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Table 2 Performance of the prediction models for percentage mammographic density (PMD)

From: Predicting mammographic density with linear ultrasound transducers

Prediction model

Apparent measures

Cross-validated measures

MSE

R2

MSE

R2

M0: Null model

0.0396

0.000

0.0400

 − 0.021

M1: Linear regression

0.0281

0.289

0.0391

 − 0.002

M2: Linear regression with variable selection

0.0285

0.280

0.0386

0.011

M3: Cubic splines

0.0187

0.528

0.0370

0.053

M4: Cubic splines with variable selection

0.0200

0.494

0.0346

0.114

M5: Lasso

0.0294

0.256

0.0367

0.061

M6: Ridge regression

0.0308

0.222

0.0368

0.060

M7: Random forest

0.0049

0.876

0.0291

0.255

  1. MSE mean squared error