untitled

386 APPENDICES

Appendix 1

Cumulative

F

distribution. The body of the table contains critical values of

F

for both “one-sided” and “two-sided” significance probabilities.

d.f. in numerator

One-

1234567891

012152030

60

∞

Two-

d.f. in

sided

sided

denominator

tests

tests

1

0.10

39.9

49.5

53.6

55.8

57.2

58.2

58.9

59.4

59.9

60.2

60.7

61.2

61.7

62.3

62.8

63.3

0.20

0.05

161

200

216

225

230

234

237

239

241

242

244

246

248

250

252

254

0.10

0.01

4050

5000

5400

5620

5760

5860

5930

5980

6020

6060

6110

6160

6210

6260

6310

6370

0.02

2

0.10

8.53

9.00

9.16

9.24

9.29

9.33

9.35

9.37

9.38

9.39

9.41

9.42

9.44

9.46

9.47

9.49

0.20

0.05

18.5

19.0

19.2

19.2

19.3

19.3

19.4

19.4

19.4

19.4

19.4

19.4

19.5

19.5

19.5

19.5

0.10

0.01

98.5

99.0

99.2

99.2

99.3

99.3

99.4

99.4

99.4

99.4

99.4

99.4

99.4

99.5

99.5

99.5

0.02

3

0.10

5.54

5.46

5.39

5.34

5.31

5.28

5.27

5.25

5.24

5.23

5.22

5.20

5.18

5.17

5.15

5.13

0.20

0.05

10.1

9.55

9.28

9.12

9.01

8.94

8.89

8.85

8.81

8.79

8.74

8.70

8.66

8.62

8.57

8.53

0.10

0.01

34.1

30.8

29.5

28.7

28.2

27.9

27.7

27.5

27.3

27.2

27.1

26.9

26.7

26.5

26.3

26.1

0.02

4

0.10

4.54

4.32

4.19

4.11

4.05

4.01

3.98

3.95

3.94

3.92

3.90

3.87

3.84

3.82

3.79

3.76

0.20

0.05

7.71

6.94

6.59

6.39

6.26

6.16

6.09

6.04

6.00

5.96

5.91

5.86

5.80

5.75

5.69

5.63

0.10

0.01

21.2

18.0

16.7

16.0

15.5

15.2

15.0

14.8

14.7

14.5

14.4

14.2

14.0

13.8

13.7

13.5

0.02

5

0.10

4.06

3.78

3.62

3.52

3.45

3.40

3.37

3.34

3.32

3.30

3.27

3.24

3.21

3.17

3.14

3.10

0.20

0.05

6.61

5.79

5.41

5.19

5.05

4.95

4.88

4.82

4.77

4.74

4.68

4.62

4.56

4.50

4.43

4.37

0.10

0.01

16.3

13.3

12.1

11.4

11.0

10.7

10.5

10.3

10.2

10.1

9.89

9.72

9.55

9.38

9.20

9.02

0.02

6

0.10

3.78

3.46

3.29

3.18

3.11

3.05

3.01

2.98

2.96

2.94

2.90

2.87

2.84

2.80

2.76

2.72

0.20

0.05

5.99

5.14

4.76

4.53

4.39

4.28

4.21

4.15

4.10

4.06

4.00

3.94

3.87

3.81

3.74

3.67

0.10

0.01

13.7

10.9

9.78

9.15

8.75

8.47

8.26

8.10

7.98

7.87

7.72

7.56

7.40

7.23

7.06

6.88

0.02

7

0.10

3.59

3.26

3.07

2.96

2.88

2.83

2.78

2.75

2.72

2.70

2.67

2.63

2.59

2.56

2.51

2.47

0.20

0.05

5.59

4.74

4.35

4.12

3.97

3.87

3.79

3.73

3.68

3.64

3.57

3.51

3.44

3.38

3.30

3.23

0.10

0.01

12.2

9.55

8.45

7.85

7.46

7.19

6.99

6.84

6.72

6.62

6.47

6.31

6.16

5.99

5.82

5.65

0.02

8

0.10

3.46

3.11

2.92

2.81

2.73

2.67

2.62

2.59

2.56

2.54

2.50

2.46

2.42

2.38

2.34

2.29

0.20

0.05

5.32

4.46

4.07

3.84

3.69

3.58

3.50

3.44

3.39

3.35

3.28

3.22

3.15

3.08

3.01

2.93

0.10

0.01

11.3

8.65

7.59

7.01

6.63

6.37

6.18

6.03

5.91

5.81

5.67

5.52

5.36

5.20

5.03

4.86

0.02

WECD01 08/17/2005 04:54PM Page 386