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Table 5 Average hyperbolic and directional distance function efficiency measures with strong and weak disposability and their PACS, 1992–2003

From: The potential cost of regulation of methane and nitrous oxide emissions in U.S. agriculture

States

Hyperbolic

DDF

\(\lambda^{s}\)

\(\lambda^{w}\)

\(\lambda^{s} - \lambda^{w}\)

\(\beta^{s}\)

\(\beta^{w}\)

\(\beta^{s} - \beta^{w}\)

AL

1.4748

1.4034

0.0714

0.3572

0.3176

0.0397

AR

1.0072

1.0000

0.0072

0.0069

0.0000

0.0069

AZ

1.0133

1.0075

0.0058

0.0128

0.0072

0.0056

CA

1.0030

1.0030

0.0000

0.0030

0.0030

0.0000

CO

1.0753

1.0619

0.0134

0.0717

0.0594

0.0123

CT

1.0438

1.0329

0.0109

0.0421

0.0320

0.0101

DE

1.1253

1.0000

0.1253

0.1148

0.0000

0.1148

FL

1.0011

1.0000

0.0011

0.0011

0.0000

0.0011

GA

1.1709

1.0980

0.0729

0.1560

0.0929

0.0631

IA

1.0080

1.0061

0.0019

0.0078

0.0060

0.0019

ID

1.0166

1.0164

0.0003

0.0162

0.0160

0.0003

IL

1.0109

1.0076

0.0033

0.0104

0.0072

0.0032

IN

1.0685

1.0570

0.0116

0.0646

0.0539

0.0107

KS

1.1671

1.1555

0.0116

0.1469

0.1376

0.0093

KY

1.1276

1.1268

0.0008

0.1162

0.1155

0.0007

LA

1.1063

1.1063

0.0000

0.0985

0.0985

0.0000

MA

1.0010

1.0000

0.0010

0.0010

0.0000

0.0010

MD

1.2709

1.1842

0.0866

0.2311

0.1647

0.0664

ME

1.2583

1.2104

0.0478

0.2236

0.1862

0.0373

MI

1.1644

1.1181

0.0463

0.1496

0.1105

0.0391

MN

1.1059

1.0841

0.0218

0.0974

0.0781

0.0193

MO

1.0245

1.0245

0.0000

0.0221

0.0221

0.0000

MS

1.1994

1.1994

0.0000

0.1738

0.1738

0.0000

MT

1.2568

1.2172

0.0395

0.2201

0.1889

0.0312

NC

1.0323

1.0093

0.0230

0.0313

0.0091

0.0222

ND

1.0908

1.0741

0.0167

0.0853

0.0701

0.0152

NE

1.0497

1.0476

0.0021

0.0473

0.0454

0.0020

NH

1.0000

1.0000

0.0000

0.0000

0.0000

0.0000

NJ

1.0166

1.0000

0.0166

0.0162

0.0000

0.0162

NM

1.0512

1.0320

0.0192

0.0476

0.0304

0.0173

NV

1.0031

1.0031

0.0000

0.0030

0.0030

0.0000

NY

1.0362

1.0362

0.0000

0.0340

0.0340

0.0000

OH

1.0819

1.0610

0.0209

0.0765

0.0571

0.0194

OK

1.4605

1.4580

0.0025

0.3561

0.3547

0.0014

OR

1.0446

1.0195

0.0251

0.0424

0.0191

0.0233

PA

1.1828

1.1714

0.0115

0.1621

0.1515

0.0106

RI

1.0058

1.0000

0.0058

0.0057

0.0000

0.0057

SC

1.2518

1.1584

0.0934

0.2192

0.1449

0.0744

SD

1.1173

1.1023

0.0150

0.1077

0.0942

0.0134

TN

1.1646

1.1646

0.0000

0.1482

0.1482

0.0000

TX

1.4205

1.4197

0.0008

0.3322

0.3317

0.0005

UT

1.0494

1.0469

0.0025

0.0466

0.0444

0.0023

VA

1.3086

1.3039

0.0047

0.2600

0.2566

0.0034

VT

1.0308

1.0252

0.0056

0.0290

0.0239

0.0050

WA

1.0141

1.0006

0.0135

0.0138

0.0006

0.0132

WI

1.1861

1.1740

0.0120

0.1659

0.1552

0.0108

WV

1.1587

1.0935

0.0651

0.1391

0.0868

0.0522

WY

1.0431

1.0421

0.0010

0.0395

0.0386

0.0009

Average

1.1146

1.0951

0.0195

0.0990

0.0827

0.0163