Data

Variable

Traditional factor analysis

Robust factor analysis

Before rotation

After rotation

Before rotation

After rotation

Factor 1

Factor 2

Factor 1

Factor 2

Factor 1

Factor 2

Factor 1

Factor 2

Normal set of data

X1

0.665

-0.696

−0.0124

0.9623

0.687

−0.701

0.0505

0.9801

X2

0.714

-0.666

0.0439

0.9750

0.715

−0.688

0.0805

0.9890

X3

0.761

−0.595

0.1270

0.9577

0.678

−0.695

0.0478

0.9701

X4

0.840

0.395

0.8762

0.3059

0.873

0.332

0.8739

0.3294

X5

0.859

0.412

0.9016

0.3068

0.864

0.415

0.9217

0.2614

X6

0.614

0.685

0.9182

−0.0591

0.689

0.641

0.9408

−0.0234

X7

0.333

0.853

0.8352

−0.3761

0.433

0.820

0.8680

−0.3278

Data with an outlier

X1

0.602

0.764

0.00473

0.9727

0.606

−0.772

0.0505

0.9801

X2

0.796

0.570

0.27701

0.9395

0.673

−0.730

0.0805

0.9890

X3

0.783

0.586

0.25685

0.9434

0.650

−0.740

0.0478

0.9701

X4

0.923

−0.285

0.90261

0.3434

0.830

0.413

0.8739

0.3294

X5

0.935

−0.292

0.91678

0.3449

0.852

0.403

0.9217

0.2614

X6

0.783

−0.505

0.92830

0.0834

0.725

0.589

0.9408

−0.0234

X7

0.772

−0.571

0.96012

0.0251

0.413

0.792

0.8680

−0.3278

Data with four outliers

X1

0.655

0.717

0.0657

0.969

0.687

−0.701

0.0505

0.9801

X2

0.849

0.478

0.3664

0.903

0.715

−0.688

0.0805

0.9890

X3

0.837

0.514

0.3351

0.923

0.678

−0.695

0.0478

0.9701

X4

0.875

−0.361

0.9094

0.262

0.873

0.332

0.8739

0.3294

X5

0.850

−0.369

0.8952

0.240

0.864

0.415

0.9217

0.2614

X6

0.845

−0.434

0.9312

0.187

0.689

0.641

0.9408

−0.0234

X7

0.771

−0.401

0.8536

0.166

0.433

0.820

0.8680

−0.3278