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Table 2 Parameter estimates and 95% credibility intervals for the event process under the joint modeling analysis with different association structures

From: Studying the association between longitudinal mammographic density measurements and breast cancer risk: a joint modelling approach

 

Coefficient

2.5%

97.5%

Exp(Coeff.)*

P

Model (1)

   BMI (\(\gamma _1\))

0.034

0.009

0.055

1.034

0.003

   MHT\(_1\) (\(\gamma _2\))

− 0.078

− 0.306

0.156

0.925

0.507

   MHT\(_2\) (\(\gamma _3\))

0.400

0.016

0.728

1.492

0.039

   FH\(_1\) (\(\gamma _4\))

0.518

0.280

0.717

1.678

0.000

   FH\(_2\) (\(\gamma _5\))

0.060

− 0.476

0.571

1.062

0.790

   Current value (\(\alpha\))

0.130

0.081

0.174

1.139

0.000

Model (2)

   BMI (\(\gamma _1\))

0.034

0.008

0.057

1.035

0.007

   MHT\(_1\) (\(\gamma _2\))

− 0.087

− 0.322

0.153

0.917

0.509

   MHT\(_2\) (\(\gamma _3\))

0.400

0.020

0.730

1.492

0.037

   FH\(_1\) (\(\gamma _4\))

0.514

0.305

0.718

1.672

0.000

   FH\(_2\) (\(\gamma _5\))

0.058

− 0.487

0.538

1.060

0.777

   Current value (\(\alpha _1\))

0.120

0.071

0.168

1.127

0.000

   Current slope (\(\alpha _2\))

− 1.160

− 2.003

− 0.334

0.313

0.005

Model (3)

   BMI (\(\gamma _1\))

0.039

0.019

0.060

1.040

0.000

   MHT\(_1\) (\(\gamma _2\))

− 0.067

− 0.296

0.170

0.964

0.612

   MHT\(_2\) (\(\gamma _3\))

0.404

0.019

0.725

1.498

0.036

   FH\(_1\) (\(\gamma _4\))

0.511

0.301

0.720

1.667

0.000

   FH\(_2\) (\(\gamma _5\))

0.064

− 0.506

0.572

1.066

0.788

   Cumulative value \((\alpha\))

0.008

0.005

0.011

1.008

0.000

  1. BMI: body mass index; MHT: menopausal hormone treatment (MHT1=former use, MHT2=current use); FH: family history (FH1=yes, FH2=missing); *: represents multiplicative change in risk per 1-unit increase in the parameter value