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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.