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Table 14 Statistical description of stochastic efficiency change (SEC)

From: A firm-specific Malmquist productivity index model for stochastic data envelopment analysis: an application to commercial banks

Alpha

Indicators

2014–2015

2015–2016

2016–2017

2017–2018

2018–2019

2019–2020

2020–2021

0.1

Min

0.9250

0.8832

0.6790

0.8528

0.9021

0.6378

0.9875

Median

0.9962

0.9785

1.0241

1.0120

0.9973

0.8793

1.0055

Max

1.1381

1.0826

1.1207

1.4938

1.5339

1.0291

1.2420

Mean

1.0109

0.9745

0.9640

1.0403

1.0591

0.8600

1.0257

Std

0.0520

0.0527

0.1263

0.1401

0.1599

0.0986

0.0606

0.3

Min

0.9228

0.8702

0.6310

0.8691

0.9202

0.6085

0.9752

Median

0.9957

0.9798

1.0221

1.0133

0.9984

0.8763

1.0072

Max

1.1097

1.0984

1.1280

1.4269

1.6133

1.0293

1.2836

Mean

1.0064

0.9739

0.9553

1.0439

1.0657

0.8579

1.0299

Std

0.0447

0.0585

0.1352

0.1284

0.1777

0.1076

0.0725

0.5

Min

0.5590

0.6244

0.1498

0.8197

0.7056

0.4074

0.9516

Median

1.0887

0.9684

0.9612

1.0165

0.9977

0.8720

1.0091

Max

1.3864

1.4419

1.4004

1.3501

2.1358

1.9014

1.3199

Mean

1.0143

0.9791

0.9562

1.0452

1.0710

1.0058

1.0350

Std

0.2206

0.2021

0.3222

0.1196

0.3076

0.4388

0.0828