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Table 2 Maximum likelihood estimates of dynamic random effects model for Weight, HDL and LDL of the subjects in the Framingham offspring study in the 4 exams explained by demographic, behavioral and anthropometric variables1,2

From: A longitudinal analysis of the risk factors for diabetes and coronary heart disease in the Framingham Offspring Study

  Dependent variable
Independent variable Weight n = 2481 HDL n = 2481 LDL3 n = 2503
  Coefficient SE Coefficient SE Coefficient SE
Constant 1.303* 0.136 3.6750* 0.032 2.106* 0.451
Sex -0.050* 0.008 0.100* 0.012 -0.023 0.023
Age2 0.240* 0.018 0.035* 0.004 -0.203* 0.060
Age-squared2 -0.033* 0.002 -0.005* 0.001 0.053* 0.004
Physical activity score -0.001* 0.0006 0.002* 0.001 0.001 0.002
Alcohol index 0.0007* 0.0002 0.007* 0.001 -0.001 0.001
Cigarettes smoked -0.0007* 0.0001 -0.002* 0.0002 0.001* 0.0003
Height2 0.796* 0.097 0.747* 0.087 -1.291* 0.174
Weight2 - - -0.469* 0.030 0.461* 0.055
Lagged dependent variable2 0.495* 0.053 0.453* 0.017 0.305* 0.114
Indicator variable for Exam 3 0.012* 0.002 0.077* 0.005 0.005 0.007
Indicator variable for Exam 4 0.014* 0.003 0.032* 0.004 - -
Chi-square statistic4, df = 4 -   20.2*   26.7*  
Chi-square statistic5, df = 1 -   31.3*   57.3*  
  1. 1 Values are slope coefficients and standard errors; see equations (1) and (3) in the text for the explanation of the models. 2 The dependent and the marked independent variables were in natural logarithms. 3 Only 3 time observations were available on LDL. 4 Chi-square test for the exogeneity of the mean over time of body weight. 5 Chi-square test for combining height and weight as the BMI. * P < 0.05.