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Mixed Effects Model for Percent Body Fat with Random Intercept and Slopes before and after Menarche |
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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 Structure |
Unstructured |
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Subject Effect |
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 |
7 |
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Columns in X |
3 |
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Columns in Z Per Subject |
3 |
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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 |
2 |
6063.49976979 |
0.00045902 |
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2 |
1 |
6062.44105637 |
0.00001857 |
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3 |
1 |
6062.40145176 |
0.00000004 |
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4 |
1 |
6062.40136458 |
0.00000000 |
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Convergence criteria met. |
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Estimated G Matrix |
|||||
|
Row |
Effect |
id |
Col1 |
Col2 |
Col3 |
|
1 |
Intercept |
1 |
45.9413 |
2.5263 |
-6.1096 |
|
2 |
time |
1 |
2.5263 |
1.6311 |
-1.7505 |
|
3 |
time_0 |
1 |
-6.1096 |
-1.7505 |
2.7497 |
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Estimated G Correlation Matrix |
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|
Row |
Effect |
id |
Col1 |
Col2 |
Col3 |
|
1 |
Intercept |
1 |
1.0000 |
0.2918 |
-0.5436 |
|
2 |
time |
1 |
0.2918 |
1.0000 |
-0.8266 |
|
3 |
time_0 |
1 |
-0.5436 |
-0.8266 |
1.0000 |
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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 |
45.9413 |
5.7393 |
8.00 |
<.0001 |
|
UN(2,1) |
id |
2.5263 |
1.2185 |
2.07 |
0.0382 |
|
UN(2,2) |
id |
1.6311 |
0.4331 |
3.77 |
<.0001 |
|
UN(3,1) |
id |
-6.1096 |
1.8730 |
-3.26 |
0.0011 |
|
UN(3,2) |
id |
-1.7505 |
0.5980 |
-2.93 |
0.0034 |
|
UN(3,3) |
id |
2.7497 |
0.9635 |
2.85 |
0.0022 |
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Residual |
|
9.4732 |
0.5443 |
17.40 |
<.0001 |
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Fit Statistics |
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-2 Res Log Likelihood |
6062.4 |
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AIC (smaller is better) |
6076.4 |
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AICC (smaller is better) |
6076.5 |
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BIC (smaller is better) |
6098.0 |
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Solution for Fixed Effects |
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|
Effect |
Estimate |
Standard Error |
DF |
t Value |
Pr > |t| |
|
Intercept |
21.3614 |
0.5646 |
161 |
37.84 |
<.0001 |
|
time |
0.4171 |
0.1572 |
161 |
2.65 |
0.0087 |
|
time_0 |
2.0471 |
0.2280 |
159 |
8.98 |
<.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 |
161 |
7.04 |
7.04 |
0.0080 |
0.0087 |
|
time_0 |
1 |
159 |
80.64 |
80.64 |
<.0001 |
<.0001 |