
Output file name = C:\Users\reb7925\Dropbox\NYU\workshop\Day 1 final materials\hlm2.html
Summary of the model specified
Level-1 Model
S2Q3_PPij = β0j + β1j*(AGE_PPij) + rij
Level-2 Model
β0j = γ00 + u0j
β1j = γ10
Mixed Model
S2Q3_PPij = γ00
+ γ10*AGE_PPij + u0j+ rij
Final Results - Iteration 6
Iterations stopped due to small change in likelihood function
σ2 = 344.28418
τ
INTRCPT1,β0
74.33454
Random level-1 coefficient Reliability estimate
INTRCPT1,β0
0.679
The value of the log-likelihood function at iteration 6 = -8.829175E+003
Final estimation of fixed effects:
Fixed Effect
Coefficient Standard error t-ratio Approx. d.f.
For INTRCPT1, β0
INTRCPT2, γ00 -15.957230
2.487958 -6.414
203
For AGE_PP slope, β1
INTRCPT2, γ10
3.043727
0.208556 14.594
1803
Final estimation of fixed effects
(with robust standard errors)
Fixed Effect
Coefficient Standard error t-ratio
For INTRCPT1, β0
INTRCPT2, γ00 -15.957230
2.568638 -6.212
For AGE_PP slope, β1
INTRCPT2, γ10
3.043727
0.223947 13.591
Final estimation of variance components
Random Effect Standard Deviation Variance Component
INTRCPT1, u0
8.62175
74.33454
level-1, r
18.55490
344.28418
Statistics for current covariance components model
Deviance = 17658.349542
Number of estimated parameters = 2
4
p-value
<0.001
<0.001
Approx. d.f.
p-value
203
<0.001
1803
<0.001
d.f.
χ2
p-value
203 631.69084 <0.001
Model C3
Specifications for this HLM2 run
The command file for this run = C:\Users\reb7925\AppData\Local\Temp\whlmtemp.hlm
Output file name = C:\Users\reb7925\Dropbox\NYU\workshop\Day 1 final materials\hlm2.html
Summary of the model specified
Level-1 Model
S2Q3_PPij = β0j + β1j*(AGE_PPij) + rij
Level-2 Model
β0j = γ00 + u0j
β1j = γ10
AGE_PP has been centered around the grand mean.
Mixed Model
S2Q3_PPij = γ00
+ γ10*AGE_PPij + u0j+ rij
Final Results - Iteration 6
Iterations stopped due to small change in likelihood function
σ2 = 344.28418
τ
INTRCPT1,β0
74.33454
Random level-1 coefficient Reliability estimate
INTRCPT1,β0
0.679
The value of the log-likelihood function at iteration 6 = -8.829175E+003
Final estimation of fixed effects:
Fixed Effect
Coefficient Standard error t-ratio Approx. d.f.
For INTRCPT1, β0
INTRCPT2, γ00 18.734887
0.732629 25.572
203
For AGE_PP slope, β1
INTRCPT2, γ10
3.043727
0.208556 14.594
1803
Final estimation of fixed effects
(with robust standard errors)
Fixed Effect
Coefficient Standard error t-ratio
For INTRCPT1, β0
INTRCPT2, γ00 18.734887
0.730663 25.641
For AGE_PP slope, β1
INTRCPT2, γ10
3.043727
0.223947 13.591
Final estimation of variance components
Random Effect Standard Deviation Variance Component
INTRCPT1, u0
8.62175
74.33454
level-1, r
18.55490
344.28418
Statistics for current covariance components model
Deviance = 17658.349542
Number of estimated parameters = 2
5
p-value
<0.001
<0.001
Approx. d.f.
p-value
203
<0.001
1803
<0.001
d.f.
χ2
p-value
203 631.69084 <0.001
Model C4
Specifications for this HLM2 run
Output file name = C:\Users\reb7925\Dropbox\NYU\workshop\Day 1 final materials\hlm2.html
Summary of the model specified
Level-1 Model
S2Q3_PPij = β0j + β1j*(AGE_PPij) + rij
Level-2 Model
β0j = γ00 + γ01*(AGE_PP_Mj) + u0j
β1j = γ10
AGE_PP has been centered around the group mean.
AGE_PP_M has been centered around the grand mean.
Mixed Model
S2Q3_PPij = γ00 + γ01*AGE_PP_Mj
+ γ10*AGE_PPij + u0j+ rij
Final Results - Iteration 6
Iterations stopped due to small change in likelihood function
σ2 = 344.29592
τ
INTRCPT1,β0
72.67563
Random level-1 coefficient Reliability estimate
INTRCPT1,β0
0.674
The value of the log-likelihood function at iteration 6 = -8.825438E+003
Final estimation of fixed effects:
Fixed Effect
Coefficient Standard error t-ratio Approx. d.f.
For INTRCPT1, β0
INTRCPT2, γ00
18.745596
0.727059 25.783
202
AGE_PP_M, γ01
4.768899
0.861522 5.535
202
For AGE_PP slope, β1
INTRCPT2, γ10
2.937342
0.214910 13.668
1803
Final estimation of fixed effects (with robust standard errors)
Fixed Effect
Coefficient Standard error t-ratio Approx. d.f.
For INTRCPT1, β0
INTRCPT2, γ00
18.745596
0.723550 25.908
202
AGE_PP_M, γ01
4.768899
0.911168 5.234
202
For AGE_PP slope, β1
INTRCPT2, γ10
2.937342
0.233197 12.596
1803
Final estimation of variance components
Random Effect Standard Deviation Variance Component
INTRCPT1, u0
8.52500
72.67563
level-1, r
18.55521
344.29592
Statistics for current covariance components model
Deviance = 17650.875822
Number of estimated parameters = 2
6
p-value
<0.001
<0.001
<0.001
p-value
<0.001
<0.001
<0.001
d.f.
χ2
p-value
202 619.21010 <0.001
Model C5
Specifications for this HLM2 run
Output file name = C:\Users\reb7925\Dropbox\NYU\workshop\Day 1 final materials\hlm2.html
Summary of the model specified
Level-1 Model
S2Q3_PPij = β0j + β1j*(AGE_PPij) + rij
Level-2 Model
β0j = γ00 + γ01*(AGE_PP_Mj) + u0j
β1j = γ10
AGE_PP has been centered around the grand mean.
AGE_PP_M has been centered around the grand mean.
Mixed Model
S2Q3_PPij = γ00 + γ01*AGE_PP_Mj
+ γ10*AGE_PPij + u0j+ rij
Final Results - Iteration 6
Iterations stopped due to small change in likelihood function
σ2 = 344.26363
τ
INTRCPT1,β0
72.67217
Random level-1 coefficient Reliability estimate
INTRCPT1,β0
0.674
The value of the log-likelihood function at iteration 6 = -8.825347E+003
Final estimation of fixed effects:
Fixed Effect
Coefficient Standard error t-ratio Approx. d.f.
For INTRCPT1, β0
INTRCPT2, γ00
18.735645
0.727037 25.770
202
AGE_PP_M, γ01
1.828468
0.887923 2.059
202
For AGE_PP slope, β1
INTRCPT2, γ10
2.938112
0.214851 13.675
1803
Final estimation of fixed effects (with robust standard errors)
Fixed Effect
Coefficient Standard error t-ratio Approx. d.f.
For INTRCPT1, β0
INTRCPT2, γ00
18.735645
0.723455 25.897
202
AGE_PP_M, γ01
1.828468
0.952496 1.920
202
For AGE_PP slope, β1
INTRCPT2, γ10
2.938112
0.232997 12.610
1803
Final estimation of variance components
Random Effect Standard Deviation Variance Component
INTRCPT1, u0
8.52480
72.67217
level-1, r
18.55434
344.26363
Statistics for current covariance components model
Deviance = 17650.694458
Number of estimated parameters = 2
7
p-value
<0.001
0.041
<0.001
p-value
<0.001
0.056
<0.001
d.f.
χ2
p-value
202 619.32541 <0.001