|
Mixed Effects Model for Percent Body Fat with Random Intercept |
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Hybrid Model with Gaussian Serial Correlation |
|
MIT Growth and Development Study |
|
The Mixed Procedure |
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Model Information |
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Data Set |
WORK.FAT |
|
Dependent Variable |
pbf |
|
Covariance Structures |
Unstructured, Spatial Gaussian |
|
Subject Effects |
id, id |
|
Estimation Method |
REML |
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Residual Variance Method |
Profile |
|
Fixed Effects SE Method |
Model-Based |
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Degrees of Freedom Method |
Containment |
|
Class Level Information |
||
|
Class |
Levels |
Values |
|
id |
162 |
not printed |
|
Dimensions |
|
|
Covariance Parameters |
4 |
|
Columns in X |
3 |
|
Columns in Z Per Subject |
1 |
|
Subjects |
162 |
|
Max Obs Per Subject |
10 |
|
Observations Used |
1049 |
|
Observations Not Used |
0 |
|
Total Observations |
1049 |
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Iteration History |
|||
|
Iteration |
Evaluations |
-2 Res Log Like |
Criterion |
|
0 |
1 |
7073.41750695 |
|
|
1 |
2 |
6046.83963889 |
0.00088985 |
|
2 |
1 |
6046.60657656 |
0.00036194 |
|
3 |
1 |
6045.06567479 |
0.00027329 |
|
4 |
2 |
6030.71782040 |
0.24785953 |
|
5 |
2 |
6016.43276279 |
0.00922869 |
|
6 |
2 |
6009.16531015 |
0.00695863 |
|
7 |
1 |
5992.81412622 |
0.00073273 |
|
8 |
1 |
5991.20552295 |
0.00001561 |
|
9 |
1 |
5991.17322779 |
0.00000001 |
|
10 |
1 |
5991.17320465 |
0.00000000 |
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Convergence criteria met. |
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Estimated G Matrix |
|||
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Row |
Effect |
id |
Col1 |
|
1 |
Intercept |
1 |
31.7913 |
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Covariance Parameter Estimates |
|||||
|
Cov Parm |
Subject |
Estimate |
Standard Error |
Z Value |
Pr Z |
|
UN(1,1) |
id |
31.7913 |
4.2315 |
7.51 |
<.0001 |
|
Variance |
id |
10.8988 |
1.2118 |
8.99 |
<.0001 |
|
SP(GAU) |
id |
1.9630 |
0.1844 |
10.65 |
<.0001 |
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Residual |
|
5.7765 |
0.5146 |
11.23 |
<.0001 |
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Fit Statistics |
|
|
-2 Res Log Likelihood |
5991.2 |
|
AIC (smaller is better) |
5999.2 |
|
AICC (smaller is better) |
5999.2 |
|
BIC (smaller is better) |
6011.5 |
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Solution for Fixed Effects |
|||||
|
Effect |
Estimate |
Standard Error |
DF |
t Value |
Pr > |t| |
|
Intercept |
21.2918 |
0.5400 |
161 |
39.43 |
<.0001 |
|
time |
0.2168 |
0.1439 |
885 |
1.51 |
0.1323 |
|
time_0 |
2.1655 |
0.2331 |
885 |
9.29 |
<.0001 |
|
Type 3 Tests of Fixed Effects |
||||||
|
Effect |
Num DF |
Den DF |
Chi-Square |
F Value |
Pr > ChiSq |
Pr > F |
|
time |
1 |
885 |
2.27 |
2.27 |
0.1320 |
0.1323 |
|
time_0 |
1 |
885 |
86.32 |
86.32 |
<.0001 |
<.0001 |