Davis J.C. Statistics and Data Analysis in Geology (3rd ed.)
Подождите немного. Документ загружается.
Statistics and Data Analysis in
Geology
Table
A.5.
Concluded.
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
.0003
77
.0006
76
.0012
75
.0020
74
.0035
73
.0055
72
.0087
71
.0131
70
.0189
69
.0265
68
.0364
67
.0487
66
.0641
65
.0825
64
.lo43
63
.1297
62
.1588
61
.1914
60
.2279
59
.2675
58
.3100
57
.3552
56
.4024
55
.4508
54
.5000
53
.5492
52
.5976
51
.6448
50
.6900
49
.7325
48
.7721
47
.8086
46
A412
45
A703
44
A957
43
.9175
42
.0002
.0003
.0006
.0011
.0019
.0030
.0047
.0070
.0103
.0145
.0200
.0270
.0361
.0469
.0603
.0760
.0946
.1159
.1405
.1678
.1984
.2317
.2679
.3063
.3472
.3894
.4333
.4775
.5225
.5667
.6106
.6528
.6937
.7321
.7683
.8016
84
83
82
81
80
79
78
77
76
75
74
73
72
71
70
69
68
67
66
65
64
63
62
61
60
59
58
57
56
55
54
53
52
51
50
49
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
.0001
100
,0002
99
.0003
98
.0005
97
.0009
96
.0015
95
.0023
94
.0035
93
.0052
92
,0074
91
,0103
90
,0141
89
.0190
88
.0249
87
.0325
86
.0415
85
,0524
84
.0652
83
,0803
82
.0974
81
.1172
80
.1393
79
.1641
78
.1911
77
.2209
76
.2527
75
,2869
74
,3227
73
,3605
72
.3992
71
.4392
70
,4796
69
.5204
68
,5608
67
.6008
66
.6395
65
.6773
64
.7131
63
.7473
62
.7791
61
.8089
60
612
Appendix
Table
A.6.
Critical values of Spearman's
p
for testing the significance
of
a rank correlation. Table gives upper critical value of Spearman's
p
for specified level of significance. Lower critical values are equal to
-p.
Significance,
ct,
for
One-tailed Test
Significance,
a,
for
Two-tailed Test
.10
.05
-02
5
.01
.005
.001
.20
.10
.05
.02
.01 .002
n
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
.8000
.7000
.6000
.5357
.so00
.4667
.4424
.4182
.3986
.3791
.3626
.3500
.3382
.3260
.3148
.3070
.2977
.2909
.2829
.2767
.2704
.2646
.2588
.2540
.2490
.2443
.2400
.8000
.8000
,7714
.6786
.6190
.5833
.5515
.5273
.4965
.4780
,4593
.4429
.4265
.4118
.3994
.3895
.3789
.3688
.3597
.3518
.3435
,3362
.3299
.3236
.3175
.3113
.3059
.goo0
.8286
.7450
.7143
.6833
,6364
.6091
.5804
.5
549
.5341
.5179
,5000
.4853
.4716
.4
5
79
.4451
.4351
.4241
.4150
.4061
.3977
.3894
.3822
.3749
.3685
.3620
.goo0
.8857
.8571
.8095
.7667
.7333
.7000
.6713
.6429
.6220
.6000
.5824
.5637
.5480
.5333
.5203
.5078
.4963
.4852
.4748
.4654
.4
5
64
.4481
.4401
.4320
.4251
.9429
.8929
.8571
.8167
.7818
.7455
.7273
.6978
.6747
.6536
.6324
.6152
.5975
.5825
.5684
,5545
.5426
.5306
,5200
.5100
.SO02
.4915
,4828
.4 744
.4665
.9643
.9286
.g000
.8667
.8364
.8182
.7912
.7670
.7464
.7265
.7083
.6904
.6737
.6586
.6455
.6318
.6186
.6070
.5962
.5856
.5757
.5660
.5567
.5479
613
Statistics and Data Analysis
in
Geology
Table
A.7.
Critical values
of
D
in the Kolmogorov-Smirnov goodness-of-fit test.
Significance,
a,
for
One-tailed Test
Significance,
a,
for
Two-tailed Test
0.1 0.05 0.02
5
0.05
0.02 0.01
0.2 0.1 0.05
0.02
5
0.01
0.005
n
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
0.7275
0.5551
0.4671
0.4 114
0.3720
0.3422
0.3187
0.2995
0.2834
0.2697
0.2579
0.2474
0.2382
0.2299
0.2225
0.2157
0.2096
0.2039
0.1986
0.1938
0.1893
0.1851
0.1812
0.1775
0.1740
0.1707
0.1676
0.1647
0.1619
0.1593
0.1568
0.1 544
0.1521
0.1499
0.1478
0.1458
0.1438
0.1420
0.1402
0.1385
0.8721
0.6655
0.5600
0.4932
0.4460
0.4103
0.3821
0.3591
0.3398
0.3234
0.3092
0.2967
0.2856
0.2757
0.2668
0.2586
0.2513
0.2444
0.2382
0.2323
0.2270
0.2219
0.2172
0.2128
0.2086
0.2047
0.2010
0.1975
0.1941
0.1910
0.1880
0.1851
0.1823
0.1797
0.1772
0.1748
0.1725
0.1702
0.1681
0.1660
0.9950
0.7592
0.6389
0.5627
0.5088
0.4681
0.436
0.4097
0.3877
0.3689
0.3527
0.3385
0.3258
0.3145
0.3043
0.2951
0.2866
0.2789
0.2717
0.2651
0.2589
0.2532
0.2478
0.2428
0.2380
0.2335
0.2293
0.2253
0.2215
0.2179
0.2144
0.2112
0.2080
0.2050
0.2021
0.1994
0.1967
0.1942
0.1917
0.1894
0.9999
0.8425
0.7090
0.6244
0.5646
0.5195
0.4838
0.4546
0.4302
0.4094
0.3914
0.3756
0.3616
0.3490
0.3377
0.3274
0.3181
0.3095
0.301
5
0.2942
0.2873
0.2810
0.2750
0.2694
0.2641
0.2591
0.2544
0.2500
0.2458
0.2418
0.2379
0.2343
0.2308
0.2275
0.2243
0.2212
0.2183
0.2155
0.2128
0.2102
0.9999
0.94 13
0.7922
0.6977
0.6309
0.5804
0.5405
0.5080
0.4807
0.4575
0.4373
0.4196
0.4040
0.3900
0.3773
0.3659
0.3554
0.3458
0.3369
0.3287
0.3211
0.3 139
0.3072
0.3010
0.2951
0.2895
0.2843
0.2793
0.2746
0.2701
0.2659
0.2618
0.2579
0.2542
0.2506
0.2472
0.2439
0.2408
0.2377
0.2348
0.9999
0.9999
0.8497
0.7483
0.6767
0.6226
0.5798
0.5448
0.5156
0.4907
0.4691
0.4501
0.4333
0.4183
0.4048
0.3924
0.3812
0.3709
0.3614
0.3526
0.3443
0.3367
0.3296
0.3228
0.3166
0.3106
0.3049
0.2996
0.2946
0.2897
0.2852
0.2808
0.2766
0.2726
0.2688
0.2652
0.2616
0.2582
0.2550
0.2519
(Continued)
614
Appendix
Table
A.7.
Continued.
Significance,
a,
for
One-tailed Test
Significance,
a,
for
Two-tailed Test
0.1 0.05 0.025
0.05
0.02 0.01
0.2 0.1 0.05
0.02
5
0.01 0.005
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
0.1368
0.1352
0.1337
0.1322
0.1307
0.1293
0.1280
0.1267
0.1254
0.1242
0.1230
0.1218
0.1206
0.1196
0.1185
0.1174
0.1164
0.1155
0.1145
0.1135
0.1126
0.1117
0.1108
0.1100
0.1092
0.1084
0.1075
0.1068
0.1060
0.1053
0.1045
0.1038
0.1031
0.1024
0.1017
0.1011
0.1004
0.0998
0.0992
0.0986
0.1640
0.1621
0.1602
0.1585
0.1567
0.1551
0.1534
0.1519
0.1503
0.1488
0.1474
0.1460
0.1447
0.1433
0.1421
0.1408
0.1396
0.1384
0.1373
0.1361
0.1350
0.1340
0.1329
0.1319
0.1309
0.1299
0.1290
0.1280
0.1271
0.1262
0.1253
0.1245
0.1236
0.1228
0.1220
0.1212
0.1204
0.1197
0.1189
0.1182
0.1871
0.1849
0.1828
0.1808
0.1788
0.1769
0.1751
0.1732
0.1715
0.1698
0.1682
0.1666
0.1650
0.1635
0.1621
0.1606
0.1 592
0.1579
0.1566
0.1553
0.1540
0.1528
0.1516
0.1505
0.1493
0.1482
0.1471
0.1460
0.1450
0.1440
0.1430
0.1420
0.1411
0.1401
0.1392
0.1383
0.1374
0.1365
0.1357
0.1348
(Con tin ued)
0.2076
0.2052
0.2029
0.2006
0.1984
0.1963
0.1942
0.1923
0.1903
0.1885
0.1866
0.1849
0.1831
0.1815
0.1798
0.1783
0.1767
0.1753
0.1738
0.1723
0.1709
0.1696
0.1683
0.1670
0.1657
0.1645
0.1633
0.1621
0.1609
0.1598
0.1587
0.1576
0.1565
0.1555
0.1544
0.1534
0.1525
0.1515
0.1506
0.1496
0.2320
0.2293
0.2267
0.2241
0.2217
0.2193
0.2170
0.2148
0.2126
0.2106
0.2085
0.2065
0.2046
0.2028
0.2010
0.1992
0.1975
0.1958
0.1941
0.1926
0.1910
0.1895
0.1880
0.1866
0.1851
0.1838
0.1824
0.1811
0.1798
0.1785
0.1773
0.1761
0.1749
0.1737
0.1726
0.1714
0.1703
0.1693
0.1682
0.1672
0.2489
0.2460
0.2431
0.2404
0.2378
0.2353
0.2328
0.2304
0.2281
0.2259
0.2237
0.2216
0.2195
0.2175
0.2155
0.2137
0.2118
0.2100
0.2082
0.2065
0.2049
0.2033
0.2017
0.2001
0.1986
0.1971
0.1957
0.1942
0.1928
0.1915
0.1901
0.1888
0.1876
0.1863
0.1851
0.1839
0.1827
0.1816
0.1805
0.1793
615
Statistics and
Data
Analysis in Geology
Table
A.7.
Concluded.
Significance,
LX,
for
One-tailed Test
Significance,
a,
for
Two-tailed Test
0.1 0.05 0.02
5
0.05 0.02 0.01
0.2 0.1 0.05
0.02
5
0.01 0.005
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
0.0980
0.0974
0.0968
0.0962
0.0957
0.0951
0.0946
0.0941
0.093
5
0.0930
0.092
5
0.0920
0.091
5
0.091
1
0.0906
0.0901
0.0897
0.0892
0.0888
0.0883
0.1175
0.1168
0.1161
0.1154
O.Il47
0.1141
0.1134
0.1128
0.1121
0.1115
0.1109
0.1103
0.1097
0.1092
0.1086
0.1081
0.1075
0.1069
0.1064
0.1059
0.1340
0.1332
0.1324
0.1316
0.1309
0.1301
0.1294
0.1287
0.1279
0.1272
0.1265
0.1259
0.1252
0.1245
0.1239
0.1233
0.1226
0.1220
0.1214
0.1208
0.1487
0.1478
0.1470
0.1461
0.1452
0.1444
0.1436
0.1428
0.1420
0.1412
0.1404
0.1397
0.1390
0.1382
0.1375
0.1368
0.1361
0.1354
0.1347
0.1341
0.1662
0.1652
0.1642
0.1632
0.1623
0.1613
0.1604
0.1595
0.1586
0.1578
0.1569
0.1561
0.1552
0.1544
0.1536
0.1528
0.1520
0.1513
0.1505
0.1498
0.1782
0.1772
0.1761
0.1751
0.1741
0.1730
0.1721
0.1711
0.1702
0.1692
0.1683
0.1674
0.1665
0.1656
0.1648
0.1639
0.1631
0.1623
0.1614
0.1607
616
Appendix
Table
A.8.
Critical values of the Lilliefors
test
statistic,
T,
for testing goodness-of-fit to
a
normal distribution.
Level
of
Significance,
a
.20
.15
.10 .05 .01
Sample
size,
n=
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
25
30
>30
.300
,285
.265
.247
.233
.223
.215
.206
.199
,190
.183
.177
.173
.169
.166
.163
.160
.142
.131
fi
.736
-
.319
.299
.277
,258
,244
.233
,224
.217
.212
.202
.194
.187
,182
.177
.173
.169
,166
,147
.136
fi
.768
-
.352
.315
.294
.276
.261
.249
,239
.230
,223
.214
.207
.201
.195
.189
.184
.179
.174
.158
.144
fi
A05
.381 .417
.337 .405
.319 .364
.300 .348
.285
.331
.271 .311
.258
.294
.249 ,284
.242 .275
.234 .268
.227 .261
.220 .257
.213 .250
.206 ,245
.200 .239
.195 .235
.190 .231
.173 .200
.161 .187
fi fi
.886
-
1.031
-
617
Statistics and Data Analysis, in Geology
Table
A.9.
Maximum likelihood estimates
of
the concentration parameter
K
for calculated values of
a
(adapted from Batschelet,
1965;
and Gumbel, Greenwood, and Durand,
1953).
-
i?
K
i?
K
R
K
0.00 0.00000
.01 .02000
.02 .04001
.03 .06003
.04 .08006
.05
.lo013
.06 .12022
.07 .14034
.08 .16051
.09 .18073
.10 .20101
.ll
.22134
.12
.24175
.13 .26223
.14 .28279
.15
.30344
.16 ,32419
.17 .34503
.18
.36599
.19 .38707
.20 .40828
.21
.42962
.22
.45110
.23 .47273
.24 .49453
25
.51649
.26 .53863
.27 .56097
.28 .58350
29 .60625
.30 .62922
.31 .65242
.32 .67587
.33 .69958
.34 .72356
0.35
.36
.37
-38
.39
.40
.4
1
.42
.43
.44
.4
5
.46
.4 7
.48
.49
.so
.51
.52
.53
.54
.55
.56
.57
.58
.59
.60
-61
.62
.63
-64
.65
.66
.67
.68
.69
0.74783
.77241
.79730
.82253
.84812
.87408
.go043
.92720
.95440
,98207
1.01022
1.03889
1.068 10
1.09788
1.12828
1.15932
1.19105
1.22350
1.25672
1.29077
1.32570
1.36156
1.39842
1.43635
1.47543
1.51574
1.55738
1.60044
1.64 506
1.69134
1.73945
1.7895 3
1.841 77
1.89637
1.95357
0.70
.71
-72
.73
-74
.75
-76
-77
.78
.79
.80
.81
.82
.83
.84
.85
.86
.87
.88
.89
.90
.91
-92
.93
.94
.95
.96
.97
.98
.99
1.00
2.01363
2.07685
2.14359
2.21425
2.28930
2.36930
2.45490
2.54686
2.64613
2.75382
2.87129
3.00020
3.14262
3.30114
3.47901
3.68041
3.91072
4.17703
4.48876
4.85871
5.3047
5.8522
6.5394
7.4257
8.6104
10.2716
12.766
1
16.9266
25.2522
50.2421
CQ
618
Appendix
Table
A.10.
Critical values of for Rayleigh's test for the presence
of
a
preferred trend. From Mardia
(1972).
Level
of
Significance,
a
.10
.05
,025
.01
~~ ~
Sample size,
n=
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
30
35
40
45
50
0.768
.677
.618
.572
.535
.504
.4 78
.456
.437
.420
.405
.391
.379
.367
.357
.348
.339
.331
.323
,316
,309
.303
.277
.256
.240
.226
.214
0.847
.754
.690
.642
.602
.569
.540
.516
.494
.475
.458
.443
.429
.417
.405
.394
.385
.375
.367
.359
.351
.344
.315
.292
.273
.257
.244
0.905
.816
.753
,702
,660
.624
,594
.567
,544
.524
.SO5
.489
.474
.460
,447
.436
.425
,415
.405
,397
.389
.381
.348
.323
,302
.285
.270
0.960
.879
.825
.771
.725
.687
.655
.62 7
.602
.580
.560
.542
.525
.510
.496
.484
.472
.461
.451
.44
1
.432
.423
.387
.359
.336
.318
.301
619
Statistics
and
Data Analysis
in
Geology
Table
A.11.
Critical values
of
for
the test
of
uniformity
of
a
spherical distribution.
Level
of
Significance,
a
.10 .05 .02
.o
1
Sample size,
n=
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
30
35
40
45
50
100
0.637
.583
.541
.SO6
.478
.454
.433
.415
.398
.384
.371
.359
.349
.339
.330
.322
.314
.307
.300
.294
.288
.26
.24
.23
.22
.20
.14
0.700
.642
.597
,560
.529
.SO3
.480
.460
.442
.427
.413
.400
.388
.377
,367
.358
.350
.342
.334
.328
.321
.29
.27
.26
.24
.23
.16
0.765
.707
.659
.619
.586
.558
.533
.512
.492
.475
.460
,446
.443
.42
1
.410
.399
.390
.382
.374
,366
.359
.33
.31
.29
.27
.26
.18
0.805
.747
.698
.658
.624
.594
,568
.546
.526
.507
.491
.4 76
,463
,450
.438
.428
,418
.408
.400
.392
.384
.36
.33
.3
1
.29
.28
.19
620
This page has been reformatted by Knovel to provide easier navigation.
INDEX
Index Terms Links
A
Aberfan, Wales (UK) 284
ABOC.TXT 401
accuracy 26
added terms (curvilinear regression) 210
additive rule of probability 21
A.E.C. (Atomic Energy Commission) 154
aerial photograph 445 593
Africa 400
aggregated pattern of points 299
agricultural runoff 589
Agua Caliente Formation (Precambrian) 116
AGUACAL.TXT 116
airborne magnetometer survey 590
airborne radiometric measurement 570
Al
2
O
3
590
Alabama (USA) 285 444
Alaska (USA) 204
Alberta Basin (Canada) 371 403
aliasing 274 365
Allen’s Creek, Indiana (USA) 284
alluvial fill 485
alluvial pediment 446
alternative hypothesis 61
ammonoid 502 505
amphibolite 288
amplitude 267 362
analcime 592
“analysis of associations” 552