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FEVExample2 - Subject-specific observed profiles of...

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logfev1 -0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 age 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Subject-specific observed profiles of log(fev1) vs age First 50 subjects in Six Cities Study
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Model 1: A simple broken stick model with knot at 14 fit with ML 1 With random subject-specific intercepts The Mixed Procedure Model Information Data Set WORK.FEV Dependent Variable logfev1 Covariance Structure Unstructured Subject Effect id Estimation Method ML Residual Variance Method Profile Fixed Effects SE Method Model-Based Degrees of Freedom Method Containment Class Level Information Class Levels Values id 299 not printed Dimensions Covariance Parameters 2 Columns in X 3 Columns in Z Per Subject 1 Subjects 299 Max Obs Per Subject 12 Number of Observations Number of Observations Read 1993 Number of Observations Used 1993 Number of Observations Not Used 0 Iteration History Iteration Evaluations -2 Log Like Criterion 0 1 -2024.23711896 1 2 -3985.32127682 0.00021849 2 1 -3986.22690484 0.00000430 3 1 -3986.24355839 0.00000000 Convergence criteria met.
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Model 1: A simple broken stick model with knot at 14 fit with ML 2 With random subject-specific intercepts The Mixed Procedure Covariance Parameter Estimates Standard Z Cov Parm Subject Estimate Error Value Pr > Z UN(1,1) id 0.01674 0.001480 11.31 <.0001 Residual 0.005141 0.000177 29.13 <.0001 Fit Statistics -2 Log Likelihood -3986.2 AIC (smaller is better) -3976.2 AICC (smaller is better) -3976.2 BIC (smaller is better) -3957.7 Null Model Likelihood Ratio Test DF Chi-Square Pr > ChiSq 1 1962.01 <.0001 Solution for Fixed Effects Standard Effect Estimate Error DF t Value Pr > |t| Intercept -0.5627 0.01225 298 -45.92 <.0001 age 0.1154 0.000890 1692 129.70 <.0001 age140plus -0.09219 0.002217 1692 -41.58 <.0001 Type 3 Tests of Fixed Effects Num Den Effect DF DF Chi-Square F Value Pr > ChiSq Pr > F age 1 1692 16822.0 16822.0 <.0001 <.0001 age140plus 1 1692 1729.14 1729.14 <.0001 <.0001
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logfev1 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 age 7 8 9 10 11 12 13 14 15 16 17 18 19 Plot of observed and predicted logfev1 vs age curve - model 1 Subject number 35 logfev1 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 age 7 8 9 10 11 12 13 14 15 16 17 18 Plot of observed and predicted logfev1 vs age curve - model 1 Subject number 10
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