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Mixed Effects Model for Percent Body Fat with Random Intercept |
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Hybrid Model with Exponential Serial Correlation |
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MIT Growth and Development Study |
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The Mixed Procedure |
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Model Information |
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Data Set |
WORK.FAT |
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Dependent Variable |
pbf |
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Covariance Structures |
Unstructured, Spatial Exponential |
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Subject Effects |
id, id |
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Estimation Method |
REML |
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Residual Variance Method |
Profile |
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Fixed Effects SE Method |
Model-Based |
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Degrees of Freedom Method |
Containment |
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Class Level Information |
||
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Class |
Levels |
Values |
|
id |
162 |
not printed |
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Dimensions |
|
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Covariance Parameters |
4 |
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Columns in X |
3 |
|
Columns in Z Per Subject |
1 |
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Subjects |
162 |
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Max Obs Per Subject |
10 |
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Observations Used |
1049 |
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Observations Not Used |
0 |
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Total Observations |
1049 |
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Iteration History |
|||
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Iteration |
Evaluations |
-2 Res Log Like |
Criterion |
|
0 |
1 |
7073.41750695 |
|
|
1 |
3 |
6013.20961208 |
0.00391220 |
|
2 |
1 |
6003.54699439 |
0.00113583 |
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3 |
2 |
6001.03956295 |
0.00045032 |
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4 |
1 |
5999.99584548 |
0.00005112 |
|
5 |
1 |
5999.88044924 |
0.00000242 |
|
6 |
1 |
5999.87535265 |
0.00000001 |
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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 |
28.7625 |
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Covariance Parameter Estimates |
|||||
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Cov Parm |
Subject |
Estimate |
Standard Error |
Z Value |
Pr Z |
|
UN(1,1) |
id |
28.7625 |
4.6549 |
6.18 |
<.0001 |
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Variance |
id |
17.0015 |
2.3368 |
7.28 |
<.0001 |
|
SP(EXP) |
id |
2.3640 |
0.5897 |
4.01 |
<.0001 |
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Residual |
|
2.5999 |
0.8391 |
3.10 |
0.0010 |
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Fit Statistics |
|
|
-2 Res Log Likelihood |
5999.9 |
|
AIC (smaller is better) |
6007.9 |
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AICC (smaller is better) |
6007.9 |
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BIC (smaller is better) |
6020.2 |
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Solution for Fixed Effects |
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Effect |
Estimate |
Standard Error |
DF |
t Value |
Pr > |t| |
|
Intercept |
21.2577 |
0.5406 |
161 |
39.32 |
<.0001 |
|
time |
0.2286 |
0.1440 |
885 |
1.59 |
0.1129 |
|
time_0 |
2.1646 |
0.2282 |
885 |
9.49 |
<.0001 |
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Type 3 Tests of Fixed Effects |
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Effect |
Num DF |
Den DF |
Chi-Square |
F Value |
Pr > ChiSq |
Pr > F |
|
time |
1 |
885 |
2.52 |
2.52 |
0.1125 |
0.1129 |
|
time_0 |
1 |
885 |
89.99 |
89.99 |
<.0001 |
<.0001 |