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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_grangercausality.wasp
Title produced by softwareBivariate Granger Causality
Date of computationMon, 07 Dec 2009 09:54:13 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/07/t1260176079j418yj4gg1k9hzn.htm/, Retrieved Sat, 27 Apr 2024 06:41:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64537, Retrieved Sat, 27 Apr 2024 06:41:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact523
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Bivariate Granger Causality] [] [2009-12-07 08:54:13] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]
-    D    [Bivariate Granger Causality] [SHW WS10] [2009-12-08 14:27:00] [253127ae8da904b75450fbd69fe4eb21]
-    D      [Bivariate Granger Causality] [] [2009-12-11 18:53:00] [ba905ddf7cdf9ecb063c35348c4dab2e]
-    D    [Bivariate Granger Causality] [workhop 10] [2009-12-08 14:33:55] [309ee52d0058ff0a6f7eec15e07b2d9f]
-   PD    [Bivariate Granger Causality] [workshop 10] [2009-12-08 14:40:11] [309ee52d0058ff0a6f7eec15e07b2d9f]
-   PD    [Bivariate Granger Causality] [workshop 10] [2009-12-08 14:43:07] [309ee52d0058ff0a6f7eec15e07b2d9f]
-    D    [Bivariate Granger Causality] [K=3] [2009-12-08 16:07:24] [f7fc9270f813d017f9fa5b506fdc7682]
-   P       [Bivariate Granger Causality] [Granger Causality...] [2009-12-18 13:10:25] [8733f8ed033058987ec00f5e71b74854]
-   PD    [Bivariate Granger Causality] [K=11] [2009-12-08 16:18:25] [f7fc9270f813d017f9fa5b506fdc7682]
-    D    [Bivariate Granger Causality] [WS 10 granger cau...] [2009-12-08 16:50:19] [12f02da0296cb21dc23d82ae014a8b71]
-   PD    [Bivariate Granger Causality] [WS 10 Granger Xt-...] [2009-12-08 16:52:54] [83058a88a37d754675a5cd22dab372fc]
- R  D      [Bivariate Granger Causality] [WS 10 Granger Xt-...] [2009-12-08 16:57:17] [83058a88a37d754675a5cd22dab372fc]
- R P         [Bivariate Granger Causality] [WS 10 Granger Xt-...] [2009-12-08 18:41:10] [83058a88a37d754675a5cd22dab372fc]
-   P           [Bivariate Granger Causality] [WS 10 Granger Xt-...] [2009-12-08 19:19:32] [83058a88a37d754675a5cd22dab372fc]
- R               [Bivariate Granger Causality] [WS 10 Granger Xt-...] [2009-12-08 19:54:17] [83058a88a37d754675a5cd22dab372fc]
-   PD    [Bivariate Granger Causality] [WS 9 granger caus...] [2009-12-08 16:54:52] [12f02da0296cb21dc23d82ae014a8b71]
-   PD    [Bivariate Granger Causality] [WS 9 granger caus...] [2009-12-08 16:58:31] [12f02da0296cb21dc23d82ae014a8b71]
- R PD    [Bivariate Granger Causality] [] [2009-12-08 18:31:04] [1e83ffa964db6f7ea6ccc4e7b5acbbff]
-           [Bivariate Granger Causality] [WS 10 deel 1 Biv ...] [2009-12-09 18:52:11] [134dc66689e3d457a82860db6471d419]
-             [Bivariate Granger Causality] [WS 10 Granger Cau...] [2009-12-12 10:56:17] [3425351e86519d261a643e224a0c8ee1]
-    D          [Bivariate Granger Causality] [Workshop 10: Verb...] [2009-12-17 19:12:44] [3cb427d596a5d2eb77fa64560dc91319]
-   PD          [Bivariate Granger Causality] [Workshop 10: Verb...] [2009-12-17 19:24:04] [3cb427d596a5d2eb77fa64560dc91319]
-           [Bivariate Granger Causality] [WS 10: Bivariate ...] [2009-12-10 20:21:10] [f924a0adda9c1905a1ba8f1c751261ff]
-   P         [Bivariate Granger Causality] [Oplossing Granger...] [2009-12-17 09:57:23] [4395c69e961f9a13a0559fd2f0a72538]
-    D      [Bivariate Granger Causality] [bivariate granger...] [2009-12-31 13:33:08] [005293453b571dbccb80b45226e44173]
-   PD      [Bivariate Granger Causality] [bivariate granger...] [2009-12-31 13:35:20] [005293453b571dbccb80b45226e44173]
- R PD    [Bivariate Granger Causality] [] [2009-12-08 18:36:11] [1e83ffa964db6f7ea6ccc4e7b5acbbff]
-           [Bivariate Granger Causality] [WS 10 deel 1 Biv ...] [2009-12-09 19:02:47] [134dc66689e3d457a82860db6471d419]
-             [Bivariate Granger Causality] [WS 10 coffee case] [2009-12-12 11:25:04] [3425351e86519d261a643e224a0c8ee1]
-   P       [Bivariate Granger Causality] [] [2009-12-10 14:51:36] [b7349fb284cae6f1172638396d27b11f]
-           [Bivariate Granger Causality] [WS 10: Bivariate ...] [2009-12-10 20:37:31] [f924a0adda9c1905a1ba8f1c751261ff]
-    D    [Bivariate Granger Causality] [Granger causalite...] [2009-12-08 19:40:43] [d46757a0a8c9b00540ab7e7e0c34bfc4]
- R  D    [Bivariate Granger Causality] [] [2009-12-08 19:42:05] [7369a9baefff1ba9d2171738b4c9faa6]
- R PD    [Bivariate Granger Causality] [] [2009-12-08 20:04:19] [7369a9baefff1ba9d2171738b4c9faa6]
-   P       [Bivariate Granger Causality] [] [2009-12-09 17:59:26] [7369a9baefff1ba9d2171738b4c9faa6]
-   P     [Bivariate Granger Causality] [ws 10 t-1] [2009-12-08 20:08:29] [6e4e01d7eb22a9f33d58ebb35753a195]
-    D    [Bivariate Granger Causality] [ws 10] [2009-12-08 20:40:55] [b5908418e3090fddbd22f5f0f774653d]
- R PD    [Bivariate Granger Causality] [WS10 - Bivariate ...] [2009-12-08 23:10:58] [df6326eec97a6ca984a853b142930499]
- R PD    [Bivariate Granger Causality] [WS10 - Bivariate ...] [2009-12-08 23:10:58] [df6326eec97a6ca984a853b142930499]
-   P       [Bivariate Granger Causality] [WS10 - Bivariate ...] [2009-12-09 12:05:34] [df6326eec97a6ca984a853b142930499]
-   P       [Bivariate Granger Causality] [WS10 - Bivariate ...] [2009-12-09 12:06:40] [df6326eec97a6ca984a853b142930499]
-   P         [Bivariate Granger Causality] [WS10 - Bivariate ...] [2009-12-09 16:30:18] [df6326eec97a6ca984a853b142930499]
-   P         [Bivariate Granger Causality] [WS10 - Bivariate ...] [2009-12-09 16:34:45] [df6326eec97a6ca984a853b142930499]
-   P       [Bivariate Granger Causality] [WS10 - Bivariate ...] [2009-12-09 15:22:02] [df6326eec97a6ca984a853b142930499]
-   PD        [Bivariate Granger Causality] [WS10 - Bivariate ...] [2009-12-09 17:29:17] [df6326eec97a6ca984a853b142930499]
-   PD        [Bivariate Granger Causality] [WS10 - Bivariate ...] [2009-12-09 17:34:24] [df6326eec97a6ca984a853b142930499]
-   PD        [Bivariate Granger Causality] [WS10 - Bivariate ...] [2009-12-09 17:36:23] [df6326eec97a6ca984a853b142930499]
-   PD        [Bivariate Granger Causality] [ws10 - bivariate ...] [2009-12-09 17:39:55] [df6326eec97a6ca984a853b142930499]
-   P       [Bivariate Granger Causality] [WS10 - Bivariate ...] [2009-12-09 15:23:36] [df6326eec97a6ca984a853b142930499]

[Truncated]
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Dataseries X:
87.28
87.28
87.09
86.92
87.59
90.72
90.69
90.3
89.55
88.94
88.41
87.82
87.07
86.82
86.4
86.02
85.66
85.32
85
84.67
83.94
82.83
81.95
81.19
80.48
78.86
69.47
68.77
70.06
73.95
75.8
77.79
81.57
83.07
84.34
85.1
85.25
84.26
83.63
86.44
85.3
84.1
83.36
82.48
81.58
80.47
79.34
82.13
81.69
80.7
79.88
79.16
78.38
77.42
76.47
75.46
74.48
78.27
80.7
79.91
78.75
77.78
81.14
81.08
80.03
78.91
78.01
76.9
75.97
81.93
80.27
78.67
77.42
76.16
74.7
76.39
76.04
74.65
73.29
71.79
74.39
74.91
74.54
73.08
72.75
71.32
70.38
70.35
70.01
69.36
67.77
69.26
69.8
68.38
67.62
68.39
66.95
65.21
66.64
63.45
60.66
62.34
60.32
58.64
60.46
58.59
61.87
61.85
67.44
77.06
91.74
93.15
94.15
93.11
91.51
89.96
88.16
86.98
88.03
86.24
84.65
83.23
81.7
80.25
78.8
77.51
76.2
75.04
74
75.49
77.14
76.15
76.27
78.19
76.49
77.31
76.65
74.99
73.51
72.07
70.59
71.96
76.29
74.86
74.93
71.9
71.01
77.47
75.78
76.6
76.07
74.57
73.02
72.65
73.16
71.53
69.78
67.98
69.96
72.16
70.47
68.86
67.37
65.87
72.16
71.34
69.93
68.44
67.16
66.01
67.25
70.91
69.75
68.59
67.48
66.31
64.81
66.58
65.97
64.7
64.7
60.94
59.08
58.42
57.77
57.11
53.31
49.96
49.4
48.84
48.3
47.74
47.24
46.76
46.29
48.9
49.23
48.53
48.03
54.34
53.79
53.24
52.96
52.17
51.7
58.55
78.2
77.03
76.19
77.15
75.87
95.47
109.67
112.28
112.01
107.93
105.96
105.06
102.98
102.2
105.23
101.85
99.89
96.23
94.76
91.51
91.63
91.54
85.23
87.83
87.38
84.44
85.19
84.03
86.73
102.52
104.45
106.98
107.02
99.26
94.45
113.44
157.33
147.38
171.89
171.95
132.71
126.02
121.18
115.45
110.48
117.85
117.63
124.65
109.59
111.27
99.78
98.21
99.2
97.97
89.55
87.91
93.34
94.42
93.2
90.29
91.46
89.98
88.35
88.41
82.44
79.89
75.69
75.66
84.5
96.73
87.48
82.39
83.48
79.31
78.16
72.77
72.45
68.46
67.62
68.76
70.07
68.55
65.3
58.96
59.17
62.37
66.28
55.62
55.23
55.85
56.75
50.89
53.88
52.95
55.08
53.61
58.78
61.85
55.91
53.32
46.41
44.57
50
50
53.36
46.23
50.45
49.07
45.85
48.45
49.96
46.53
50.51
47.58
48.05
46.84
47.67
49.16
55.54
55.82
58.22
56.19
57.77
63.19
54.76
55.74
62.54
61.39
69.6
79.23
80
93.68
107.63
100.18
97.3
90.45
80.64
80.58
75.82
85.59
89.35
89.42
104.73
95.32
89.27
90.44
86.97
79.98
81.22
87.35
83.64
82.22
94.4
102.18
Dataseries Y:
255
280.2
299.9
339.2
374.2
393.5
389.2
381.7
375.2
369
357.4
352.1
346.5
342.9
340.3
328.3
322.9
314.3
308.9
294
285.6
281.2
280.3
278.8
274.5
270.4
263.4
259.9
258
262.7
284.7
311.3
322.1
327
331.3
333.3
321.4
327
320
314.7
316.7
314.4
321.3
318.2
307.2
301.3
287.5
277.7
274.4
258.8
253.3
251
248.4
249.5
246.1
244.5
243.6
244
240.8
249.8
248
259.4
260.5
260.8
261.3
259.5
256.6
257.9
256.5
254.2
253.3
253.8
255.5
257.1
257.3
253.2
252.8
252
250.7
252.2
250
251
253.4
251.2
255.6
261.1
258.9
259.9
261.2
264.7
267.1
266.4
267.7
268.6
267.5
268.5
268.5
270.5
270.9
270.1
269.3
269.8
270.1
264.9
263.7
264.8
263.7
255.9
276.2
360.1
380.5
373.7
369.8
366.6
359.3
345.8
326.2
324.5
328.1
327.5
324.4
316.5
310.9
301.5
291.7
290.4
287.4
277.7
281.6
288
276
272.9
283
283.3
276.8
284.5
282.7
281.2
287.4
283.1
284
285.5
289.2
292.5
296.4
305.2
303.9
311.5
316.3
316.7
322.5
317.1
309.8
303.8
290.3
293.7
291.7
296.5
289.1
288.5
293.8
297.7
305.4
302.7
302.5
303
294.5
294.1
294.5
297.1
289.4
292.4
287.9
286.6
280.5
272.4
269.2
270.6
267.3
262.5
266.8
268.8
263.1
261.2
266
262.5
265.2
261.3
253.7
249.2
239.1
236.4
235.2
245.2
246.2
247.7
251.4
253.3
254.8
250
249.3
241.5
243.3
248
253
252.9
251.5
251.6
253.5
259.8
334.1
448
445.8
445
448.2
438.2
439.8
423.4
410.8
408.4
406.7
405.9
402.7
405.1
399.6
386.5
381.4
375.2
357.7
359
355
352.7
344.4
343.8
338
339
333.3
334.4
328.3
330.7
330
331.6
351.2
389.4
410.9
442.8
462.8
466.9
461.7
439.2
430.3
416.1
402.5
397.3
403.3
395.9
387.8
378.6
377.1
370.4
362
350.3
348.2
344.6
343.5
342.8
347.6
346.6
349.5
342.1
342
342.8
339.3
348.2
333.7
334.7
354
367.7
363.3
358.4
353.1
343.1
344.6
344.4
333.9
331.7
324.3
321.2
322.4
321.7
320.5
312.8
309.7
315.6
309.7
304.6
302.5
301.5
298.8
291.3
293.6
294.6
285.9
297.6
301.1
293.8
297.7
292.9
292.1
287.2
288.2
283.8
299.9
292.4
293.3
300.8
293.7
293.1
294.4
292.1
291.9
282.5
277.9
287.5
289.2
285.6
293.2
290.8
283.1
275
287.8
287.8
287.4
284
277.8
277.6
304.9
294
300.9
324
332.9
341.6
333.4
348.2
344.7
344.7
329.3
323.5
323.2
317.4
330.1
329.2
334.9
315.8
315.4
319.6
317.3
313.8
315.8
311.3




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64537&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64537&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64537&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk







Granger Causality Test: Y = f(X)
ModelRes.DFDiff. DFFp-value
Complete model350
Reduced model353-36.856878673451190.000168354241224016

\begin{tabular}{lllllllll}
\hline
Granger Causality Test: Y = f(X) \tabularnewline
Model & Res.DF & Diff. DF & F & p-value \tabularnewline
Complete model & 350 &  &  &  \tabularnewline
Reduced model & 353 & -3 & 6.85687867345119 & 0.000168354241224016 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64537&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]350[/C][C][/C][C][/C][C][/C][/ROW]
[ROW][C]Reduced model[/C][C]353[/C][C]-3[/C][C]6.85687867345119[/C][C]0.000168354241224016[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64537&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64537&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 model350
Reduced model353-36.856878673451190.000168354241224016







Granger Causality Test: X = f(Y)
ModelRes.DFDiff. DFFp-value
Complete model350
Reduced model353-34.13319251531420.00672126100150023

\begin{tabular}{lllllllll}
\hline
Granger Causality Test: X = f(Y) \tabularnewline
Model & Res.DF & Diff. DF & F & p-value \tabularnewline
Complete model & 350 &  &  &  \tabularnewline
Reduced model & 353 & -3 & 4.1331925153142 & 0.00672126100150023 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64537&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]350[/C][C][/C][C][/C][C][/C][/ROW]
[ROW][C]Reduced model[/C][C]353[/C][C]-3[/C][C]4.1331925153142[/C][C]0.00672126100150023[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64537&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64537&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 model350
Reduced model353-34.13319251531420.00672126100150023



Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ; par5 = 1 ; par6 = 0 ; par7 = 0 ; par8 = 3 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ; par5 = 1 ; par6 = 0 ; par7 = 0 ; par8 = 3 ;
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)
x
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')