Appendix B. The Naylor-Shine Table for Determining the Increase in Mean Criterion Score Obtained by Using a Selection Device

Using the Table

The following definitions are used in the table:

rxy

=

Validity coefficient

Zxi

=

Cutoff point (score) on the predictor in standard-score units

φI

=

Selection ratio

Using the Tableyi

=

mean criterion score (in standard-score units) of all cases above cutoff

λI

=

Ordinate of normal distribution at Zxi

And the table is based upon the following equation:

Using the Table

Note: The use of the table may differ slightly in the case where rxy is really a multiple regression coefficient. The major difference occurs in the Zxi column. With a single predictor, there is no difficulty in expressing a cutoff score in terms of a particular value of X, the predictor variable (thus, we use Zxi). However, in the case of multiple predictors, it is no longer feasible to do so because there are several X variables. The easiest procedure, therefore, is to reduce conceptually the multivariate case to the bivariate case by treating the multiple correlation coefficient as the correlation coefficient between the observed criterion scores (Zy) and the predicted criterion scores (Z′y). Thus it becomes possible to talk about cutoff values for the multiple predictor case, but these cutoff scores are expressed in terms of Z′yi values rather than Zxi values. The only difficulty this creates is that s2z′y ≠ 1, but will always be equal to R2xy, the squared multiple correlation coefficient. Thus, to use the tables when rxy is actually a multiple correlation coefficient, it is necessary to transform Z′yi values by the following:

Using the Table

Table B-1. A Table for Computing the Mean Criterion Score (Zyi) for the Group Falling above Some Cutoff Score (Zxi)

<source>Source: J.C. Naylor and L.C. Shine, “A Table for Determining the Increase in Mean Criterion Score Obtained by Using a Selection Device.” Journal of Industrial Psychology, 3, 1965, 33-42. Used by permission.</source>

φi

Zxi

λi

λii

φi

Zxi

λi

λii

φi

Zxi

λi

λii

0.9987

−3.00

0.0044

0.00

0.9974

−2.79

0.0081

0.01

0.9951

−2.58

0.0143

0.01

0.9986

−2.99

0.0046

0.00

0.9973

−2.78

0.0084

0.01

0.9949

−2.57

0.0147

0.01

0.9986

−2.98

0.0047

0.00

0.9972

−2.77

0.0086

0.01

0.9948

−2.56

0.0151

0.02

0.9985

−2.97

0.0048

0.00

0.9971

−2.76

0.0088

0.01

0.9946

−2.55

0.0154

0.02

0.9985

−2.96

0.0050

0.01

0.9970

−2.75

0.0091

0.01

0.9945

−2.54

0.0158

0.02

0.9984

−2.95

0.0051

0.01

0.9969

−2.74

0.0093

0.01

0.9943

−2.53

0.0163

0.02

0.9984

−2.94

0.0053

0.01

0.9968

−2.73

0.0096

0.01

0.9941

−2.52

0.0167

0.02

0.9983

−2.93

0.0055

0.01

0.9967

−2.72

0.0099

0.01

0.9940

−2.51

0.0171

0.02

0.9982

−2.92

0.0056

0.01

0.9966

−2.71

0.0101

0.01

0.9938

−2.50

0.0175

0.02

0.9982

−2.91

0.0058

0.01

0.9965

−2.70

0.0104

0.01

0.9936

−2.49

0.0180

0.02

0.9981

−2.90

0.0060

0.01

0.9964

−2.69

0.0107

0.01

0.9934

−2.48

0.0184

0.02

0.9981

−2.89

0.0061

0.01

0.9963

−2.68

0.0110

0.01

0.9932

−2.47

0.0189

0.02

0.9980

−2.88

0.0063

0.01

0.9962

−2.67

0.0113

0.01

0.9931

−2.46

0.0194

0.02

0.9979

−2.87

0.0065

0.01

0.9961

−2.66

0.0116

0.01

0.9929

−2.45

0.0198

0.02

0.9979

−2.86

0.0067

0.01

0.9960

−2.65

0.0119

0.01

0.9927

−2.44

0.0203

0.02

0.9978

−2.85

0.0069

0.01

0.9959

−2.64

0.0122

0.01

0.9925

−2.43

0.0208

0.02

0.9977

−2.84

0.0071

0.01

0.9957

−2.63

0.0126

0.01

0.9922

−2.42

0.0213

0.02

0.9977

−2.83

0.0073

0.01

0.9956

−2.62

0.0129

0.01

0.9920

−2.41

0.0219

0.02

0.9976

−2.82

0.0075

0.01

0.9955

−2.61

0.0132

0.01

0.9918

−2.40

0.0224

0.02

0.9975

−2.81

0.0077

0.01

0.9953

−2.60

0.0136

0.01

0.9916

−2.39

0.0229

0.02

0.9974

−2.80

0.0079

0.01

0.9952

−2.59

0.0139

0.01

0.9913

−2.38

0.0235

0.02

0.9911

−2.37

0.0241

0.02

0.9834

−2.13

0.0413

0.04

0.9706

−1.89

0.0669

0.07

0.9909

−2.36

0.0246

0.02

0.9830

−2.12

0.0422

0.04

0.9699

−1.88

0.0681

0.07

0.9906

−2.35

0.0252

0.03

0.9826

−2.11

0.0431

0.04

0.9693

−1.87

0.0694

0.07

0.9904

−2.34

0.0258

0.03

0.9821

−2.10

0.0440

0.04

0.9686

−1.86

0.0707

0.07

0.9901

−2.33

0.0264

0.03

0.9817

−2.09

0.0449

0.05

0.9678

−1.85

0.0721

0.07

0.9898

−2.32

0.0270

0.03

0.9812

−2.08

0.0459

0.05

0.9671

−1.84

0.0734

0.08

0.9896

−2.31

0.0277

0.03

0.9808

−2.07

0.0468

0.05

0.9664

−1.83

0.0748

0.08

0.9893

−2.30

0.0283

0.03

0.9803

−2.06

0.0478

0.05

0.9656

−1.82

0.0761

0.08

0.9890

−2.29

0.0290

0.03

0.9798

−2.05

0.0488

0.05

0.9649

−1.81

0.0775

0.08

0.9887

−2.28

0.0297

0.03

0.9793

−2.04

0.0498

0.05

0.9641

−1.80

0.0790

0.08

0.9884

−2.27

0.0303

0.03

0.9788

−2.03

0.0508

0.05

0.9633

−1.79

0.0804

0.08

0.9881

−2.26

0.0310

0.03

0.9783

−2.02

0.0519

0.05

0.9625

−1.78

0.0818

0.08

0.9878

−2.25

0.0317

0.03

0.9778

−2.01

0.0529

0.05

0.9616

−1.77

0.0833

0.09

0.9875

−2.24

0.0325

0.03

0.9772

−2.00

0.0540

0.06

0.9608

−1.76

0.0848

0.09

0.9871

−2.23

0.0332

0.03

0.9767

−1.99

0.0551

0.06

0.9599

−1.75

0.0863

0.09

0.9868

−2.22

0.0339

0.03

0.9761

−1.98

0.0562

0.06

0.9591

−1.74

0.0878

0.09

0.9864

−2.21

0.0347

0.04

0.9756

−1.97

0.0573

0.06

0.9582

−1.73

0.0893

0.09

0.9861

−2.20

0.0355

0.04

0.9750

−1.96

0.0584

0.06

0.9573

−1.72

0.0909

0.09

0.9857

−2.19

0.0363

0.04

0.9744

−1.95

0.0596

0.06

0.9564

−1.71

0.0925

0.10

0.9854

−2.18

0.0371

0.04

0.9738

−1.94

0.0608

0.06

0.9554

−1.70

0.0940

0.10

0.9850

−2.17

0.0379

0.04

0.9732

−1.93

0.0620

0.06

0.9545

−1.69

0.0957

0.10

0.9846

−2.16

0.0387

0.04

0.9726

−1.92

0.0632

0.06

0.9535

−1.68

0.0973

0.10

0.9842

−2.15

0.0396

0.04

0.9719

−1.91

0.0644

0.07

0.9525

−1.67

0.0989

0.10

0.9838

−2.14

0.0404

0.04

0.9713

−1.90

0.0656

0.07

0.9515

−1.66

0.1006

0.11

0.9505

−1.65

0.1023

0.11

0.9192

−1.40

0.1497

0.16

0.8749

−1.15

0.2059

0.24

0.9495

−1.64

0.1040

0.11

0.9177

−1.39

0.1518

0.17

0.8729

−1.14

0.2083

0.24

0.9484

−1.63

0.1057

0.11

0.9162

−1.38

0.1539

0.17

0.8708

−1.13

0.2107

0.24

0.9474

−1.62

0.1074

0.11

0.9147

−1.37

0.1561

0.17

0.8686

−1.12

0.2131

0.25

0.9463

−1.61

0.1092

0.12

0.9131

−1.36

0.1582

0.17

0.8665

−1.11

0.2155

0.25

0.9452

−1.60

0.1109

0.12

0.9115

−1.35

0.1604

0.18

0.8643

−1.10

0.2179

0.25

0.9441

−1.59

0.1127

0.12

0.9099

−1.34

0.1626

0.18

0.8621

−1.09

0.2203

0.26

0.9429

−1.58

0.1145

0.12

0.9082

−1.33

0.1647

0.18

0.8599

−1.08

0.2227

0.26

0.9418

−1.57

0.1163

0.12

0.9066

−1.32

0.1669

0.18

0.8577

−1.07

0.2251

0.26

0.9406

−1.56

0.1182

0.13

0.9049

−1.31

0.1691

0.19

0.8554

−1.06

0.2275

0.27

0.9394

−1.55

0.1200

0.13

0.9032

−1.30

0.1714

6.19

0.8531

−1.05

0.2299

0.27

0.9382

−1.54

0.1219

0.13

0.9015

−1.29

0.1736

0.19

0.8508

−1.04

0.2323

0.27

0.9370

−1.53

0.1238

0.13

0.8997

−1.28

0.1758

0.20

0.8485

−1.03

0.2347

0.28

0.9357

−1.52

0.1257

0.13

0.8980

−1.27

0.1781

0.20

0.8461

−1.02

0.2371

0.28

0.9345

−1.51

0.1276

0.14

0.8962

−1.26

0.1804

0.20

0.8438

−1.01

0.2396

0.28

0.9332

−1.50

0.1295

0.14

0.8944

−1.25

0.1826

0.20

0.8413

−1.00

0.2420

0.29

0.9319

−1.49

0.1315

0.14

0.8925

−1.24

0.1849

0.21

0.8389

−0.99

0.2444

0.29

0.9306

−1.48

0.1334

0.14

0.8907

−1.23

0.1872

0.21

0.8365

−0.98

0.2468

0.30

0.9292

−1.47

0.1354

0.15

0.8888

−1.22

0.1895

0.21

0.8340

−0.97

0.2492

0.30

0.9279

−1.46

0.1374

0.15

0.8869

−1.21

0.1919

0.22

0.8315

−0.96

0.2516

0.30

0.9265

−1.45

0.1394

0.15

0.8849

−1.20

0.1942

0.22

0.8289

−0.95

0.2541

0.31

0.9251

−1.44

0.1415

0.15

0.8830

−1.19

0.1965

0.22

0.8264

−0.94

0.2565

0.31

0.9236

−1.43

0.1435

0.16

0.8810

−1.18

0.1989

0.23

0.8238

−0.93

0.2589

0.31

0.9222

−1.42

0.1456

0.16

0.8790

−1.17

0.2012

0.23

0.8212

−0.92

0.2613

0.32

0.9207

−1.41

0.1476

0.16

0.8770

−1.16

0.2036

0.23

0.8186

−0.91

0.2637

0.32

0.8159

−0.90

0.2661

0.33

0.7454

−0.66

0.3209

0.43

0.6628

−0.42

0.3653

0.55

0.8133

−0.89

0.2685

0.33

0.7422

−0.65

0.3230

0.44

0.6591

−0.41

0.3668

0.56

0.8106

−0.88

0.2709

0.33

0.7389

−0.64

0.3251

0.44

0.6554

−0.40

0.3683

0.56

0.8078

−0.87

0.2732

0.34

0.7357

−0.63

0.3271

0.44

0.6517

−0.39

0.3697

0.57

0.8051

−0.86

0.2756

0.34

0.7324

−0.62

0.3292

0.45

0.6480

−0.38

0.3712

0.57

0.8023

−0.85

0.2780

0.35

0.7291

−0.61

0.3312

0.45

0.6443

−0.37

0.3725

0.58

0.7995

−0.84

0.2803

0.35

0.7257

−0.60

0.3332

0.46

0.6406

−0.36

0.3739

0.58

0.7967

−0.83

0.2827

0.35

0.7224

−0.59

0.3352

0.46

0.6368

−0.35

0.3752

0.59

0.7939

−0.82

0.2850

0.36

0.7190

−0.58

0.3372

0.47

0.6331

−0.34

0.3765

0.59

0.7910

−0.81

0.2874

0.36

0.7157

−0.57

0.3391

0.47

0.6293

−0.33

0.3778

0.60

0.7881

−0.80

0.2897

0.37

0.7123

−0.56

0.3410

0.48

0.6255

−0.32

0.3790

0.61

0.7852

−0.79

0.2920

0.37

0.7088

−0.55

0.3429

0.48

0.6217

−0.31

0.3802

0.61

0.7823

−0.78

0.2943

0.38

0.7054

−0.54

0.3448

0.49

0.6179

−0.30

0.3814

0.62

0.7794

−0.77

0.2966

0.38

0.7019

−0.53

0.3467

0.49

0.6141

−0.29

0.3825

0.62

0.7764

−0.76

0.2989

0.38

0.6985

−0.52

0.3485

0.50

0.6103

−0.28

0.3836

0.63

0.7734

−0.75

0.3011

0.39

0.6950

−0.51

0.3503

0.50

0.6064

−0.27

0.3847

0.64

0.7704

−0.74

0.3034

0.39

0.6915

−0.50

0.3521

0.51

0.6026

−0.26

0.3857

0.64

0.7673

−0.73

0.3056

0.40

0.6879

−0.49

0.3538

0.51

0.5987

−0.25

0.3867

0.65

0.7642

−0.72

0.3079

0.40

0.6844

−0.48

0.3555

0.52

0.5948

−0.24

0.3876

0.65

0.7611

−0.71

0.3101

0.41

0.6808

−0.47

0.3572

0.52

0.5910

−0.23

0.3885

0.66

0.7580

−0.70

0.3123

0.41

0.6772

−0.46

0.3589

0.53

0.5871

−0.22

0.3894

0.66

0.7549

−0.69

0.3144

0.42

0.6736

−0.45

0.3605

0.54

0.5832

−0.21

0.3902

0.67

0.7517

−0.68

0.3166

0.42

0.6700

−0.44

0.3621

0.54

0.5793

−0.20

0.3910

0.67

0.7486

−0.67

0.3187

0.43

0.6664

−0.43

0.3637

0.55

0.5753

−0.19

0.3918

0.68

0.5714

−0.18

0.3925

0.69

0.4721

0.07

0.3980

0.84

0.3745

0.32

0.3790

1.01

0.5675

−0.17

0.3932

0.69

0.4681

0.08

0.3977

0.85

0.3707

0.33

0.3778

1.02

0.5636

−0.16

0.3939

0.70

0.4641

0.09

0.3973

0.86

0.3669

0.34

0.3765

1.03

0.5596

−0.15

0.3945

0.70

0.4602

0.10

0.3970

0.86

0.3632

0.35

0.3752

1.03

0.5557

−0.14

0.3951

0.71

0.4562

0.11

0.3965

0.87

0.3594

0.36

0.3739

1.04

0.5517

−0.13

0.3956

0.72

0.4522

0.12

0.3961

0.88

0.3557

0.37

0.3725

1.05

0.5478

−0.12

0.3961

0.72

0.4483

0.13

0.3956

0.88

0.3520

0.38

0.3712

1.05

0.5438

−0.11

0.3965

0.73

0.4443

0.14

0.3951

0.89

0.3483

0.39

0.3697

1.06

0.5398

−0.10

0.3970

0.74

0.4404

0.15

0.3945

0.90

0.3446

0.40

0.3683

1.07

0.5359

−0.09

0.3973

0.74

0.4364

0.16

0.3939

0.90

0.3409

0.41

0.3668

1.08

0.5319

−0.08

0.3977

0.75

0.4325

0.17

0.3932

0.91

0.3372

0.42

0.3653

1.08

0.5279

−0.07

0.3980

0.75

0.4286

0.15

0.3925

0.92

0.3336

0.43

0.3637

1.09

0.5239

−0.06

0.3982

0.76

0.4247

0.19

0.3918

0.92

0.3300

0.44

0.3621

1.10

0.5199

−0.05

0.3984

0.77

0.4207

0.20

0.3910

0.93

0.3264

0.45

0.3605

1.10

0.5160

−0.04

0.3986

0.77

0.4168

0.21

0.3902

0.94

0.3228

0.46

0.3589

1.11

0.5120

−0.03

0.3988

0.78

0.4129

0.22

0.3894

0.94

0.3192

0.47

0.3572

1.12

0.5080

−0.02

0.3989

0.79

0.4090

0.23

0.3885

0.95

0.3156

0.48

0.3555

1.13

0.5040

−0.01

0.3989

0.79

0.4052

0.24

0.3876

0.96

0.3121

0.49

0.3538

1.13

0.5000

0.00

0.3989

0.80

0.4013

0.25

0.3867

0.96

0.3085

0.50

0.3521

1.14

0.4960

0.01

0.3989

0.80

0.3974

0.26

0.3857

0.97

0.3050

0.51

0.3503

1.15

0.4920

0.02

0.3989

0.81

0.3936

0.27

0.3847

0.98

0.3015

0.52

0.3485

1.16

0.4880

0.03

0.3988

0.82

0.3897

0.28

0.3836

0.98

0.2981

0.53

0.3467

1.16

0.4840

0.04

0.3986

0.82

0.3859

0.29

0.3825

0.99

0.2946

0.54

0.3448

1.17

0.4801

0.05

0.3984

0.83

0.3821

0.30

0.3814

1.00

0.2912

0.55

0.3429

1.18

0.4761

0.06

0.3982

0.84

0.3783

0.31

0.3802

1.01

0.2877

0.56

0.3410

1.19

0.2843

0.57

0.3391

1.19

0.2090

0.81

0.2874

1.38

0.1469

1.05

0.2299

1.57

0.2810

0.58

0.3372

1.20

0.2061

0.82

0.2850

1.38

0.1446

1.06

0.2275

1.57

0.2776

0.59

0.3352

1.21

0.2033

0.83

0.2827

1.39

0.1423

1.07

0.2251

1.58

0.2743

0.60

0.3332

1.21

0.2005

0.84

0.2803

1.40

0.1401

1.08

0.2227

1.59

0.2709

0.61

0.3212

1.22

0.1977

0.85

0.2780

1.41

0.1379

1.09

0.2203

1.60

0.2676

0.62

0.3292

1.23

0.1949

0.86

0.2756

1.41

0.1357

1.10

0.2179

1.61

0.2643

0.63

0.3271

1.24

0.1922

0.87

0.2732

1.42

0.1335

1.11

0.2155

1.61

0.2611

0.64

0.3251

1.25

0.1894

0.88

0.2709

1.43

0.1314

1.12

0.2131

1.62

0.2578

0.65

0.3230

1.25

0.1867

0.89

0.2685

1.44

0.1292

1.13

0.2107

1.63

0.2546

0.66

0.3209

1.26

0.1841

0.90

0.2661

1.45

0.1271

1.14

0.2083

1.64

0.2514

0.67

0.3187

1.27

0.1814

0.91

0.2637

1.45

0.1251

1.15

0.2059

1.65

0.2483

0.68

0.3166

1.28

0.1788

0.92

0.2613

1.46

0.1230

1.16

0.2036

1.66

0.2451

0.69

0.3144

1.28

0.1762

0.93

0.2589

1.47

0.1210

1.17

0.2012

1.66

0.2420

0.70

0.3123

1.29

0.1736

0.94

0.2565

1.48

0.1190

1.18

0.1989

1.67

0.2389

0.71

0.3101

1.30

0.1711

0.95

0.2541

1.49

0.1170

1.19

0.1965

1.68

0.2358

0.72

0.3079

1.31

0.1685

0.96

0.2516

1.49

0.1151

1.20

0.1942

1.69

0.2327

0.73

0.3056

1.31

0.1660

0.97

0.2492

1.50

0.1131

1.21

0.1919

1.70

0.2296

0.74

0.3034

1.32

0.1635

0.98

0.2468

1.51

0.1112

1.22

0.1895

1.70

0.2266

0.75

0.3011

1.33

0.1611

0.99

0.2444

1.52

0.1093

1.23

0.1872

1.71

0.2236

0.76

0.2989

1.34

0.1587

1.00

0.2420

1.52

0.1075

1.24

0.1849

1.72

0.2206

0.77

0.2966

1.34

0.1562

1.01

0.2396

1.53

0.1056

1.25

0.1826

1.73

0.2177

0.78

0.2943

1.35

0.1539

1.02

0.2371

1.54

0.1038

1.26

0.1804

1.74

0.2148

0.79

0.2920

1.36

0.1515

1.03

0.2347

1.55

0.1020

1.27

0.1781

1.75

0.2119

0.80

0.2897

1.37

0.1492

1.04

0.2323

1.56

0.1003

1.28

0.1758

1.75

0.0985

1.29

0.1736

1.76

0.0618

1.54

0.1219

1.97

0.0367

1.79

0.0804

2.19

0.0968

1.30

0.1714

1.77

0.0606

1.55

0.1200

1.98

0.0359

1.80

0.0790

2.20

0.0951

1.31

0.1691

1.78

0.0594

1.56

0.1182

1.99

0.0351

1.81

0.0775

2.21

0.0934

1.32

0.1669

1.79

0.0582

1.57

0.1163

2.00

0.0344

1.82

0.0761

2.21

0.0918

1.33

0.1647

1.79

0.0571

1.58

0.1145

2.01

0.0336

1.83

0.0748

2.23

0.0901

1.34

0.1626

1.80

0.0559

1.59

0.1127

2.02

0.0329

1.84

0.0734

2.23

0.0885

1.35

0.1604

1.81

0.0548

1.60

0.1109

2.02

0.0322

1.85

0.0721

2.24

0.0869

1.36

0.1582

1.82

0.0537

1.61

0.1092

2.03

0.0314

1.86

0.0707

2.25

0.0853

1.37

0.1561

1.83

0.0526

1.62

0.1074

2.04

0.0307

1.87

0.0694

2.26

0.0838

1.38

0.1539

1.84

0.0516

1.63

0.1057

2.05

0.0301

1.88

0.0681

2.26

0.0823

1.39

0.1518

1.84

0.0505

1.64

0.1040

2.06

0.0294

1.89

0.0669

2.28

0.0808

1.40

0.1497

1.85

0.0495

1.65

0.1023

2.07

0.0287

1.90

0.0656

2.29

0.0793

1.41

0.1476

1.86

0.0485

1.66

0.1006

2.07

0.0281

1.91

0.0644

2.29

0.0778

1.42

0.1456

1.87

0.0475

1.67

0.0989

2.08

0.0274

1.92

0.0632

2.31

0.0764

1.43

0.1435

1.88

0.0465

1.68

0.0973

2.09

0.0268

1.93

0.0620

2.31

0.0749

1.44

0.1415

1.89

0.0455

1.69

0.0957

2.10

0.0262

1.94

0.0608

2.32

0.0735

1.45

0.1394

1.90

0.0446

1.70

0.0940

2.11

0.0256

1.95

0.0596

2.33

0.0721

1.46

0.1374

1.91

0.0436

1.71

0.0925

2.12

0.0250

1.96

0.0584

2.34

0.0708

1.47

0.1354

1.91

0.0427

1.72

0.0909

2.13

0.0244

1.97

0.0573

2.35

0.0694

1.48

0.1334

1.92

0.0418

1.73

0.0893

2.14

0.0239

1.98

0.0562

2.35

0.0681

1.49

0.1315

1.93

0.0409

1.74

0.0878

2.15

0.0233

1.99

0.0551

2.36

0.0668

1.50

0.1295

1.94

0.0401

1.75

0.0863

2.15

0.0228

2.00

0.0540

2.37

0.0655

1.51

0.1276

1.95

0.0392

1.76

0.0848

2.16

0.0222

2.01

0.0529

2.38

0.0643

1.52

0.1257

1.95

0.0384

1.77

0.0833

2.17

0.0217

2.02

0.0519

2.39

0.0630

1.53

0.1238

1.97

0.0375

1.78

0.0818

2.18

0.0212

2.03

0.0508

2.40

0.0207

2.04

0.0498

2.41

0.0113

2.28

0.0297

2.63

0.0059

2.52

0.0167

2.84

0.0202

2.05

0.0488

2.42

0.0110

2.29

0.0290

2.64

0.0057

2.53

0.0163

2.85

0.0197

2.06

0.0478

2.43

0.0107

2.30

0.0283

2.64

0.0055

2.54

0.0158

2.86

0.0192

2.07

0.0468

2.44

0.0104

2.31

0.0277

2.65

0.0054

2.55

0.0154

2.87

0.0188

2.08

0.0459

2.44

0.0102

2.32

0.0270

2.66

0.0052

2.56

0.0151

2.88

0.0183

2.09

0.0449

2.45

0.0099

2.33

0.0264

2.67

0.0051

2.57

0.0147

2.89

0.0179

2.10

0.0440

2.46

0.0096

2.34

0.0258

2.68

0.0049

2.58

0.0143

2.90

0.0174

2.11

0.0431

2.48

0.0094

2.35

0.0252

2.68

0.0048

2.59

0.0139

2.90

0.0170

2.12

0.0422

2.48

0.0091

2.36

0.0246

2.69

0.0047

2.60

0.0136

2.91

0.0166

2.13

0.0413

2.49

0.0089

2.37

0.0241

2.71

0.0045

2.61

0.0132

2.92

0.0162

2.14

0.0404

2.49

0.0087

2.38

0.0235

2.71

0.0044

2.62

0.0129

2.93

0.0158

2.15

0.0396

2.51

0.0084

2.39

0.0229

2.72

0.0043

2.63

0.0126

2.94

0.0154

2.16

0.0387

2.51

0.0082

2.40

0.0224

2.73

0.0041

2.64

0.0122

2.95

0.0150

2.17

0.0379

2.53

0.0080

2.41

0.0219

2.74

0.0040

2.65

0.0119

2.96

0.0146

2.18

0.0371

2.54

0.0078

2.42

0.0213

2.74

0.0039

2.66

0.0116

2.97

0.0143

2.19

0.0363

2.54

0.0075

2.43

0.0208

2.76

0.0038

2.67

0.0113

2.98

0.0139

2.20

0.0355

2.55

0.0073

2.44

0.0203

2.76

0.003’1

2.68

0.0110

2.99

0.0136

2.21

0.0347

2.55

0.0071

2.45

0.0198

2.77

0.0036

2.69

0.0107

3.00

0.0132

2.22

0.0339

2.57

0.0069

2.46

0.0194

2.79

0.0035

2.70

0.0104

3.01

0.0129

2.23

0.0332

2.57

0.0068

2.47

0.0189

2.80

0.0034

2.71

0.0101

3.01

0.0125

2.24

0.0325

2.60

0.0066

2.48

0.0184

2.80

0.0033

2.72

0.0099

3.02

0.0122

2.25

0.0317

2.60

0.0064

2.49

0.0180

2.82

0.0032

2.73

0.0096

3.03

0.0119

2.26

0.0310

2.61

0.0062

2.50

0.0175

2.82

0.0031

2.74

0.0093

3.04

0.0116

2.27

0.0303

2.61

0.0060

2.51

0.0171

2.83

0.0030

2.75

0.0091

3.05

0.0029

2.76

0.0088

3.06

0.0022

2.85

0.0069

3.14

0.0016

2.94

0.0053

3.23

0.0028

2.77

0.0086

3.07

0.0021

2.86

0.0067

3.15

0.0016

2.95

0.0051

3.24

0.0027

2.78

0.0084

3.08

0.0021

2.87

0.0065

3.16

0.0015

2.96

0.0050

3.25

0.0026

2.79

0.0081

3.09

0.0020

2.88

0.0063

3.17

0.0015

2.97

0.0048

3.26

0.0026

2.80

0.0079

3.10

0.0019

2.89

0.0061

3.18

0.0014

2.98

0.0047

3.26

0.0025

2.81

0.0077

3.11

0.0019

2.90

0.0060

3.19

0.0014

2.99

0.0046

3.27

0.0024

2.82

0.0075

3.12

0.0018

2.91

0.0058

3.20

0.0013

3.00

0.0044

3.28

0.0023

2.83

0.0073

3.13

0.0018

2.92

0.0056

3.21

    

0.0023

2.84

0.0071

3.13

0.0017

2.93

0.0055

3.22

    

1φi = Proportion above cutoff (selection ratio)

Zxi = Predictor cutoff value in standard-score form

λi = Normal curve ordinate at Zxi

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