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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_grangercausality.wasp
Title produced by softwareBivariate Granger Causality
Date of computationFri, 29 May 2020 22:05:23 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2020/May/29/t1590782928nhv9j2ngp4am3mz.htm/, Retrieved Fri, 19 Apr 2024 06:06:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319168, Retrieved Fri, 19 Apr 2024 06:06:54 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsUSDINR to BSE, USDINR, BSE, Foreign Exchange, Forex Change
Estimated Impact104
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Bivariate Granger Causality] [USD INR to BSE In...] [2020-05-29 20:05:23] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
44.395
44.395
44.325
44.075
44.205
44.08
44.38
44.525
44.275
44.525
44.385
44.275
44.38
44.455
44.49
44.335
44.31
44.255
44.28
44.48
44.36
44.765
44.73
44.69
44.745
44.6
44.988
44.865
45.155
45.12
45.065
44.975
44.95
45.23
45.215
45.325
45.305
45.18
45.085
45.06
44.845
44.825
44.83
44.755
44.675
44.705
44.735
44.73
44.865
44.746
44.77
44.905
44.8
45
44.845
44.895
44.955
44.995
45.035
45.04
44.865
44.7
44.63
44.43
44.43
44.48
44.28
44.38
44.485
44.705
44.525
44.505
44.515
44.57
44.495
44.45
44.405
44.35
44.4
44.18
44.085
44.08
44.21
44.07
44.24
44.315
44.545
44.72
44.97
45.21
45.255
45.415
45.4
45.385
45.41
45.745
45.67
45.57
45.625
45.995
46.045
46.16
46.055
46.09
45.785
45.992
46.115
46.165
46.19
46.49
47.225
47.595
47.645
47.57
47.33
47.81
48.055
48.33
49.575
49.35
49.45
48.915
49.095
48.975
49.02
49.155
49.405
49.345
49.04
48.975
49.34
48.955
49.125
49.02
48.955
49.295
49.16
49.807
49.85
49.825
49.505
49.505
48.62
48.695
49.275
49.185
49.145
49
49.31
50.06
50.005
50.405
50.63
50.75
50.955
51.235
52.065
52.49
52.24
52.07
52.14
51.96
51.91
52.13
51.37
51.11
51.26
51.63
51.71
51.875
52.605
53.1
53.61
53.52
52.5
52.7
52.77
52.4
52.565
52.79
52.72
52.92
52.89
53.005
53.015
53.305
53.1
52.86
52.87
52.68
52.4
51.6
51.785
51.52
51.44
51.365
50.8
50.31
50.15
50.23
49.97
50.005
50.01
49.43
49.395
49.6
49.515
49.14
49.035
48.61
49.06
49.125
49.075
49.445
49.36
49.15
49.49
49.385
49.29
49.325
49.225
49.17
49.1
49.015
49.17
48.97
49.11
49.23
49.525
49.83
50.365
50.28
50.08
49.76
49.975
49.855
49.93
50.295
50.14
50.175
50.535
50.635
51.295
51.175
51.03
50.67
50.78
51.345
50.875
50.8
50.56
51.05
51.195
51.485
51.465
51.235
51.55
51.615
51.395
51.73
52.085
52.075
52.385
52.59
52.46
52.41
52.545
52.665
52.505
52.985
53.335
53.475
52.845
53.125
53.755
53.26
53.635
53.925
53.795
54.345
54.36
54.425
54.98
55.345
55.96
55.56
55.375
55.19
55.62
56.14
56.04
55.545
55.655
55.55
55.27
54.965
55.425
55.7
55.805
55.57
55.71
55.395
55.83
55.885
56.15
56.26
57.125
56.965
56.965
56.89
56.825
55.51
55.39
54.22
54.545
54.965
55.41
55.85
55.395
55.53
55.84
55.145
55.055
55.04
55.32
55.175
55.325
55.93
56.18
56.025
55.5
55.255
55.44
55.56
55.475
55.845
55.755
55.525
55.07
55.285
55.18
55.285
55.345
55.61
55.625
55.735
55.31
55.5
55.265
55.505
55.695
55.665
55.705
55.635
55.525
55.535
55.615
55.91
55.665
55.365
55.445
55.255
55.215
55.345
54.305
53.885
53.905
54.265
53.365
53.44
53.365
53.585
52.93
52.855
52.38
52.24
51.745
51.915
52.545
52.695
53.025
52.665
52.81
52.985
52.825
52.865
53.595
53.845
53.56
53.725
53.555
53.555
54.085
53.965
53.805
53.66
53.815
54.595
54.425
54.205
54.365
54.595
54.885
55.015
54.655
55.165
54.975
55.105
55.115
55.125
55.45
55.643
55.455
55.71
54.72
54.265
54.775
54.435
54.235
54.345
54.355
54.265
54.145
54.515
54.445
54.855
54.935
54.685
54.875
55.065
54.955
54.845
54.935
54.76
54.995
54.685
54.24
54.505
54.94
55.225
54.965
54.81
54.425
54.875
54.525
54.605
54.665
54.355
53.745
53.775
53.725
53.675
53.71
53.8
54.055
53.655
53.245
53.275
53.17
53.29
53.035
53.16
53.225
53.595
53.965
53.795
53.825
53.995
54.325
54.265
54.13
54.075
54.475
54.28
54
54.1
53.865
54.37
54.905
54.96
54.955
54.81
54.46
54.35
54.34
54.15
54.37
54.185
54.03
54.08
54.5
54.33
54.45
54.35
54.3
54.48
54.285
54.17
54.43
54.53
54.89
54.81
54.61
54.48
54.42
54.305
54.52
54.55
53.97
54.18
54.03
54.21
54.31
54.105
54.38
54.195
53.685
53.835
53.81
54.135
54.065
54.085
54.365
54.81
54.835
54.805
54.785
54.785
54.895
55.04
55.435
55.66
55.715
55.82
55.573
56.115
56.305
56.385
56.58
56.675
56.495
56.855
56.93
57.065
58.155
58.34
57.835
58.005
57.505
58.11
58.845
58.72
59.575
59.275
59.815
59.665
60.72
60.195
59.533
59.385
59.555
60.226
60.075
60.23
60.695
60.102
59.895
59.834
59.891
59.815
59.3
59.33
59.745
59.34
59.725
59.76
59.255
58.965
59.046
59.555
60.815
60.855
60.565
61.105
60.86
60.79
61.21
60.731
61.125
61.337
61.284
61.665
63.14
63.125
64.115
64.555
63.205
64.3
66.31
68.805
66.555
65.705
66.005
67.635
67.07
66.015
65.245
63.845
63.275
63.43
63.38
62.835
63.375
63.385
61.775
62.235
62.605
62.79
62.445
62.075
62.515
62.59
62.46
61.735
61.435
61.795
61.955
61.88
61.36
61.02
61.555
61.84
61.14
61.24
61.58
61.655
61.63
61.47
61.465
61.445
61.43
61.26
61.624
61.75
61.75
61.635
62.4
62.42
62.48
63.245
63.72
63.31
63.12
62.42
62.37
62.58
62.94
62.733
62.51
62.51
62.15
62.282
62.399
62.325
62.37
62.06
61.763
61.435
61.14
61.05
61.255
61.82
62.195
61.74
62.02
62.1
62.15
62
61.963
61.755
62.17
61.94
61.92
61.81
61.91
62.27
62.19
62.315
62.305
62.165
62.095
61.907
61.525
61.49
61.58
61.54
61.545
61.625
61.885
61.82
61.933
62.695
63.105
62.575
62.475
62.565
62.685
62.565
62.53
62.6
62.38
62.305
62.455
62.225
62.095
62.425
61.855
61.845
62.18
62.24
62.24
62.14
62.075
61.985
61.985
61.795
62.045
61.905
61.755
61.115
61.085
60.845
60.945
61.22
61.175
61.205
61.115
60.975
61.34
60.9
60.78
60.485
60.145
60.245
59.89
60.015
60.015
59.905
60.17
60.085
60.115
60.145
60.075
60.18
60.235
60.375
60.295
60.595
60.765
61.095
60.645
60.65
60.425
60.345
60.185
60.24
59.985
60.025
59.9
59.965
60.055
59.465
59.485
59.465
58.585
58.375
58.59
58.695
58.285
58.525
58.715
59.045
58.945
58.92
59.195
59.155
59.34
59.28
59.26
59.175
59.205
59.215
59.34
59.295
59.71
60.185
60.33
60.3
60.095
60.175
60.16
60.16
60.085
60.21
60.045
60.06
60.06
59.692
59.74
59.725
59.955
59.755
59.765
60.195
60.095
60.125
60.125
60.125
60.185
60.285
60.245
60.105
60.02
60.125
60.06
60.09
60.065
60.555
61.215
60.945
60.85
61.5
61.245
61.145
61.175
61.085
61.095
60.765
60.78
60.675
60.615
60.675
60.47
60.57
60.435
60.455
60.5
60.53
60.685
60.49
60.36
60.395
60.275
60.605
60.93
60.93
60.655
61.105
61.06
60.915
60.74
60.86
60.945
61.055
60.945
61.335
61.145
61.56
61.94
61.725
61.305
61.36
61.055
61.285
61.01
61.4
61.84
61.365
61.235
61.15
61.2
61.17
61.188
61.29
61.44
61.405
61.42
61.435
61.52
61.485
61.515
61.375
61.6
61.715
61.83
61.725
61.945
61.93
61.767
61.86
61.865
61.795
61.86
62.21
61.955
61.795
61.863
61.79
61.918
61.825
61.88
62.115
62.48
62.525
63.175
63.66
63.525
62.99
63.245
63.23
63.44
63.52
63.562
63.67
63.385
63.035
63.355
63.285
63.345
63.575
63.28
62.675
62.355
62.075
61.98
62.095
62.065
61.87
61.645
61.655
61.56
61.605
61.44
61.41
61.358
61.801
62.02
61.719
61.596
61.842
61.709
61.97
62.149
62.327
62.382
62.15
62.076
62.105
62.057
62.138
62.109
62.163
62.17
61.862
61.731
61.659
61.862
61.819
62.309
62.381
62.46
62.634
62.72
62.781
62.542
63.083
62.78
62.623
62.701
62.49
62.41
62.23
62.348
62.412
62.836
62.523
62.51
62.291
62.142
62.207
62.296
62.192
62.306
62.276
62.407
62.36
62.317
62.55
63.137
62.854
62.98
63.277
63.662
63.346
63.053
63.46
63.529
63.516
63.369
63.621
64.073
63.711
64.007
64.147
64.013
63.383
63.44
63.708
63.763
63.598
63.58
63.49
63.496
63.972
63.826
63.763
63.743
63.594
63.689
63.997
63.964
63.77
63.947
64.01
63.766
63.959
64.1
64.085
64.166
64.011
63.577
63.5
63.523
63.607
63.526
63.518
63.452
63.707
63.604
63.55
63.299
63.411
63.264
63.476
63.459
63.318
63.358
63.45
63.281
63.507
63.463
63.492
63.6
63.583
63.571
63.921
64.106
64.202
63.799
63.821
64.138
63.988
64.177
63.798
63.692
63.722
63.739
63.773
64.332
64.855
65.203
65.129
65.436
65.454
65.109
65.433
66.034
66.814
66.28
66.004
65.968
66.15
66.412
66.383
66.202
66.1
66.685
66.886
66.294
66.619
66.299
66.241
66.261
66.447
66.219
65.868
65.691
65.91
66.184
66.11
66.267
65.837
65.517
65.631
65.134
65.129
64.907
64.819
64.78
64.795
65.098
64.736
64.779
64.703
64.919
65.024
65.146
64.892
64.921
65.112
64.954
65.449
65.423
65.561
65.569
65.609
65.86
66.14
66.475
66.2
66.07
66.059
65.886
65.981
66.033
66.09
66.058
66.395
66.262
66.565
66.907
66.462
66.434
66.591
66.79
66.643
66.773
66.857
66.855
66.756
67.148
67.093
66.863
66.476
66.421
66.255
66.251
66.244
66.037
65.947
66.137
66.235
66.475
66.208
66.235
66.579
66.481
66.698
66.891
66.847
66.76
66.946
66.917
67.316
67.775
67.661
67.734
67.958
67.799
67.549
67.755
68.144
68.053
67.878
67.835
67.975
67.934
67.544
67.81
68.034
67.901
67.861
68.471
68.118
68.131
68.474
68.329
68.542
68.545
68.533
68.561
68.431
68.768
68.737
68.208
67.753
67.395
67.122
66.938
67.313
67.128
67.302
66.921
67.138
67.372
67.173
66.619
66.384
66.5
66.755
66.93
66.608
66.375
66.375
66.255
66.365
66.106
66.422
66.517
66.757
66.551
66.287
66.283
66.496
66.416
66.166
66.489
66.66
66.685
66.404
66.362
66.401
66.425
66.346
66.558
66.627
66.558
66.6
66.752
66.631
66.561
66.757
66.855
66.844
66.825
67.14
67.436
67.408
67.409
67.63
67.273
66.927
67.031
67.171
67.209
67.434
67.268
67
66.79
66.658
66.5
66.753
66.952
67.187
67.292
67.079
67.315
67.074
67.551
67.624
67.449
67.279
67.885
67.914
67.715
67.422
67.504
67.19
67.265
67.434
67.495
67.139
67.138
66.975
67.016
66.843
67.141
67.137
67.204
67.163
67.153
67.154
67.412
67.321
67.072
67.014
66.655
66.764
66.682
66.767
66.84
66.842
66.81
66.774
66.765
66.75
66.908
66.87
66.893
66.83
67.137
67.202
67.122
67.167
67.016
67.136
67.113
67.144
66.973
66.801
66.795
66.28
66.478
66.631
66.895
66.738
66.798
66.86
67.075
66.98
66.985
66.744
66.633
66.707
66.613
66.425
66.349
66.812
66.556
66.546
66.609
66.572
66.697
66.602
66.492
66.794
66.717
66.789
66.733
66.645
66.83
66.926
66.845
66.806
66.863
66.881
66.778
66.686
66.696
66.762
66.668
66.796
66.745
66.246
66.515
66.865
67.565
67.786
67.999
68.023
68.191
68.228
68.396
68.784
68.761
68.519
68.579
68.615
68.598
68.236
68.031
68.025
67.742
67.438
67.546
67.47
67.431
67.411
67.475
67.857
67.855
67.844
67.917
67.837
67.848
67.837
67.76
67.978
68.233
67.935
67.955
68.145
68.26
67.886
67.743
68.115
68.1
68.327
68.312
68.141
68.18
68.103
67.862
68.22
68.1
68.075
68.051
68.138
67.988
68.105
67.829
67.515
67.415
67.21
67.184
67.195
67.35
67.05
66.765
66.854
66.975
66.835
66.875
67.08
67.08
66.905
66.985
66.95
66.69
66.7
66.725
66.865
66.785
66.78
66.675
66.625
66.765
66.69
66.555
65.775
65.63
65.385
65.475
65.345
65.345
65.455
65.455
65.425
64.995
65.045
64.875
64.86
64.86
64.985
64.875
64.606
64.27
64.605
64.555
64.69
64.445
64.48
64.605
64.665
64.62
64.65
64.49
64.33
64.13
64.115
64.29
64.165
64.165
64.215
64.315
64.36
64.68
64.615
64.405
64.243
64.065
64.045
64.13
64.88
64.565
64.51
64.895
64.77
64.555
64.51
64.54
64.635
64.51
64.478
64.415
64.35
64.43
64.435
64.25
64.245
64.48
64.345
64.235
64.565
64.465
64.495
64.54
64.53
64.605
64.505
64.475
64.525
64.66
64.62
64.845
64.79
64.8
64.725
64.625
64.475
64.565
64.475
64.46
64.424
64.345
64.316
64.27
64.375
64.385
64.395
64.385
64.355
64.125
64.115
64.2
64.095
63.635
63.705
63.675
63.84
63.692
63.86
64.095
64.14
64.09
64.17
64.17
64.095
64.11
64.072
64.045
64.045
63.905
64.015
63.99
63.935
64.025
64.04
64.105
64.06
64.015
63.785
63.935
64.031
64.01
64.123
64.11
64.158
64.3
64.293
64.81
64.795
65.127
65.46
65.715
65.47
65.31
65.485
65.03
65.145
65.4
65.355
65.25
65.16
65.06
64.7
64.7
65.03
65.055
64.995
65.023
65.09
64.925
64.84
65.04
64.86
64.75
64.565
64.575
64.56
64.625
65.06
64.92
64.975
65.19
65.44
65.41
65.27
65.295
65.015
65.1
64.88
64.88
64.57
64.68
64.477
64.41
64.36
64.49
64.52
64.38
64.36
64.53
64.57
64.48
64.355
64.41
64.46
64.34
64.08
64.21
64.06
64.115
64.02
64.02
64.05
64.12
64.08
63.84
63.68
63.46
63.505
63.4
63.34
63.475
63.67
63.63
63.69
63.61
63.515
64.02
63.885
63.87
63.83
63.89
63.76
63.66
63.515
63.6
63.69
63.55
63.98
64.13
64.14
64.23
64.28
64.3
64.375
64.28
64.1
63.9
64.215
64.25
64.86
64.805
64.975
64.71
64.77
64.92
65.21
65.23
65.025
64.905
64.88
65.105
65.125
64.985
64.855
64.84
64.99
64.99
65.22
65.21
65.18
65.105
64.99
64.825
64.945
65.16
65.13
65
65.045
64.89
64.93
64.955
64.95
65.26
65.29
65.255
65.47
65.68
65.72
65.87
66.21
66.53
66.41
66.92
66.805
66.62
66.46
66.69
66.67
66.82
67.14
67.13
67.35
67.245
67.36
67.56
68.08
67.775
67.765
67.99
68.115
68.02
68.37
68.34
67.73
67.4
67.84
67.44
67.43
66.995
67.07
67.1
66.84
67.42
67.53
67.47
67.48
67.645
67.69
68.06
68.04
68.31
68.06
67.945
67.87
68.115
68.37
68.64
68.84
68.46
68.72
68.55
68.69
68.88
68.805
68.66
68.755
68.73
68.52
68.5
68.55
68.43
68.625
69.02
68.74
68.845
68.947
68.73
68.66
68.605
68.605
68.46
68.35
68.625
68.545
68.83
68.63
68.66
68.76
68.89
70.02
69.96
70.09
70.1
69.82
69.86
70.105
69.97
70.165
70.1
70.535
70.745
71.005
71.215
71.585
71.755
71.95
71.79
72.455
72.64
72.16
71.88
72.54
72.71
72.36
72.24
72.67
72.685
72.6
72.57
72.51
72.925
73.345
73.63
73.77
74.065
74.34
74.25
74.05
73.61
73.77
73.465
73.6
73.375
73.56
73.55
73.23
73.23
73.46
73.4
73.68
73.96
73.455
72.44
73.08
72.955
72.45
72.48
72.86
72.615
72.31
71.915
71.98
71.61
71.43
71.305
70.69
70.82
70.785
70.64
69.78
69.65
70.44
70.53
70.56
70.85
70.86
72.52
72.291
71.84
71.53
71.92
71.61
70.62
70.279
69.98
70.14
70.105
70.07
70.361
69.933
69.57
69.453
70
70.11
69.55
69.803
70.14
70.56
70.42
70.399
70.76
71.1
70.98
71.05
71.21
71.188
71.26
71.19
71
70.9
71.07
71.39
71.235
70.96
71.435
71.71
71.53
71.55
71.3
71.175
71.14
70.535
70.875
71.02
71.33
71.387
71.3
71.01
71.165
71.035
70.834
70.96
71.2
70.84
71
70.49
70.08
70.116
70.012
69.85
69.625
69.529
69.365
68.963
68.625
69.015
68.79
69.17
68.89
68.996
69.1
69.19
69.185
69.205
68.92
68.45
68.98
69.17
69.555
69.28
69.15
69.02
69.19
69.395
69.53
69.395
69.7
69.77
69.96
70.17
69.85
69.647
69.41
69.095
69.38
69.645
69.72
70.2
70.015
70.57
70.332
70.249
70.13
70.28
69.609
69.645
69.65
69.665
69.38
69.504
69.61
69.845
69.825
69.58
69.171
69.291
69.165
69.355
69.535
69.385
69.375
69.53
69.833
69.85
69.61
69.65
69.52
69.615
69.273
69.334
69.245
69.088
68.95
68.885
68.89
68.8
68.527
68.45
68.566
68.565
68.419
68.41
68.56
68.545
68.65
68.846
68.855
68.86
68.93
69.033
68.98
69.041
68.88
68.755
68.862
68.875
69.017
69.7
70.821
71.04
71.145
70.42
70.924
71.418
71.275
71.155
71.451
71.549
71.439
71.93
71.513
72.025
71.543
71.829
71.69
71.453
72.17
71.989
71.928
71.645
71.778
71.577
70.967
70.985
71.58
71.49
71.145
71.375
71.075
70.799
70.971
70.988
70.964
70.509
70.645
71.11
71.03
70.825
70.975
71.12
70.99
70.924
71.237
71.5
71.364
71.13
71.09
70.809
70.725
70.965
70.82
70.745
70.89
70.953
70.98
70.76
70.789
70.775
71.01
71.047
71.36
71.57
72.15
71.966
71.65
71.945
71.83
71.746
71.75
71.792
71.689
71.48
71.26
71.505
71.749
71.634
71.74
71.474
71.252
71.283
70.97
70.81
70.71
70.57
70.798
70.915
71.035
71
71.18
71.06
71.22
71.28
71.3
71.455
71.32
71.355
71.228
71.35
71.77
71.867
71.845
71.51
71.21
70.96
70.71
70.85
70.72
70.978
71.079
71.04
71.17
71.08
71.4
71.33
71.45
71.2
71.31
71.55
71.555
71.324
71.115
71.19
71.225
71.515
71.29
71.285
71.306
71.33
71.528
71.34
71.585
71.6
71.68
71.88
71.935
71.82
71.58
71.655
72.539
72.882
73.05
73.54
73.507
74.004
74.195
73.682
74.576
73.84
74.003
74.062
74.55
74.786
75.398
76.335
76.379
76.375
74.89
75.472
75.41
Dataseries Y:
19420.39
19701.73
19686.82
19612.2
19591.18
19451.45
19262.54
19696.86
19386.82
19091.17
19121.83
19470.98
19602.23
19584.31
19545.35
19448.69
19292.02
19135.96
18998.02
18534.69
18469.36
18210.58
18518.81
18528.96
18512.77
18584.96
18335.79
18531.28
18345.03
18137.35
18086.2
18141.4
18326.09
17993.33
18011.97
17847.24
18044.64
18266.1
18232.06
18503.28
18608.81
18494.18
18376.48
18420.11
18495.62
18394.29
18384.9
18268.54
18266.03
18308.66
18132.24
17985.88
17870.53
17506.63
17560.3
17550.63
17727.49
18240.68
18412.41
18492.45
18693.86
18845.87
18762.8
18814.48
18744.56
18726.97
19078.3
18858.04
18721.39
18411.62
18596.02
18618.2
18561.92
18507.04
18653.87
18502.38
18436.19
18722.3
18871.29
18518.22
18432.25
18209.52
18197.2
18314.33
18109.89
17940.55
17693.18
17305.87
16990.18
16857.91
17130.51
17059.4
16839.63
16730.94
16840.8
16469.79
16141.67
16341.7
16498.47
16284.98
16146.33
15848.83
16416.33
16676.75
16821.46
16713.33
16862.81
17065
17165.54
16866.97
16501.74
16467.44
16709.6
16876.54
16933.83
16745.35
17099.28
17065.15
16361.15
16162.06
16051.1
16524.03
16446.02
16698.07
16453.76
16151.45
15864.86
15792.41
16232.54
16557.23
16536.47
16958.39
16883.92
17082.69
17025.09
16748.29
17085.34
16936.89
16785.64
16939.28
17254.86
17288.83
17804.8
17705.01
17480.83
17464.85
17481.93
17562.61
17569.53
17362.1
17192.82
17118.74
16882.67
16775.87
16461.71
16371.51
15946.1
16065.42
15699.97
15858.49
15695.43
16167.13
16008.34
16123.46
16483.45
16846.83
16805.33
16877.06
16488.24
16213.46
15870.35
16002.51
15881.14
15836.47
15491.35
15379.34
15175.08
15685.21
15813.36
15738.7
15970.75
15873.95
15727.85
15543.93
15454.92
15517.92
15939.36
15882.64
15857.08
15867.73
15848.8
15814.72
16165.09
16175.86
16037.51
16154.62
16189.36
16466.05
16451.47
16643.74
16739.01
16751.73
16995.77
17077.18
17233.98
16863.3
17193.55
17300.58
17431.85
17604.96
17707.31
17622.45
17707.32
17830.75
17748.69
17772.84
17848.57
18202.41
18153.99
18289.35
18428.61
18145.25
18078.5
17923.57
17445.75
17731.12
17752.68
17583.97
17636.8
17636.99
17362.87
17173.29
17145.52
17503.24
17587.67
17813.62
17919.3
17675.85
17466.2
17273.37
17316.18
17601.71
17196.47
17361.74
17052.78
17257.36
17121.62
17058.61
17404.2
17478.15
17597.42
17486.02
17222.14
17243.84
17199.4
17332.62
17094.51
17150.95
17357.94
17392.39
17503.71
17373.84
17096.68
17207.29
17151.29
17130.67
17134.25
17187.34
17318.81
17301.91
17151.19
16831.08
16912.71
16546.18
16479.58
16420.05
16292.98
16215.84
16328.25
16030.09
16070.48
16152.75
16183.26
16026.41
15948.1
16222.3
16217.82
16416.84
16438.58
16312.15
16218.53
15965.16
15988.4
16020.64
16454.3
16649.05
16718.87
16668.01
16862.8
16880.51
16677.88
16949.83
16705.83
16859.8
16896.63
17032.56
16972.51
16882.16
16906.58
16967.76
16990.76
17429.98
17398.98
17425.71
17462.81
17538.67
17521.12
17391.98
17618.35
17489.14
17232.55
17213.7
17103.31
17105.3
17185.01
17278.85
17158.44
16877.35
16918.08
16846.05
16639.82
16839.19
17143.68
17236.18
17257.38
17224.36
17197.93
17412.96
17601.78
17600.56
17560.87
17557.74
17633.45
17728.2
17657.21
17691.08
17885.26
17846.86
17850.22
17783.21
17678.81
17631.71
17490.81
17541.64
17429.56
17384.4
17440.87
17313.34
17346.27
17683.73
17766.78
17852.95
18000.03
18021.16
18464.27
18542.31
18496.01
18349.25
18752.83
18673.34
18694.41
18632.17
18579.5
18762.74
18823.91
18869.69
19058.15
18938.46
18708.98
18793.36
18631.1
18804.75
18675.18
18713.55
18577.7
18610.77
18791.93
18682.31
18793.44
18710.02
18758.63
18625.34
18635.82
18430.85
18505.38
18561.7
18755.45
18762.87
18817.38
18902.41
18846.26
18683.68
18670.34
18618.87
18471.37
18309.37
18339
18329.32
18460.38
18517.34
18506.57
18537.01
18842.08
19170.91
19339.9
19305.32
19348.12
19391.86
19486.8
19424.1
19409.69
19387.14
19355.26
19229.26
19317.25
19244.42
19364.75
19476
19453.92
19242
19255.09
19417.46
19323.8
19444.84
19426.71
19580.81
19714.24
19764.78
19784.08
19691.42
19742.52
19666.59
19663.55
19663.64
19906.41
19986.82
19817.63
19964.03
20039.04
20101.82
19981.57
20026.61
19923.78
20103.53
20103.35
19990.9
20005
19894.98
19781.19
19751.19
19659.82
19639.72
19580.32
19484.77
19460.57
19561.04
19608.08
19497.18
19468.15
19501.08
19635.72
19642.75
19325.36
19317.01
19331.69
19015.14
19152.41
18861.54
18918.52
18877.96
19143.17
19252.61
19413.54
19683.23
19646.21
19564.92
19362.55
19570.44
19427.56
19293.2
19008.1
18884.19
18792.87
18735.6
18681.42
18704.53
18835.77
18864.75
19040.95
18801.64
18509.7
18450.23
18437.78
18226.48
18414.45
18542.2
18242.56
18357.8
18744.93
18731.16
19016.46
19169.83
19179.36
19406.85
19286.72
19387.5
19504.18
19735.77
19575.64
19673.64
19888.95
19990.18
19939.04
20082.62
19691.67
19722.29
20212.96
20247.33
20286.12
20223.98
20111.61
20062.24
19674.33
19704.33
20030.77
20160.82
20147.64
20215.4
19760.3
19610.48
19545.78
19568.22
19519.49
19429.23
19441.07
19143
19041.13
18827.16
19177.93
19325.87
19223.28
19245.7
18719.29
18774.24
18540.89
18629.15
18552.12
18875.95
19395.81
19577.39
19463.82
19177.76
19410.84
19495.82
19324.77
19439.48
19294.12
19676.06
19958.47
20034.48
19851.23
19948.73
20128.41
20149.85
20159.12
20302.13
20090.68
19804.76
19748.19
19593.28
19348.34
19345.7
19317.19
19164.02
19182.26
18733.04
18664.88
18789.34
18946.98
19229.84
19367.59
18598.18
18307.52
18246.04
17905.91
18312.94
18519.44
18558.13
17968.08
17996.15
18401.04
18619.72
18886.13
18234.66
18567.55
18979.76
19270.06
19997.09
19997.45
19781.88
19732.76
19742.47
19804.03
19962.16
20646.64
20263.71
19900.96
19920.21
19856.24
19893.85
19727.27
19379.77
19517.15
19902.07
19915.95
19895.1
19983.61
20249.26
20272.91
20528.59
20607.54
20547.62
20415.51
20882.89
20893.89
20864.97
20767.88
20725.43
20683.52
20570.28
20929.01
21033.97
21164.52
21196.81
21239.36
20974.79
20894.94
20822.77
20666.15
20490.96
20281.91
20194.4
20399.42
20850.74
20890.82
20635.13
20229.05
20217.39
20605.08
20425.02
20420.26
20534.91
20791.93
20898.01
20854.92
20708.71
20957.81
20996.53
21326.42
21255.26
21171.41
20925.61
20715.58
20659.52
20612.14
20859.86
20708.62
21079.72
21101.03
21032.71
21074.59
21193.58
21143.01
21170.68
21140.48
20888.33
20851.33
20787.3
20693.24
20729.38
20713.37
20758.49
21134.21
21032.88
21289.49
21265.18
21063.62
21205.05
21251.12
21337.67
21373.66
21133.56
20707.45
20683.51
20647.3
20498.25
20513.85
20209.26
20211.93
20261.03
20310.74
20376.56
20334.27
20363.37
20448.49
20193.35
20366.82
20464.06
20634.21
20722.97
20536.64
20700.75
20811.44
20852.47
20986.99
21120.12
20946.65
21209.73
21276.86
21513.87
21919.79
21934.83
21826.42
21856.22
21774.61
21809.8
21832.61
21832.86
21740.09
21753.75
22055.48
22055.21
22095.3
22214.37
22339.97
22386.27
22446.44
22551.49
22509.07
22359.5
22343.45
22702.34
22715.33
22628.96
22484.93
22277.23
22628.84
22764.83
22758.37
22876.54
22688.07
22631.61
22466.19
22417.8
22403.89
22445.12
22508.42
22323.9
22344.04
22994.23
23551
23871.23
23815.12
23905.6
24121.74
24363.05
24376.88
24298.02
24374.4
24693.35
24716.88
24549.51
24556.09
24234.15
24217.34
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41009.71
40938.72
41352.17
41558.57
41673.92
41681.54
41642.66
41461.26
41163.76
41575.14
41558
41253.74
41306.02
41626.64
41464.61
40676.63
40869.47
40817.74
41452.35
41599.72
41859.69
41952.63
41872.73
41932.56
41945.37
41528.91
41323.81
41115.38
41386.4
41613.19
41155.12
40966.86
41198.66
40913.82
40723.49
39735.53
39872.31
40789.38
41142.66
41306.03
41141.85
40979.62
41216.14
41565.9
41459.79
41257.74
41055.69
40894.38
41323
41170.12
40363.23
40281.2
39888.96
39745.66
38297.29
38144.02
38623.7
38409.48
38470.61
37576.62
35634.95
35697.4
32778.14
34103.48
31390.07
30579.09
28869.51
28288.23
29915.96
25981.24
26674.03
28535.78
29946.77
29815.59
28440.32




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319168&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=319168&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319168&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Granger Causality Test: Y = f(X)
ModelRes.DFDiff. DFFp-value
Complete model2219
Reduced model2220-11.294699531238720.255306530022495

\begin{tabular}{lllllllll}
\hline
Granger Causality Test: Y = f(X) \tabularnewline
Model & Res.DF & Diff. DF & F & p-value \tabularnewline
Complete model & 2219 &  &  &  \tabularnewline
Reduced model & 2220 & -1 & 1.29469953123872 & 0.255306530022495 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319168&T=1

[TABLE]
[ROW][C]Granger Causality Test: Y = f(X)[/C][/ROW]
[ROW][C]Model[/C][C]Res.DF[/C][C]Diff. DF[/C][C]F[/C][C]p-value[/C][/ROW]
[ROW][C]Complete model[/C][C]2219[/C][C][/C][C][/C][C][/C][/ROW]
[ROW][C]Reduced model[/C][C]2220[/C][C]-1[/C][C]1.29469953123872[/C][C]0.255306530022495[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319168&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319168&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Granger Causality Test: Y = f(X)
ModelRes.DFDiff. DFFp-value
Complete model2219
Reduced model2220-11.294699531238720.255306530022495







Granger Causality Test: X = f(Y)
ModelRes.DFDiff. DFFp-value
Complete model2219
Reduced model2220-14.729805104165650.0297495399449954

\begin{tabular}{lllllllll}
\hline
Granger Causality Test: X = f(Y) \tabularnewline
Model & Res.DF & Diff. DF & F & p-value \tabularnewline
Complete model & 2219 &  &  &  \tabularnewline
Reduced model & 2220 & -1 & 4.72980510416565 & 0.0297495399449954 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319168&T=2

[TABLE]
[ROW][C]Granger Causality Test: X = f(Y)[/C][/ROW]
[ROW][C]Model[/C][C]Res.DF[/C][C]Diff. DF[/C][C]F[/C][C]p-value[/C][/ROW]
[ROW][C]Complete model[/C][C]2219[/C][C][/C][C][/C][C][/C][/ROW]
[ROW][C]Reduced model[/C][C]2220[/C][C]-1[/C][C]4.72980510416565[/C][C]0.0297495399449954[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319168&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319168&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Granger Causality Test: X = f(Y)
ModelRes.DFDiff. DFFp-value
Complete model2219
Reduced model2220-14.729805104165650.0297495399449954



Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 1 ; par5 = 1 ; par6 = 0 ; par7 = 0 ; par8 = 1 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 1 ; par5 = 1 ; par6 = 0 ; par7 = 0 ; par8 = 1 ;
R code (references can be found in the software module):
library(lmtest)
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
par5 <- as.numeric(par5)
par6 <- as.numeric(par6)
par7 <- as.numeric(par7)
par8 <- as.numeric(par8)
ox <- x
oy <- y
if (par1 == 0) {
x <- log(x)
} else {
x <- (x ^ par1 - 1) / par1
}
if (par5 == 0) {
y <- log(y)
} else {
y <- (y ^ par5 - 1) / par5
}
if (par2 > 0) x <- diff(x,lag=1,difference=par2)
if (par6 > 0) y <- diff(y,lag=1,difference=par6)
if (par3 > 0) x <- diff(x,lag=par4,difference=par3)
if (par7 > 0) y <- diff(y,lag=par4,difference=par7)
print(x)
print(y)
(gyx <- grangertest(y ~ x, order=par8))
(gxy <- grangertest(x ~ y, order=par8))
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
(r <- ccf(ox,oy,main='Cross Correlation Function (raw data)',ylab='CCF',xlab='Lag (k)'))
(r <- ccf(x,y,main='Cross Correlation Function (transformed and differenced)',ylab='CCF',xlab='Lag (k)'))
par(op)
dev.off()
bitmap(file='test2.png')
op <- par(mfrow=c(2,1))
acf(ox,lag.max=round(length(x)/2),main='ACF of x (raw)')
acf(x,lag.max=round(length(x)/2),main='ACF of x (transformed and differenced)')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow=c(2,1))
acf(oy,lag.max=round(length(y)/2),main='ACF of y (raw)')
acf(y,lag.max=round(length(y)/2),main='ACF of y (transformed and differenced)')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Granger Causality Test: Y = f(X)',5,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Model',header=TRUE)
a<-table.element(a,'Res.DF',header=TRUE)
a<-table.element(a,'Diff. DF',header=TRUE)
a<-table.element(a,'F',header=TRUE)
a<-table.element(a,'p-value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Complete model',header=TRUE)
a<-table.element(a,gyx$Res.Df[1])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Reduced model',header=TRUE)
a<-table.element(a,gyx$Res.Df[2])
a<-table.element(a,gyx$Df[2])
a<-table.element(a,gyx$F[2])
a<-table.element(a,gyx$Pr[2])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Granger Causality Test: X = f(Y)',5,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Model',header=TRUE)
a<-table.element(a,'Res.DF',header=TRUE)
a<-table.element(a,'Diff. DF',header=TRUE)
a<-table.element(a,'F',header=TRUE)
a<-table.element(a,'p-value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Complete model',header=TRUE)
a<-table.element(a,gxy$Res.Df[1])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Reduced model',header=TRUE)
a<-table.element(a,gxy$Res.Df[2])
a<-table.element(a,gxy$Df[2])
a<-table.element(a,gxy$F[2])
a<-table.element(a,gxy$Pr[2])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')