JUMBO - Java-unterstützte Münsteraner Biometrie Oberfläche

Tabellenanhang

Aus Referenzgründen enthält dieser Anhang die in Kapitel 7 und 8 durch Javascript-Prozeduren berechneten statistischen Kenngrößen noch einmal in traditioneller gedruckter Tabellenform.

Tabelle 1: Verteilungsfunktion und Quantile der Standardnormalverteilung

z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359
0.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753
0.2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 .6064 .6103 .6141
0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517
0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879
0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224
0.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549
0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852
0.8 .7881 .7910 .7939 .7967 .7995 .8023 .8051 .8078 .8106 .8133
0.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389
1.0 .8413 .8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621
1.1 .8643 .8665 .8686 .8708 .8729 .8749 .8770 .8790 .8810 .8830
1.2 .8849 .8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015
1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177
1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319
1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441
1.6 .9452 .9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545
1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633
1.8 .9641 .9649 .9656 .9664 .9671 .9678 .9686 .9693 .9699 .9706
1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767
2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817
2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9857
2.2 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890
2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916
2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936
2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952
2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964
2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 .9973 .9974
2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 .9981
2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986
3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990
p = 0.5000 0.7500 0.8000 0.9000 0.9500 0.9750 0.9900 0.9950 0.9975 0.9990
zp = 0.0000 0.6745 0.8416 1.2816 1.6449 1.9600 2.3263 2.5758 2.8070 3.0902

Tabelle 2: Quantile tf;1-a der tf-Verteilung mit f Freiheitsgraden

f\1-

.900

.950

.975

.990

.995

.999

1

3.078

6.314

12.706

31.821

63.657

318.309

2

1.886

2.920

4.303

6.965

9.925

22.327

3

1.638

2.353

3.182

4.541

5.841

10.215

4

1.533

2.132

2.776

3.747

4.604

7.173

5

1.476

2.015

2.571

3.365

4.032

5.893

6

1.440

1.943

2.447

3.143

3.707

5.208

7

1.415

1.895

2.365

2.998

3.499

4.785

8

1.397

1.860

2.306

2.896

3.355

4.501

9

1.383

1.833

2.262

2.821

3.250

4.297

10

1.372

1.812

2.228

2.764

3.169

4.144

11

1.363

1.796

2.201

2.718

3.106

4.025

12

1.356

1.782

2.179

2.681

3.055

3.930

13

1.350

1.771

2.160

2.650

3.012

3.852

14

1.345

1.761

2.145

2.624

2.977

3.787

15

1.341

1.753

2.131

2.602

2.947

3.733

16

1.337

1.746

2.120

2.583

2.921

3.686

17

1.333

1.740

2.110

2.567

2.898

3.646

18

1.330

1.734

2.101

2.552

2.878

3.611

19

1.328

1.729

2.093

2.539

2.861

3.579

20

1.325

1.725

2.086

2.528

2.845

3.552

21

1.323

1.721

2.080

2.518

2.831

3.527

22

1.321

1.717

2.074

2.508

2.819

3.505

23

1.319

1.714

2.069

2.500

2.807

3.485

24

1.318

1.711

2.064

2.492

2.797

3.467

25

1.316

1.708

2.060

2.485

2.787

3.450

26

1.315

1.706

2.056

2.479

2.779

3.435

27

1.314

1.703

2.052

2.473

2.771

3.421

28

1.313

1.701

2.048

2.467

2.763

3.408

29

1.311

1.699

2.045

2.462

2.756

3.396

30

1.310

1.697

2.042

2.457

2.750

3.385

40

1.303

1.684

2.021

2.423

2.704

3.307

50

1.299

1.676

2.009

2.403

2.678

3.261

60

1.296

1.671

2.000

2.390

2.660

3.232

70

1.294

1.667

1.994

2.381

2.648

3.211

80

1.292

1.664

1.990

2.374

2.639

3.195

90

1.291

1.662

1.987

2.368

2.632

3.183

100

1.290

1.660

1.984

2.364

2.626

3.174

200

1.286

1.653

1.972

2.345

2.601

3.131

300

1.284

1.650

1.968

2.339

2.592

3.118

400

1.284

1.649

1.966

2.336

2.588

3.111

500

1.283

1.648

1.965

2.334

2.586

3.107

1.282

1.645

1.960

2.326

2.576

3.090

Tabelle 3: 0.975-Quantile für den Mann-Whitney-Wilcoxon-Test

n1\n2 4 5 6 7 8 9 10 11 12 13 14 15
4 25                      
5 28 37                    
6 31 41 51                  
7 34 44 56 68                
8 37 48 60 73 86              
9 41 52 64 78 92 108            
10 44 56 69 83 98 114 131          
11 47 60 73 88 104 120 138 156        
12 50 63 78 93 109 126 145 164 184      
13 53 67 82 98 115 133 151 171 192 214    
14 56 71 87 103 121 139 158 179 200 222 245  
15 59 75 91 108 126 145 165 186 208 231 255 280

Die 0.025-Quantile erhält man aus der Formel

.

Tabelle 4: Quantile 2f;1-a der 2f-Verteilung mit f Freiheitsgraden

f\1-

.900

.950

9.75

990

.995

.999

1

2.71

3.84

5.02

6.63

7.88

10.83

2

4.61

5.99

7.38

9.21

10.60

13.82

3

6.25

7.81

9.35

11.34

12.84

16.27

4

7.78

9.49

11.14

13.28

14.86

18.47

5

9.24

11.07

12.83

15.09

16.75

20.52

6

10.64

12.59

14.45

16.81

18.55

22.46

7

12.02

14.07

16.01

18.48

20.28

24.32

8

13.36

15.51

17.53

20.09

21.95

26.12

9

14.68

16.92

19.02

21.67

23.59

27.88

10

15.99

18.31

20.48

23.21

25.19

29.59

11

17.28

19.68

21.92

24.72

26.76

31.26

12

18.55

21.03

23.34

26.22

28.30

32.91

13

19.81

22.36

24.74

27.69

29.82

34.53

14

21.06

23.68

26.12

29.14

31.32

36.12

15

22.31

35.00

27.49

30.58

32.80

37.70

16

23.54

26.30

28.85

32.00

34.27

39.25

17

24.77

27.59

30.19

33.41

35.72

40.79

18

25.99

28.87

31.53

34.81

37.16

42.31

19

27.20

30.14

32.85

36.19

38.58

43.82

20

28.41

31.41

34.17

37.57

40.00

45.31

21

29.62

32.67

35.48

38.93

41.40

46.80

22

30.81

33.92

36.78

40.29

42.80

48.27

23

32.01

35.17

38.08

41.64

44.18

49.73

24

33.20

36.42

39.36

42.98

45.56

51.18

25

34.38

37.65

40.65

44.31

46.93

52.62

26

35.56

38.89

41.92

45.64

48.29

54.05

27

36.74

40.11

43.19

46.96

49.64

55.48

28

37.92

41.34

44.46

48.28

50.99

56.89

29

39.09

42.56

45.72

49.59

52.34

58.30

30

40.26

43.77

46.98

50.89

53.67

59.70

40

51.81

55.76

59.34

63.69

66.77

73.40

50

63.17

67.50

71.42

76.15

79.49

86.66

60

74.40

79.08

83.30

88.38

91.95

99.61

70

85.53

90.53

95.02

100.43

104.21

112.32

80

96.58

101.88

106.63

112.33

116.32

124.84

90

107.57

113.15

118.14

124.12

128.30

137.21

100

118.50

124.34

129.56

135.81

140.17

149.45

200

226.02

233.99

241.06

249.45

255.26

267.54

300

331.79

341.40

349.87

359.91

366.84

381.43

400

436.65

447.63

457.31

468.72

476.61

493.13

500

540.93

553.13

563.85

576.49

585.21

603.45