March 10, 2018
R Statistics
\(\text{Normal Distribution}\)

Table 2: Cumulative Probabilities of the Standard Normal Distribution, \(X \sim N(0,1)\)
z
|
0
|
0.01
|
0.02
|
0.03
|
0.04
|
0.05
|
0.06
|
0.07
|
0.08
|
0.09
|
0.0
|
0.5000
|
0.5040
|
0.5080
|
0.5120
|
0.5160
|
0.5199
|
0.5239
|
0.5279
|
0.5319
|
0.5359
|
0.1
|
0.5398
|
0.5438
|
0.5478
|
0.5517
|
0.5557
|
0.5596
|
0.5636
|
0.5675
|
0.5714
|
0.5753
|
0.2
|
0.5793
|
0.5832
|
0.5871
|
0.5910
|
0.5948
|
0.5987
|
0.6026
|
0.6064
|
0.6103
|
0.6141
|
0.3
|
0.6179
|
0.6217
|
0.6255
|
0.6293
|
0.6331
|
0.6368
|
0.6406
|
0.6443
|
0.6480
|
0.6517
|
0.4
|
0.6554
|
0.6591
|
0.6628
|
0.6664
|
0.6700
|
0.6736
|
0.6772
|
0.6808
|
0.6844
|
0.6879
|
0.5
|
0.6915
|
0.6950
|
0.6985
|
0.7019
|
0.7054
|
0.7088
|
0.7123
|
0.7157
|
0.7190
|
0.7224
|
0.6
|
0.7257
|
0.7291
|
0.7324
|
0.7357
|
0.7389
|
0.7422
|
0.7454
|
0.7486
|
0.7517
|
0.7549
|
0.7
|
0.7580
|
0.7611
|
0.7642
|
0.7673
|
0.7704
|
0.7734
|
0.7764
|
0.7794
|
0.7823
|
0.7852
|
0.8
|
0.7881
|
0.7910
|
0.7939
|
0.7967
|
0.7995
|
0.8023
|
0.8051
|
0.8078
|
0.8106
|
0.8133
|
0.9
|
0.8159
|
0.8186
|
0.8212
|
0.8238
|
0.8264
|
0.8289
|
0.8315
|
0.8340
|
0.8365
|
0.8389
|
1.0
|
0.8413
|
0.8438
|
0.8461
|
0.8485
|
0.8508
|
0.8531
|
0.8554
|
0.8577
|
0.8599
|
0.8621
|
1.1
|
0.8643
|
0.8665
|
0.8686
|
0.8708
|
0.8729
|
0.8749
|
0.8770
|
0.8790
|
0.8810
|
0.8830
|
1.2
|
0.8849
|
0.8869
|
0.8888
|
0.8907
|
0.8925
|
0.8944
|
0.8962
|
0.8980
|
0.8997
|
0.9015
|
1.3
|
0.9032
|
0.9049
|
0.9066
|
0.9082
|
0.9099
|
0.9115
|
0.9131
|
0.9147
|
0.9162
|
0.9177
|
1.4
|
0.9192
|
0.9207
|
0.9222
|
0.9236
|
0.9251
|
0.9265
|
0.9279
|
0.9292
|
0.9306
|
0.9319
|
1.5
|
0.9332
|
0.9345
|
0.9357
|
0.9370
|
0.9382
|
0.9394
|
0.9406
|
0.9418
|
0.9429
|
0.9441
|
1.6
|
0.9452
|
0.9463
|
0.9474
|
0.9484
|
0.9495
|
0.9505
|
0.9515
|
0.9525
|
0.9535
|
0.9545
|
1.7
|
0.9554
|
0.9564
|
0.9573
|
0.9582
|
0.9591
|
0.9599
|
0.9608
|
0.9616
|
0.9625
|
0.9633
|
1.8
|
0.9641
|
0.9649
|
0.9656
|
0.9664
|
0.9671
|
0.9678
|
0.9686
|
0.9693
|
0.9699
|
0.9706
|
1.9
|
0.9713
|
0.9719
|
0.9726
|
0.9732
|
0.9738
|
0.9744
|
0.9750
|
0.9756
|
0.9761
|
0.9767
|
2.0
|
0.9772
|
0.9778
|
0.9783
|
0.9788
|
0.9793
|
0.9798
|
0.9803
|
0.9808
|
0.9812
|
0.9817
|
2.1
|
0.9821
|
0.9826
|
0.9830
|
0.9834
|
0.9838
|
0.9842
|
0.9846
|
0.9850
|
0.9854
|
0.9857
|
2.2
|
0.9861
|
0.9864
|
0.9868
|
0.9871
|
0.9875
|
0.9878
|
0.9881
|
0.9884
|
0.9887
|
0.9890
|
2.3
|
0.9893
|
0.9896
|
0.9898
|
0.9901
|
0.9904
|
0.9906
|
0.9909
|
0.9911
|
0.9913
|
0.9916
|
2.4
|
0.9918
|
0.9920
|
0.9922
|
0.9925
|
0.9927
|
0.9929
|
0.9931
|
0.9932
|
0.9934
|
0.9936
|
2.5
|
0.9938
|
0.9940
|
0.9941
|
0.9943
|
0.9945
|
0.9946
|
0.9948
|
0.9949
|
0.9951
|
0.9952
|
2.6
|
0.9953
|
0.9955
|
0.9956
|
0.9957
|
0.9959
|
0.9960
|
0.9961
|
0.9962
|
0.9963
|
0.9964
|
2.7
|
0.9965
|
0.9966
|
0.9967
|
0.9968
|
0.9969
|
0.9970
|
0.9971
|
0.9972
|
0.9973
|
0.9974
|
2.8
|
0.9974
|
0.9975
|
0.9976
|
0.9977
|
0.9977
|
0.9978
|
0.9979
|
0.9979
|
0.9980
|
0.9981
|
2.9
|
0.9981
|
0.9982
|
0.9982
|
0.9983
|
0.9984
|
0.9984
|
0.9985
|
0.9985
|
0.9986
|
0.9986
|
3.0
|
0.9987
|
0.9987
|
0.9987
|
0.9988
|
0.9988
|
0.9989
|
0.9989
|
0.9989
|
0.9990
|
0.9990
|
3.1
|
0.9990
|
0.9991
|
0.9991
|
0.9991
|
0.9992
|
0.9992
|
0.9992
|
0.9992
|
0.9993
|
0.9993
|
3.2
|
0.9993
|
0.9993
|
0.9994
|
0.9994
|
0.9994
|
0.9994
|
0.9994
|
0.9995
|
0.9995
|
0.9995
|
3.3
|
0.9995
|
0.9995
|
0.9995
|
0.9996
|
0.9996
|
0.9996
|
0.9996
|
0.9996
|
0.9996
|
0.9997
|
3.4
|
0.9997
|
0.9997
|
0.9997
|
0.9997
|
0.9997
|
0.9997
|
0.9997
|
0.9997
|
0.9997
|
0.9998
|
\(t \text{ Distribution}\)

Table 3: Percentiles of the t Distribution
\(v \big\backslash \alpha\)
|
0.1
|
0.05
|
0.025
|
0.01
|
0.005
|
1
|
3.0777
|
6.3138
|
12.7062
|
31.8205
|
63.6567
|
2
|
1.8856
|
2.9200
|
4.3027
|
6.9646
|
9.9248
|
3
|
1.6377
|
2.3534
|
3.1824
|
4.5407
|
5.8409
|
4
|
1.5332
|
2.1318
|
2.7764
|
3.7469
|
4.6041
|
5
|
1.4759
|
2.0150
|
2.5706
|
3.3649
|
4.0321
|
6
|
1.4398
|
1.9432
|
2.4469
|
3.1427
|
3.7074
|
7
|
1.4149
|
1.8946
|
2.3646
|
2.9980
|
3.4995
|
8
|
1.3968
|
1.8595
|
2.3060
|
2.8965
|
3.3554
|
9
|
1.3830
|
1.8331
|
2.2622
|
2.8214
|
3.2498
|
10
|
1.3722
|
1.8125
|
2.2281
|
2.7638
|
3.1693
|
11
|
1.3634
|
1.7959
|
2.2010
|
2.7181
|
3.1058
|
12
|
1.3562
|
1.7823
|
2.1788
|
2.6810
|
3.0545
|
13
|
1.3502
|
1.7709
|
2.1604
|
2.6503
|
3.0123
|
14
|
1.3450
|
1.7613
|
2.1448
|
2.6245
|
2.9768
|
15
|
1.3406
|
1.7531
|
2.1314
|
2.6025
|
2.9467
|
16
|
1.3368
|
1.7459
|
2.1199
|
2.5835
|
2.9208
|
17
|
1.3334
|
1.7396
|
2.1098
|
2.5669
|
2.8982
|
18
|
1.3304
|
1.7341
|
2.1009
|
2.5524
|
2.8784
|
19
|
1.3277
|
1.7291
|
2.0930
|
2.5395
|
2.8609
|
20
|
1.3253
|
1.7247
|
2.0860
|
2.5280
|
2.8453
|
21
|
1.3232
|
1.7207
|
2.0796
|
2.5176
|
2.8314
|
22
|
1.3212
|
1.7171
|
2.0739
|
2.5083
|
2.8188
|
23
|
1.3195
|
1.7139
|
2.0687
|
2.4999
|
2.8073
|
24
|
1.3178
|
1.7109
|
2.0639
|
2.4922
|
2.7969
|
25
|
1.3163
|
1.7081
|
2.0595
|
2.4851
|
2.7874
|
26
|
1.3150
|
1.7056
|
2.0555
|
2.4786
|
2.7787
|
27
|
1.3137
|
1.7033
|
2.0518
|
2.4727
|
2.7707
|
28
|
1.3125
|
1.7011
|
2.0484
|
2.4671
|
2.7633
|
29
|
1.3114
|
1.6991
|
2.0452
|
2.4620
|
2.7564
|
30
|
1.3104
|
1.6973
|
2.0423
|
2.4573
|
2.7500
|
\(\infty\)
|
1.2816
|
1.6449
|
1.9600
|
2.3263
|
2.5758
|
\(\chi^2 \text{ Distribution}\)

Table 4: Percentiles of the \(\chi^2\) Distribution
\(v \big\backslash \alpha\)
|
0.995
|
0.99
|
0.975
|
0.95
|
0.9
|
0.75
|
0.5
|
0.25
|
0.1
|
0.05
|
0.025
|
0.01
|
0.005
|
0.001
|
1
|
0.00
|
0.00
|
0.00
|
0.00
|
0.02
|
0.10
|
0.45
|
1.32
|
2.71
|
3.84
|
5.02
|
6.63
|
7.88
|
10.83
|
2
|
0.01
|
0.02
|
0.05
|
0.10
|
0.21
|
0.58
|
1.39
|
2.77
|
4.61
|
5.99
|
7.38
|
9.21
|
10.60
|
13.82
|
3
|
0.07
|
0.11
|
0.22
|
0.35
|
0.58
|
1.21
|
2.37
|
4.11
|
6.25
|
7.81
|
9.35
|
11.34
|
12.84
|
16.27
|
4
|
0.21
|
0.30
|
0.48
|
0.71
|
1.06
|
1.92
|
3.36
|
5.39
|
7.78
|
9.49
|
11.14
|
13.28
|
14.86
|
18.47
|
5
|
0.41
|
0.55
|
0.83
|
1.15
|
1.61
|
2.67
|
4.35
|
6.63
|
9.24
|
11.07
|
12.83
|
15.09
|
16.75
|
20.52
|
6
|
0.68
|
0.87
|
1.24
|
1.64
|
2.20
|
3.45
|
5.35
|
7.84
|
10.64
|
12.59
|
14.45
|
16.81
|
18.55
|
22.46
|
7
|
0.99
|
1.24
|
1.69
|
2.17
|
2.83
|
4.25
|
6.35
|
9.04
|
12.02
|
14.07
|
16.01
|
18.48
|
20.28
|
24.32
|
8
|
1.34
|
1.65
|
2.18
|
2.73
|
3.49
|
5.07
|
7.34
|
10.22
|
13.36
|
15.51
|
17.53
|
20.09
|
21.95
|
26.12
|
9
|
1.73
|
2.09
|
2.70
|
3.33
|
4.17
|
5.90
|
8.34
|
11.39
|
14.68
|
16.92
|
19.02
|
21.67
|
23.59
|
27.88
|
10
|
2.16
|
2.56
|
3.25
|
3.94
|
4.87
|
6.74
|
9.34
|
12.55
|
15.99
|
18.31
|
20.48
|
23.21
|
25.19
|
29.59
|
11
|
2.60
|
3.05
|
3.82
|
4.57
|
5.58
|
7.58
|
10.34
|
13.70
|
17.28
|
19.68
|
21.92
|
24.72
|
26.76
|
31.26
|
12
|
3.07
|
3.57
|
4.40
|
5.23
|
6.30
|
8.44
|
11.34
|
14.85
|
18.55
|
21.03
|
23.34
|
26.22
|
28.30
|
32.91
|
13
|
3.57
|
4.11
|
5.01
|
5.89
|
7.04
|
9.30
|
12.34
|
15.98
|
19.81
|
22.36
|
24.74
|
27.69
|
29.82
|
34.53
|
14
|
4.07
|
4.66
|
5.63
|
6.57
|
7.79
|
10.17
|
13.34
|
17.12
|
21.06
|
23.68
|
26.12
|
29.14
|
31.32
|
36.12
|
15
|
4.60
|
5.23
|
6.26
|
7.26
|
8.55
|
11.04
|
14.34
|
18.25
|
22.31
|
25.00
|
27.49
|
30.58
|
32.80
|
37.70
|
16
|
5.14
|
5.81
|
6.91
|
7.96
|
9.31
|
11.91
|
15.34
|
19.37
|
23.54
|
26.30
|
28.85
|
32.00
|
34.27
|
39.25
|
17
|
5.70
|
6.41
|
7.56
|
8.67
|
10.09
|
12.79
|
16.34
|
20.49
|
24.77
|
27.59
|
30.19
|
33.41
|
35.72
|
40.79
|
18
|
6.26
|
7.01
|
8.23
|
9.39
|
10.86
|
13.68
|
17.34
|
21.60
|
25.99
|
28.87
|
31.53
|
34.81
|
37.16
|
42.31
|
19
|
6.84
|
7.63
|
8.91
|
10.12
|
11.65
|
14.56
|
18.34
|
22.72
|
27.20
|
30.14
|
32.85
|
36.19
|
38.58
|
43.82
|
20
|
7.43
|
8.26
|
9.59
|
10.85
|
12.44
|
15.45
|
19.34
|
23.83
|
28.41
|
31.41
|
34.17
|
37.57
|
40.00
|
45.31
|
21
|
8.03
|
8.90
|
10.28
|
11.59
|
13.24
|
16.34
|
20.34
|
24.93
|
29.62
|
32.67
|
35.48
|
38.93
|
41.40
|
46.80
|
22
|
8.64
|
9.54
|
10.98
|
12.34
|
14.04
|
17.24
|
21.34
|
26.04
|
30.81
|
33.92
|
36.78
|
40.29
|
42.80
|
48.27
|
23
|
9.26
|
10.20
|
11.69
|
13.09
|
14.85
|
18.14
|
22.34
|
27.14
|
32.01
|
35.17
|
38.08
|
41.64
|
44.18
|
49.73
|
24
|
9.89
|
10.86
|
12.40
|
13.85
|
15.66
|
19.04
|
23.34
|
28.24
|
33.20
|
36.42
|
39.36
|
42.98
|
45.56
|
51.18
|
25
|
10.52
|
11.52
|
13.12
|
14.61
|
16.47
|
19.94
|
24.34
|
29.34
|
34.38
|
37.65
|
40.65
|
44.31
|
46.93
|
52.62
|
30
|
13.79
|
14.95
|
16.79
|
18.49
|
20.60
|
24.48
|
29.34
|
34.80
|
40.26
|
43.77
|
46.98
|
50.89
|
53.67
|
59.70
|
40
|
20.71
|
22.16
|
24.43
|
26.51
|
29.05
|
33.66
|
39.34
|
45.62
|
51.81
|
55.76
|
59.34
|
63.69
|
66.77
|
73.40
|
50
|
27.99
|
29.71
|
32.36
|
34.76
|
37.69
|
42.94
|
49.33
|
56.33
|
63.17
|
67.50
|
71.42
|
76.15
|
79.49
|
86.66
|
60
|
35.53
|
37.48
|
40.48
|
43.19
|
46.46
|
52.29
|
59.33
|
66.98
|
74.40
|
79.08
|
83.30
|
88.38
|
91.95
|
99.61
|
70
|
43.28
|
45.44
|
48.76
|
51.74
|
55.33
|
61.70
|
69.33
|
77.58
|
85.53
|
90.53
|
95.02
|
100.43
|
104.21
|
112.32
|
80
|
51.17
|
53.54
|
57.15
|
60.39
|
64.28
|
71.14
|
79.33
|
88.13
|
96.58
|
101.88
|
106.63
|
112.33
|
116.32
|
124.84
|
90
|
59.20
|
61.75
|
65.65
|
69.13
|
73.29
|
80.62
|
89.33
|
98.65
|
107.57
|
113.15
|
118.14
|
124.12
|
128.30
|
137.21
|
100
|
67.33
|
70.06
|
74.22
|
77.93
|
82.36
|
90.13
|
99.33
|
109.14
|
118.50
|
124.34
|
129.56
|
135.81
|
140.17
|
149.45
|
\(F(v_1, v_2) \text{ Distribution}\)

Table 5: 95th Percentiles of the \(F(v_1,v_2)\)
\(v_2 \big\backslash v_1\)
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
12
|
15
|
20
|
24
|
30
|
40
|
60
|
120
|
\(\infty\)
|
1
|
161.45
|
199.50
|
215.71
|
224.58
|
230.16
|
233.99
|
236.77
|
238.88
|
240.54
|
241.88
|
243.91
|
245.95
|
248.01
|
249.05
|
250.10
|
251.14
|
252.20
|
253.25
|
254.31
|
2
|
18.51
|
19.00
|
19.16
|
19.25
|
19.30
|
19.33
|
19.35
|
19.37
|
19.38
|
19.40
|
19.41
|
19.43
|
19.45
|
19.45
|
19.46
|
19.47
|
19.48
|
19.49
|
19.50
|
3
|
10.13
|
9.55
|
9.28
|
9.12
|
9.01
|
8.94
|
8.89
|
8.85
|
8.81
|
8.79
|
8.74
|
8.70
|
8.66
|
8.64
|
8.62
|
8.59
|
8.57
|
8.55
|
8.53
|
4
|
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
|
5.77
|
5.75
|
5.72
|
5.69
|
5.66
|
5.63
|
5
|
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
|
4.53
|
4.50
|
4.46
|
4.43
|
4.40
|
4.36
|
6
|
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
|
3.84
|
3.81
|
3.77
|
3.74
|
3.70
|
3.67
|
7
|
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
|
3.41
|
3.38
|
3.34
|
3.30
|
3.27
|
3.23
|
8
|
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
|
3.12
|
3.08
|
3.04
|
3.01
|
2.97
|
2.93
|
9
|
5.12
|
4.26
|
3.86
|
3.63
|
3.48
|
3.37
|
3.29
|
3.23
|
3.18
|
3.14
|
3.07
|
3.01
|
2.94
|
2.90
|
2.86
|
2.83
|
2.79
|
2.75
|
2.71
|
10
|
4.96
|
4.10
|
3.71
|
3.48
|
3.33
|
3.22
|
3.14
|
3.07
|
3.02
|
2.98
|
2.91
|
2.85
|
2.77
|
2.74
|
2.70
|
2.66
|
2.62
|
2.58
|
2.54
|
12
|
4.75
|
3.89
|
3.49
|
3.26
|
3.11
|
3.00
|
2.91
|
2.85
|
2.80
|
2.75
|
2.69
|
2.62
|
2.54
|
2.51
|
2.47
|
2.43
|
2.38
|
2.34
|
2.30
|
15
|
4.54
|
3.68
|
3.29
|
3.06
|
2.90
|
2.79
|
2.71
|
2.64
|
2.59
|
2.54
|
2.48
|
2.40
|
2.33
|
2.29
|
2.25
|
2.20
|
2.16
|
2.11
|
2.07
|
20
|
4.35
|
3.49
|
3.10
|
2.87
|
2.71
|
2.60
|
2.51
|
2.45
|
2.39
|
2.35
|
2.28
|
2.20
|
2.12
|
2.08
|
2.04
|
1.99
|
1.95
|
1.90
|
1.84
|
24
|
4.26
|
3.40
|
3.01
|
2.78
|
2.62
|
2.51
|
2.42
|
2.36
|
2.30
|
2.25
|
2.18
|
2.11
|
2.03
|
1.98
|
1.94
|
1.89
|
1.84
|
1.79
|
1.73
|
30
|
4.17
|
3.32
|
2.92
|
2.69
|
2.53
|
2.42
|
2.33
|
2.27
|
2.21
|
2.16
|
2.09
|
2.01
|
1.93
|
1.89
|
1.84
|
1.79
|
1.74
|
1.68
|
1.62
|
40
|
4.08
|
3.23
|
2.84
|
2.61
|
2.45
|
2.34
|
2.25
|
2.18
|
2.12
|
2.08
|
2.00
|
1.92
|
1.84
|
1.79
|
1.74
|
1.69
|
1.64
|
1.58
|
1.51
|
60
|
4.00
|
3.15
|
2.76
|
2.53
|
2.37
|
2.25
|
2.17
|
2.10
|
2.04
|
1.99
|
1.92
|
1.84
|
1.75
|
1.70
|
1.65
|
1.59
|
1.53
|
1.47
|
1.39
|
120
|
3.92
|
3.07
|
2.68
|
2.45
|
2.29
|
2.18
|
2.09
|
2.02
|
1.96
|
1.91
|
1.83
|
1.75
|
1.66
|
1.61
|
1.55
|
1.50
|
1.43
|
1.35
|
1.25
|
\(\infty\)
|
3.84
|
3.00
|
2.60
|
2.37
|
2.21
|
2.10
|
2.01
|
1.94
|
1.88
|
1.83
|
1.75
|
1.67
|
1.57
|
1.52
|
1.46
|
1.39
|
1.32
|
1.22
|
1.00
|
Table 6: 99th Percentiles of the \(F(v_1,v_2)\)
\(v_2 \big\backslash v_1\)
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
12
|
15
|
20
|
24
|
30
|
40
|
60
|
120
|
\(\infty\)
|
1
|
4052
|
5000
|
5403
|
5625
|
5764
|
5859
|
5928
|
5981
|
6022
|
6056
|
6106
|
6157
|
6209
|
6235
|
6261
|
6287
|
6313
|
6339
|
6366
|
2
|
98.50
|
99.00
|
99.17
|
99.25
|
99.30
|
99.33
|
99.36
|
99.37
|
99.39
|
99.40
|
99.42
|
99.43
|
99.45
|
99.46
|
99.47
|
99.47
|
99.48
|
99.49
|
99.50
|
3
|
34.12
|
30.82
|
29.46
|
28.71
|
28.24
|
27.91
|
27.67
|
27.49
|
27.35
|
27.23
|
27.05
|
26.87
|
26.69
|
26.60
|
26.50
|
26.41
|
26.32
|
26.22
|
26.13
|
4
|
21.20
|
18.00
|
16.69
|
15.98
|
15.52
|
15.21
|
14.98
|
14.80
|
14.66
|
14.55
|
14.37
|
14.20
|
14.02
|
13.93
|
13.84
|
13.75
|
13.65
|
13.56
|
13.46
|
5
|
16.26
|
13.27
|
12.06
|
11.39
|
10.97
|
10.67
|
10.46
|
10.29
|
10.16
|
10.05
|
9.89
|
9.72
|
9.55
|
9.47
|
9.38
|
9.29
|
9.20
|
9.11
|
9.02
|
6
|
13.75
|
10.92
|
9.78
|
9.15
|
8.75
|
8.47
|
8.26
|
8.10
|
7.98
|
7.87
|
7.72
|
7.56
|
7.40
|
7.31
|
7.23
|
7.14
|
7.06
|
6.97
|
6.88
|
7
|
12.25
|
9.55
|
8.45
|
7.85
|
7.46
|
7.19
|
6.99
|
6.84
|
6.72
|
6.62
|
6.47
|
6.31
|
6.16
|
6.07
|
5.99
|
5.91
|
5.82
|
5.74
|
5.65
|
8
|
11.26
|
8.65
|
7.59
|
7.01
|
6.63
|
6.37
|
6.18
|
6.03
|
5.91
|
5.81
|
5.67
|
5.52
|
5.36
|
5.28
|
5.20
|
5.12
|
5.03
|
4.95
|
4.86
|
9
|
10.56
|
8.02
|
6.99
|
6.42
|
6.06
|
5.80
|
5.61
|
5.47
|
5.35
|
5.26
|
5.11
|
4.96
|
4.81
|
4.73
|
4.65
|
4.57
|
4.48
|
4.40
|
4.31
|
10
|
10.04
|
7.56
|
6.55
|
5.99
|
5.64
|
5.39
|
5.20
|
5.06
|
4.94
|
4.85
|
4.71
|
4.56
|
4.41
|
4.33
|
4.25
|
4.17
|
4.08
|
4.00
|
3.91
|
12
|
9.33
|
6.93
|
5.95
|
5.41
|
5.06
|
4.82
|
4.64
|
4.50
|
4.39
|
4.30
|
4.16
|
4.01
|
3.86
|
3.78
|
3.70
|
3.62
|
3.54
|
3.45
|
3.36
|
15
|
8.68
|
6.36
|
5.42
|
4.89
|
4.56
|
4.32
|
4.14
|
4.00
|
3.89
|
3.80
|
3.67
|
3.52
|
3.37
|
3.29
|
3.21
|
3.13
|
3.05
|
2.96
|
2.87
|
20
|
8.10
|
5.85
|
4.94
|
4.43
|
4.10
|
3.87
|
3.70
|
3.56
|
3.46
|
3.37
|
3.23
|
3.09
|
2.94
|
2.86
|
2.78
|
2.69
|
2.61
|
2.52
|
2.42
|
24
|
7.82
|
5.61
|
4.72
|
4.22
|
3.90
|
3.67
|
3.50
|
3.36
|
3.26
|
3.17
|
3.03
|
2.89
|
2.74
|
2.66
|
2.58
|
2.49
|
2.40
|
2.31
|
2.21
|
30
|
7.56
|
5.39
|
4.51
|
4.02
|
3.70
|
3.47
|
3.30
|
3.17
|
3.07
|
2.98
|
2.84
|
2.70
|
2.55
|
2.47
|
2.39
|
2.30
|
2.21
|
2.11
|
2.01
|
40
|
7.31
|
5.18
|
4.31
|
3.83
|
3.51
|
3.29
|
3.12
|
2.99
|
2.89
|
2.80
|
2.66
|
2.52
|
2.37
|
2.29
|
2.20
|
2.11
|
2.02
|
1.92
|
1.80
|
60
|
7.08
|
4.98
|
4.13
|
3.65
|
3.34
|
3.12
|
2.95
|
2.82
|
2.72
|
2.63
|
2.50
|
2.35
|
2.20
|
2.12
|
2.03
|
1.94
|
1.84
|
1.73
|
1.60
|
120
|
6.85
|
4.79
|
3.95
|
3.48
|
3.17
|
2.96
|
2.79
|
2.66
|
2.56
|
2.47
|
2.34
|
2.19
|
2.03
|
1.95
|
1.86
|
1.76
|
1.66
|
1.53
|
1.38
|
\(\infty\)
|
6.63
|
4.61
|
3.78
|
3.32
|
3.02
|
2.80
|
2.64
|
2.51
|
2.41
|
2.32
|
2.18
|
2.04
|
1.88
|
1.79
|
1.70
|
1.59
|
1.47
|
1.32
|
1.00
|
November 5, 2018
sf leaflet osrm viridis shiny geospatial R
September 30, 2018
R geospatial sf shiny raster sp ggplot2 leaflet osrm httr rvest
September 2, 2018
R fitur