432
Statistical Tables
sTATss
Table A-1 Standard normal (z-score) probabilities (upper tail)
___________________________________________
Z
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
____________________________________________________________________________
0.00
.500
.496
.492
.488
.484
.480
.476
.472
.468
.464
0.10
.460
.456
.452
.448
.444
.440
.436
.433
.429
.425
0.20
.421
.417
.413
.409
.405
.401
.397
.394
.390
.386
0.30
.382
.378
.375
.371
.367
.363
.359
.356
.352
.348
0.40
.345
.341
.337
.334
.330
.326
.323
.319
.316
.312
0.50
.309
.305
.302
.298
.295
.291
.288
.284
.281
.278
0.60
.274
.271
.268
.264
.261
.258
.255
.251
.248
.245
0.70
.242
.239
.236
.233
.230
.227
.224
.221
.218
.215
0.80
.212
.209
.206
.203
.201
.198
.195
.192
.189
.187
0.90
.184
.181
.179
.176
.174
.171
.169
.166
.164
.161
1.00
.159
.156
.154
.152
.149
.147
.145
.142
.140
.138
1.10
.136
.134
.131
.129
.127
.125
.123
.121
.119
.117
1.20
.115
.113
.111
.109
.108
.106
.104
.102
.100
.099
1.30
.097
.095
.093
.092
.090
.089
.087
.085
.084
.082
1.40
.081
.079
.078
.076
.075
.074
.072
.071
.069
.068
1.50
.067
.066
.064
.063
.062
.061
.059
.058
.057
.056
1.60
.055
.054
.053
.052
.051
.050
.049
.048
.047
.046
1.70
.045
.044
.043
.042
.041
.040
.039
.038
.038
.037
1.80
.036
.035
.034
.034
.033
.032
.031
.031
.030
.029
1.90
.029
.028
.027
.027
.026
.026
.025
.024
.024
.023
2.00
.023
.022
.022
.021
.021
.020
.020
.019
.019
.018
2.10
.018
.017
.017
.017
.016
.016
.015
.015
.015
.014
2.20
.014
.014
.013
.013
.013
.012
.012
.012
.011
.011
2.30
.011
.010
.010
.010
.010
.009
.009
.009
.009
.008
2.40
.008
.008
.008
.008
.007
.007
.007
.007
.007
.006
2.50
.006
.006
.006
.006
.006
.005
.005
.005
.005
.005
2.60
.005
.005
.004
.004
.004
.004
.004
.004
.004
.004
2.70
.004
.003
.003
.003
.003
.003
.003
.003
.003
.003
2.80
.003
.003
.002
.002
.002
.002
.002
.002
.002
.002
2.90
.002
.002
.002
.002
.002
.002
.002
.002
.001
.001
3.00
.001
.001
.001
.001
.001
.001
.001
.001
.001
.001
3.10
.001
.001
.001
.001
.001
.001
.001
.001
.001
.001
3.20
.001
.001
.001
.001
.001
.001
.001
.001
.001
.001
3.30
.001
.001
.001
.000
.000
.000
.000
.000
.000
.000
3.40
.000
.000
.000
.000
.000
.000
.000
.000
.000
.000
3.50
.000
.000
.000
.000
.000
.000
.000
.000
.000
.000
_________________________________________________________________
Note. As an example, when z = 1.96, the upper tail probability is p = .025.
Statistical Tables
Table A-2 Critical values of the Student's t-distribution
Degrees
of
freedom
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
50
60
70
80
90
100
∞
α (one-sided test)
.10
.05
.20
3.078
1.886
1.638
1.533
1.476
1.440
1.415
1.397
1.383
1.372
1.363
1.356
1.350
1.345
1.341
1.337
1.333
1.330
1.328
1.325
1.323
1.321
1.319
1.318
1.316
1.315
1.314
1.313
1.311
1.310
1.309
1.309
1.308
1.307
1.306
1.306
1.305
1.304
1.304
1.303
1.299
1.296
1.294
1.292
1.291
1.290
1.282
.10
6.314
2.920
2.353
2.132
2.015
1.943
1.895
1.860
1.833
1.812
1.796
1.782
1.771
1.761
1.753
1.746
1.740
1.734
1.729
1.725
1.721
1.717
1.714
1.711
1.708
1.706
1.703
1.701
1.699
1.697
1.696
1.694
1.692
1.691
1.690
1.688
1.687
1.686
1.685
1.684
1.676
1.671
1.667
1.664
1.662
1.660
1.645
.025
.01
.005
α (two-sided test)
.05
12.706
4.303
3.182
2.776
2.571
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
2.120
2.110
2.101
2.093
2.086
2.080
2.074
2.069
2.064
2.060
2.056
2.052
2.048
2.045
2.042
2.040
2.037
2.035
2.032
2.030
2.028
2.026
2.024
2.023
2.021
2.009
2.000
1.994
1.990
1.987
1.984
1.960
.02
31.821
6.965
4.541
3.747
3.365
3.143
2.998
2.896
2.821
2.764
2.718
2.681
2.650
2.624
2.602
2.583
2.567
2.552
2.539
2.528
2.518
2.508
2.500
2.492
2.485
2.479
2.473
2.467
2.462
2.457
2.453
2.449
2.445
2.441
2.438
2.434
2.431
2.429
2.426
2.423
2.403
2.390
2.381
2.374
2.368
2.364
2.326
.01
63.657
9.925
5.841
4.604
4.032
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
2.921
2.898
2.878
2.861
2.845
2.831
2.819
2.807
2.797
2.787
2.779
2.771
2.763
2.756
2.750
2.744
2.738
2.733
2.728
2.724
2.719
2.715
2.712
2.708
2.704
2.678
2.660
2.648
2.639
2.632
2.626
2.576
433
434
Statistical Tables
Table A-3 Critical values of the chi-square distribution (α = .05 and α = .01 upper tail)
Example:
For α = .05 and df = 30,
the chi-square critical value is
߯ ଶ = 43.77.
Statistical Tables
Table A-4 Critical values of the F- distribution (α = .05 upper tail)
α = .05
df2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
35
40
50
60
70
80
100
150
300
1000
Degrees of freedom for numerator (df1)
1
161.45
18.51
10.13
7.71
6.61
5.99
5.59
5.32
5.12
4.97
4.84
4.75
4.67
4.60
4.54
4.49
4.45
4.41
4.38
4.35
4.33
4.30
4.28
4.26
4.24
4.23
4.21
4.20
4.18
4.17
4.12
4.09
4.03
4.00
3.98
3.96
3.94
3.90
3.87
3.85
2
199.50
19.00
9.55
6.94
5.79
5.14
4.74
4.46
4.26
4.10
3.98
3.89
3.81
3.74
3.68
3.63
3.59
3.56
3.52
3.49
3.47
3.44
3.42
3.40
3.39
3.37
3.35
3.34
3.33
3.32
3.27
3.23
3.18
3.15
3.13
3.11
3.09
3.06
3.03
3.00
3
215.71
19.16
9.28
6.59
5.41
4.76
4.35
4.07
3.86
3.71
3.59
3.49
3.41
3.34
3.29
3.24
3.20
3.16
3.13
3.10
3.07
3.05
3.03
3.01
2.99
2.98
2.96
2.95
2.93
2.92
2.87
2.84
2.79
2.76
2.74
2.72
2.70
2.66
2.63
2.61
4
224.58
19.25
9.12
6.39
5.19
4.53
4.12
3.84
3.63
3.48
3.36
3.26
3.18
3.11
3.06
3.01
2.97
2.93
2.90
2.87
2.84
2.82
2.80
2.78
2.76
2.74
2.73
2.71
2.70
2.69
2.64
2.61
2.56
2.53
2.50
2.49
2.46
2.43
2.40
2.38
5
230.16
19.30
9.01
6.26
5.05
4.39
3.97
3.69
3.48
3.33
3.20
3.11
3.03
2.96
2.90
2.85
2.81
2.77
2.74
2.71
2.69
2.66
2.64
2.62
2.60
2.59
2.57
2.56
2.55
2.53
2.49
2.45
2.40
2.37
2.35
2.33
2.31
2.27
2.24
2.22
Note. df2 = degrees of freedom for denominator.
6
233.99
19.33
8.94
6.16
4.95
4.28
3.87
3.58
3.37
3.22
3.10
3.00
2.92
2.85
2.79
2.74
2.70
2.66
2.63
2.60
2.57
2.55
2.53
2.51
2.49
2.47
2.46
2.45
2.43
2.42
2.37
2.34
2.29
2.25
2.23
2.21
2.19
2.16
2.13
2.11
7
236.77
19.35
8.89
6.09
4.88
4.21
3.79
3.50
3.29
3.14
3.01
2.91
2.83
2.76
2.71
2.66
2.61
2.58
2.54
2.51
2.49
2.46
2.44
2.42
2.41
2.39
2.37
2.36
2.35
2.33
2.29
2.25
2.20
2.17
2.14
2.13
2.10
2.07
2.04
2.02
8
238.88
19.37
8.85
6.04
4.82
4.15
3.73
3.44
3.23
3.07
2.95
2.85
2.77
2.70
2.64
2.59
2.55
2.51
2.48
2.45
2.42
2.40
2.38
2.36
2.34
2.32
2.31
2.29
2.28
2.27
2.22
2.18
2.13
2.10
2.07
2.06
2.03
2.00
1.97
1.95
9
240.54
19.39
8.81
6.00
4.77
4.10
3.68
3.39
3.18
3.02
2.90
2.80
2.71
2.65
2.59
2.54
2.49
2.46
2.42
2.39
2.37
2.34
2.32
2.30
2.28
2.27
2.25
2.24
2.22
2.21
2.16
2.12
2.07
2.04
2.02
2.00
1.98
1.94
1.91
1.89
10
241.88
19.40
8.79
5.96
4.74
4.06
3.64
3.35
3.14
2.98
2.85
2.75
2.67
2.60
2.54
2.49
2.45
2.41
2.38
2.35
2.32
2.30
2.28
2.26
2.24
2.22
2.20
2.19
2.18
2.17
2.11
2.08
2.03
1.99
1.97
1.95
1.93
1.89
1.86
1.84
435
436
Statistical Tables
Table A-4 (continued)
α = .05
Degrees of freedom for numerator (df1)
df2
11
12
13
14
15
16
17
18
19
20
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
35
40
50
60
70
80
100
150
300
1000
243.98
19.41
8.76
5.94
4.70
4.03
3.60
3.31
3.10
2.94
2.82
2.72
2.64
2.57
2.51
2.46
2.41
2.37
2.34
2.31
2.28
2.26
2.24
2.22
2.20
2.18
2.17
2.15
2.14
2.13
2.08
2.04
1.99
1.95
1.93
1.91
1.89
1.85
1.82
1.80
243.91
19.41
8.75
5.91
4.68
4.00
3.58
3.28
3.07
2.91
2.79
2.69
2.60
2.53
2.48
2.43
2.38
2.34
2.31
2.28
2.25
2.23
2.20
2.18
2.17
2.15
2.13
2.12
2.10
2.09
2.04
2.00
1.95
1.92
1.89
1.88
1.85
1.82
1.78
1.76
244.69
19.42
8.73
5.89
4.66
3.98
3.55
3.26
3.05
2.89
2.76
2.66
2.58
2.51
2.45
2.40
2.35
2.31
2.28
2.25
2.22
2.20
2.18
2.16
2.14
2.12
2.10
2.09
2.08
2.06
2.01
1.97
1.92
1.89
1.86
1.85
1.82
1.78
1.75
1.73
245.36
19.42
8.72
5.87
4.64
3.96
3.53
3.24
3.03
2.87
2.74
2.64
2.55
2.48
2.42
2.37
2.33
2.29
2.26
2.23
2.20
2.17
2.15
2.13
2.11
2.09
2.08
2.06
2.05
2.04
1.99
1.95
1.90
1.86
1.84
1.82
1.79
1.76
1.72
1.70
245.95
19.43
8.70
5.86
4.62
3.94
3.51
3.22
3.01
2.85
2.72
2.62
2.53
2.46
2.40
2.35
2.31
2.27
2.23
2.20
2.18
2.15
2.13
2.11
2.09
2.07
2.06
2.04
2.03
2.02
1.96
1.92
1.87
1.84
1.81
1.79
1.77
1.73
1.70
1.68
246.46
19.43
8.69
5.84
4.60
3.92
3.49
3.20
2.99
2.83
2.70
2.60
2.52
2.45
2.39
2.33
2.29
2.25
2.22
2.18
2.16
2.13
2.11
2.09
2.07
2.05
2.04
2.02
2.01
2.00
1.94
1.90
1.85
1.82
1.79
1.77
1.75
1.71
1.68
1.65
246.92
19.44
8.68
5.83
4.59
3.91
3.48
3.19
2.97
2.81
2.69
2.58
2.50
2.43
2.37
2.32
2.27
2.23
2.20
2.17
2.14
2.11
2.09
2.07
2.05
2.03
2.02
2.00
1.99
1.98
1.92
1.89
1.83
1.80
1.77
1.75
1.73
1.69
1.66
1.63
247.32
19.44
8.68
5.82
4.58
3.90
3.47
3.17
2.96
2.80
2.67
2.57
2.48
2.41
2.35
2.30
2.26
2.22
2.18
2.15
2.12
2.10
2.08
2.05
2.04
2.02
2.00
1.99
1.97
1.96
1.91
1.87
1.81
1.78
1.75
1.73
1.71
1.67
1.64
1.61
247.69
19.44
8.67
5.81
4.57
3.88
3.46
3.16
2.95
2.79
2.66
2.56
2.47
2.40
2.34
2.29
2.24
2.20
2.17
2.14
2.11
2.08
2.06
2.04
2.02
2.00
1.99
1.97
1.96
1.95
1.89
1.85
1.80
1.76
1.74
1.72
1.69
1.67
1.62
1.60
248.02
19.45
8.66
5.80
4.56
3.87
3.45
3.15
2.94
2.77
2.65
2.54
2.46
2.39
2.33
2.28
2.23
2.19
2.16
2.12
2.10
2.07
2.05
2.03
2.01
1.99
1.97
1.96
1.95
1.93
1.88
1.84
1.78
1.75
1.72
1.70
1.68
1.64
1.60
1.58
Note. df2 = degrees of freedom for denominator.
Statistical Tables
Table A-4 (continued)
α = .05
df2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
35
40
50
60
70
80
100
150
300
1000
Degrees of freedom for numerator (df1)
21
248.32
19.45
8.65
5.79
4.55
3.86
3.43
3.14
2.93
2.76
2.64
2.53
2.45
2.38
2.32
2.26
2.22
2.18
2.14
2.11
2.08
2.06
2.04
2.01
2.00
1.98
1.96
1.95
1.93
1.92
1.87
1.83
1.77
1.73
1.71
1.69
1.66
1.63
1.59
1.57
22
248.57
19.45
8.65
5.79
4.54
3.86
3.43
3.13
2.92
2.75
2.63
2.52
2.44
2.37
2.31
2.25
2.21
2.17
2.13
2.10
2.07
2.05
2.02
2.00
1.98
1.97
1.95
1.93
1.92
1.91
1.85
1.81
1.76
1.72
1.70
1.68
1.65
1.61
1.58
1.55
23
248.82
19.45
8.64
5.78
4.53
3.85
3.42
3.12
2.91
2.75
2.62
2.51
2.43
2.36
2.3
2.24
2.20
2.16
2.12
2.09
2.06
2.04
2.01
1.99
1.97
1.96
1.94
1.92
1.91
1.90
1.84
1.80
1.75
1.71
1.68
1.67
1.64
1.60
1.57
1.54
24
249.07
19.45
8.64
5.77
4.53
3.84
3.41
3.12
2.90
2.74
2.61
2.51
2.42
2.35
2.29
2.24
2.19
2.15
2.11
2.08
2.05
2.03
2.01
1.98
1.96
1.95
1.93
1.91
1.90
1.89
1.83
1.79
1.74
1.70
1.67
1.65
1.63
1.59
1.55
1.53
25
249.25
19.46
8.63
5.77
4.52
3.83
3.40
3.11
2.89
2.73
2.60
2.50
2.41
2.34
2.28
2.23
2.18
2.14
2.11
2.07
2.05
2.02
2.00
1.97
1.96
1.94
1.92
1.91
1.89
1.88
1.82
1.78
1.73
1.69
1.66
1.64
1.62
1.58
1.54
1.52
Note. df2 = degrees of freedom for denominator.
26
249.44
19.46
8.63
5.76
4.52
3.83
3.40
3.10
2.89
2.72
2.59
2.49
2.41
2.33
2.27
2.22
2.17
2.13
2.10
2.07
2.04
2.01
1.99
1.97
1.95
1.93
1.91
1.90
1.88
1.87
1.82
1.77
1.72
1.68
1.65
1.63
1.61
1.57
1.53
1.51
27
249.62
19.46
8.63
5.76
4.51
3.82
3.39
3.1
2.88
2.72
2.59
2.48
2.40
2.33
2.27
2.21
2.17
2.13
2.09
2.06
2.03
2.00
1.98
1.96
1.94
1.92
1.90
1.89
1.88
1.86
1.81
1.77
1.71
1.67
1.65
1.63
1.60
1.56
1.52
1.50
28
249.81
19.46
8.62
5.75
4.50
3.82
3.39
3.09
2.87
2.71
2.58
2.48
2.39
2.32
2.26
2.21
2.16
2.12
2.08
2.05
2.02
2.00
1.97
1.95
1.93
1.91
1.90
1.88
1.87
1.85
1.80
1.76
1.70
1.66
1.64
1.62
1.59
1.55
1.51
1.49
29
249.94
19.46
8.62
5.75
4.50
3.81
3.38
3.08
2.87
2.70
2.58
2.47
2.39
2.31
2.25
2.20
2.15
2.11
2.08
2.05
2.02
1.99
1.97
1.95
1.93
1.91
1.89
1.88
1.86
1.85
1.79
1.75
1.69
1.66
1.63
1.61
1.58
1.54
1.51
1.48
30
250.12
19.46
8.62
5.75
4.50
3.81
3.38
3.08
2.86
2.70
2.57
2.47
2.38
2.31
2.25
2.19
2.15
2.11
2.07
2.04
2.01
1.98
1.96
1.94
1.92
1.90
1.88
1.87
1.85
1.84
1.79
1.74
1.69
1.65
1.62
1.60
1.57
1.54
1.50
1.47
437
438
Statistical Tables
Table A-4 (continued)
Degrees of freedom for numerator (df1)
α = .05
df2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
35
40
50
60
70
80
100
150
300
1000
31
250.25
19.46
8.61
5.74
4.49
3.80
3.37
3.07
2.86
2.69
2.57
2.46
2.38
2.30
2.24
2.19
2.14
2.10
2.07
2.03
2.00
1.98
1.95
1.93
1.91
1.89
1.88
1.86
1.85
1.83
1.78
1.74
1.68
1.64
1.62
1.59
1.57
1.53
1.49
1.46
32
250.38
19.46
8.61
5.74
4.49
3.8
3.37
3.07
2.85
2.69
2.56
2.46
2.37
2.30
2.24
2.18
2.14
2.10
2.06
2.03
2.00
1.97
1.95
1.93
1.91
1.89
1.87
1.86
1.84
1.83
1.77
1.73
1.67
1.64
1.61
1.59
1.56
1.52
1.48
1.46
33
250.50
19.46
8.61
5.74
4.48
3.8
3.36
3.07
2.85
2.69
2.56
2.45
2.37
2.29
2.23
2.18
2.13
2.09
2.06
2.02
1.99
1.97
1.94
1.92
1.9
1.88
1.87
1.85
1.84
1.82
1.77
1.73
1.67
1.63
1.60
1.58
1.55
1.51
1.48
1.45
34
250.56
19.47
8.61
5.73
4.48
3.79
3.36
3.06
2.85
2.68
2.55
2.45
2.36
2.29
2.23
2.17
2.13
2.09
2.05
2.02
1.99
1.96
1.94
1.92
1.90
1.88
1.86
1.85
1.83
1.82
1.76
1.72
1.66
1.62
1.60
1.58
1.55
1.51
1.47
1.44
35
250.69
19.47
8.60
5.73
4.48
3.79
3.36
3.06
2.84
2.68
2.55
2.44
2.36
2.28
2.22
2.17
2.12
2.08
2.05
2.01
1.98
1.96
1.93
1.91
1.89
1.87
1.86
1.84
1.83
1.81
1.76
1.72
1.66
1.62
1.59
1.57
1.54
1.50
1.46
1.43
Note. df2 = degrees of freedom for denominator.
36
250.82
19.47
8.60
5.73
4.47
3.79
3.35
3.06
2.84
2.67
2.54
2.44
2.35
2.28
2.22
2.17
2.12
2.08
2.04
2.01
1.98
1.95
1.93
1.91
1.89
1.87
1.85
1.84
1.82
1.81
1.75
1.71
1.65
1.61
1.59
1.56
1.54
1.50
1.46
1.43
37
250.88
19.47
8.60
5.72
4.47
3.78
3.35
3.05
2.84
2.67
2.54
2.44
2.35
2.28
2.21
2.16
2.11
2.07
2.04
2.01
1.98
1.95
1.93
1.90
1.88
1.87
1.85
1.83
1.82
1.80
1.75
1.71
1.65
1.61
1.58
1.56
1.53
1.49
1.45
1.42
38
250.88
19.47
8.60
5.72
4.47
3.78
3.35
3.05
2.83
2.67
2.54
2.43
2.35
2.27
2.21
2.16
2.11
2.07
2.03
2.00
1.97
1.95
1.92
1.90
1.88
1.86
1.84
1.83
1.81
1.80
1.74
1.70
1.64
1.60
1.58
1.55
1.52
1.49
1.45
1.42
39
251.07
19.47
8.60
5.72
4.47
3.78
3.34
3.05
2.83
2.66
2.53
2.43
2.34
2.27
2.21
2.15
2.11
2.07
2.03
2.00
1.97
1.94
1.92
1.90
1.88
1.86
1.84
1.82
1.81
1.80
1.74
1.70
1.64
1.60
1.57
1.55
1.52
1.48
1.44
1.41
40
251.13
19.47
8.59
5.72
4.46
3.77
3.34
3.04
2.83
2.66
2.53
2.43
2.34
2.27
2.20
2.15
2.10
2.06
2.03
1.99
1.96
1.94
1.91
1.89
1.87
1.85
1.84
1.82
1.81
1.79
1.74
1.69
1.63
1.59
1.57
1.54
1.52
1.48
1.43
1.41
Statistical Tables
Table A-4 (continued)
Degrees of freedom for numerator (df1)
α = .05
df2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
35
40
50
60
70
80
100
150
300
1000
45
251.51
19.47
8.59
5.71
4.45
3.76
3.33
3.03
2.81
2.65
2.52
2.41
2.33
2.25
2.19
2.14
2.09
2.05
2.01
1.98
1.95
1.92
1.90
1.88
1.86
1.84
1.82
1.80
1.79
1.77
1.72
1.67
1.61
1.57
1.55
1.52
1.49
1.45
1.41
1.38
50
251.76
19.48
8.58
5.70
4.44
3.75
3.32
3.02
2.80
2.64
2.51
2.40
2.31
2.24
2.18
2.12
2.08
2.04
2.00
1.97
1.94
1.91
1.88
1.86
1.84
1.82
1.81
1.79
1.77
1.76
1.70
1.66
1.60
1.56
1.53
1.51
1.48
1.44
1.39
1.36
60
252.21
19.48
8.57
5.69
4.43
3.74
3.30
3.01
2.79
2.62
2.49
2.38
2.30
2.22
2.16
2.11
2.06
2.02
1.98
1.95
1.92
1.89
1.86
1.84
1.82
1.80
1.79
1.77
1.75
1.74
1.68
1.64
1.58
1.53
1.50
1.48
1.45
1.41
1.36
1.33
70
252.52
19.48
8.57
5.68
4.42
3.73
3.29
2.99
2.78
2.61
2.48
2.37
2.28
2.21
2.15
2.09
2.05
2.00
1.97
1.93
1.90
1.88
1.85
1.83
1.81
1.79
1.77
1.75
1.74
1.72
1.66
1.62
1.56
1.52
1.49
1.46
1.43
1.39
1.34
1.31
80
252.72
19.48
8.56
5.67
4.41
3.72
3.29
2.99
2.77
2.60
2.47
2.36
2.27
2.20
2.14
2.08
2.03
1.99
1.96
1.92
1.89
1.86
1.84
1.82
1.80
1.78
1.76
1.74
1.73
1.71
1.65
1.61
1.54
1.50
1.47
1.45
1.41
1.37
1.32
1.29
Note. df2 = degrees of freedom for denominator.
100
253.04
19.48
8.55
5.66
4.41
3.71
3.27
2.97
2.76
2.59
2.46
2.35
2.26
2.19
2.12
2.07
2.02
1.98
1.94
1.91
1.88
1.85
1.82
1.80
1.78
1.76
1.74
1.73
1.71
1.70
1.63
1.59
1.52
1.48
1.45
1.43
1.39
1.34
1.30
1.26
120
253.23
19.49
8.55
5.66
4.40
3.70
3.27
2.97
2.75
2.58
2.45
2.34
2.25
2.18
2.11
2.06
2.01
1.97
1.93
1.90
1.87
1.84
1.81
1.79
1.77
1.75
1.73
1.71
1.70
1.68
1.62
1.58
1.51
1.47
1.44
1.41
1.38
1.33
1.28
1.24
150
253.48
19.49
8.54
5.65
4.39
3.70
3.26
2.96
2.74
2.57
2.44
2.33
2.24
2.17
2.10
2.05
2.00
1.96
1.92
1.89
1.86
1.83
1.8
1.78
1.76
1.74
1.72
1.70
1.69
1.67
1.61
1.56
1.50
1.45
1.42
1.39
1.36
1.31
1.26
1.22
300
253.87
19.49
8.54
5.64
4.38
3.68
3.24
2.94
2.72
2.55
2.42
2.31
2.23
2.15
2.09
2.03
1.98
1.94
1.90
1.86
1.83
1.81
1.78
1.76
1.73
1.71
1.70
1.68
1.66
1.65
1.58
1.54
1.47
1.42
1.39
1.36
1.32
1.27
1.21
1.16
1000
254.19
19.49
8.53
5.63
4.37
3.67
3.23
2.93
2.71
2.54
2.41
2.30
2.21
2.14
2.07
2.02
1.97
1.92
1.88
1.85
1.82
1.79
1.76
1.74
1.72
1.70
1.68
1.66
1.65
1.63
1.57
1.52
1.45
1.40
1.36
1.34
1.30
1.24
1.17
1.11
439