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Table 2 Optimal coefficients obtained by maximizing the ULBA and EHUM objective functions using the SCOR, NM and step-down algorithms

From: Estimating the optimal linear combination of predictors using spherically constrained optimization

Markers

ULBA (SCOR)

ULBA (NM)

ULBA (ST)

EHUM (SCOR)

EHUM (NM)

EHUM (ST)

Cricopharyngeal muscle

0.243

0.703

0.137

0.293

0.697

0.137

Esophagus

0.518

0.293

0.302

0.600

0.299

0.302

Glottic area

– 0.080

0.534

0.061

– 0.100

0.539

0.061

Inferior PC

0.345

0.000

0.211

0.220

0.000

0.211

Ipsilateral ADM

0.311

0.216

0.092

– 0.009

0.215

0.092

Middle PC

0.509

0.102

0.698

0.570

0.097

0.698

Mylohyoid muscle

0.229

0.066

0.503

0.210

0.065

0.503

Superior PC

0.079

0.132

0.306

0.226

0.128

0.306

Intrinsic tongue muscles

0.365

0.237

0.000

0.274

0.239

0.000

\(D_E(\hat{\beta })\)

0.419

0.341

0.399

0.413

0.341

0.399

Youden Index

0.471

0.334

0.408

0.428

0.334

0.408

  1. The EHUM objective function values at all the obtained solutions and the estimated Youden’s Index are reported in the last two rows. The result for the method with the best performance is marked in bold