Geoscience Reference
In-Depth Information
R_T =
69.5125
Rm_T =
0.8689
We apply the test statistic to the data for
kappa
=4.177 for
Rm_T
=0.8689 (Table
10.2). h e computed value for
F
is
n = length(data_radians_T);
F = (1+3/(8*4.177)) * (((n-2)*(R_1+R_2-R_T))/(n-R_1-R_2))
F =
12.5844
Using the
F
-statistic, we i nd that for 1 and 80-2 degrees of freedom and
ʱ=0.05, the critical value is
finv(0.95,1,78)
ans =
3.9635
Table 10.2
Maximum likelihood estimates of concentration parameter ʺ for calculated mean
resultant length
R
(adapted from Batschelet 1965 and Gumbel et al. 1953).
R
ʺ
R
ʺ
R
ʺ
R
ʺ
0.000
0.000
0.260
0.539
0.520
1.224
0.780
2.646
0.010
0.020
0.270
0.561
0.530
1.257
0.790
2.754
0.020
0.040
0.280
0.584
0.540
1.291
0.800
2.871
0.030
0.060
0.290
0.606
0.550
1.326
0.810
3.000
0.040
0.080
0.300
0.629
0.560
1.362
0.820
3.143
0.050
0.100
0.310
0.652
0.570
1.398
0.830
3.301
0.060
0.120
0.320
0.676
0.580
1.436
0.840
3.479
0.070
0.140
0.330
0.700
0.590
1.475
0.850
3.680
0.080
0.161
0.340
0.724
0.600
1.516
0.860
3.911
0.090
0.181
0.350
0.748
0.610
1.557
0.870
4.177
0.100
0.201
0.360
0.772
0.620
1.600
0.880
4.489
0.110
0.221
0.370
0.797
0.630
1.645
0.890
4.859
0.120
0.242
0.380
0.823
0.640
1.691
0.900
5.305
0.130
0.262
0.390
0.848
0.650
1.740
0.910
5.852
0.140
0.283
0.400
0.874
0.660
1.790
0.920
6.539
0.150
0.303
0.410
0.900
0.670
1.842
0.930
7.426
0.160
0.324
0.420
0.927
0.680
1.896
0.940
8.610
0.170
0.345
0.430
0.954
0.690
1.954
0.950
10.272
0.180
0.366
0.440
0.982
0.700
2.014
0.960
12.766
0.190
0.387
0.450
1.010
0.710
2.077
0.970
16.927
0.200
0.408
0.460
1.039
0.720
2.144
0.980
25.252
0.210
0.430
0.470
1.068
0.730
2.214
0.990
50.242
0.220
0.451
0.480
1.098
0.740
2.289
0.995
100.000
0.230
0.473
0.490
1.128
0.750
2.369
0.999
500.000
0.240
0.495
0.500
1.159
0.760
2.455
1.000
5000.000
0.250
0.516
0.510
1.191
0.770
2.547
