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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_cross.wasp
Title produced by softwareCross Correlation Function
Date of computationTue, 23 Dec 2008 14:59:47 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/23/t1230070676yqa2ej437kv1jgd.htm/, Retrieved Sun, 19 May 2024 10:43:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36426, Retrieved Sun, 19 May 2024 10:43:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact144

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Cross Correlation Function] [Cross-correlation] [2008-12-23 21:59:47] [af8fa2ce3787e7eb62013778260b011d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
98,6
98
106,8
96,6
100,1
107,7
91,5
97,8
107,4
117,5
105,6
97,4
99,5
98
104,3
100,6
101,1
103,9
96,9
95,5
108,4
117
103,8
100,8
110,6
104
112,6
107,3
98,9
109,8
104,9
102,2
123,9
124,9
112,7
121,9
100,6
104,3
120,4
107,5
102,9
125,6
107,5
108,8
128,4
121,1
119,5
128,7
108,7
105,5
119,8
111,3
110,6
120,1
97,5
107,7
127,3
117,2
119,8
116,2
Dataseries Y:
Download CSV
Histogram 
467
460
448
443
436
431
484
510
513
503
471
471
476
475
470
461
455
456
517
525
523
519
509
512
519
517
510
509
501
507
569
580
578
565
547
555
562
561
555
544
537
543
594
611
613
611
594
595
591
589
584
573
567
569
621
629
628
612
595
597

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36426&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36426&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36426&T=0

As an alternative you can also use a QR Code:  
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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Cross Correlation Function
ParameterValue
Box-Cox transformation parameter (lambda) of X series1
Degree of non-seasonal differencing (d) of X series0
Degree of seasonal differencing (D) of X series0
Seasonal Period (s)12
Box-Cox transformation parameter (lambda) of Y series1
Degree of non-seasonal differencing (d) of Y series0
Degree of seasonal differencing (D) of Y series0
krho(Y[t],X[t+k])
-140.211977108083707
-130.288144879875927
-120.356920125381275
-110.440339756882664
-100.491734670083481
-90.432039657074695
-80.312004643131084
-70.299441129888860
-60.332090239079691
-50.368803244552617
-40.452497237086186
-30.454102355569071
-20.461731814295324
-10.534879964841804
00.577790762081643
10.661216860094266
20.691327397930601
30.554300228634584
40.376620045826546
50.322532722170648
60.300517804009277
70.299456830471691
80.345734497949405
90.297992924095233
100.298425634819169
110.333641363524332
120.303234829784898
130.348602342459253
140.361224293802996

\begin{tabular}{lllllllll}
\hline
Cross Correlation Function \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) of X series & 1 \tabularnewline
Degree of non-seasonal differencing (d) of X series & 0 \tabularnewline
Degree of seasonal differencing (D) of X series & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Box-Cox transformation parameter (lambda) of Y series & 1 \tabularnewline
Degree of non-seasonal differencing (d) of Y series & 0 \tabularnewline
Degree of seasonal differencing (D) of Y series & 0 \tabularnewline
k & rho(Y[t],X[t+k]) \tabularnewline
-14 & 0.211977108083707 \tabularnewline
-13 & 0.288144879875927 \tabularnewline
-12 & 0.356920125381275 \tabularnewline
-11 & 0.440339756882664 \tabularnewline
-10 & 0.491734670083481 \tabularnewline
-9 & 0.432039657074695 \tabularnewline
-8 & 0.312004643131084 \tabularnewline
-7 & 0.299441129888860 \tabularnewline
-6 & 0.332090239079691 \tabularnewline
-5 & 0.368803244552617 \tabularnewline
-4 & 0.452497237086186 \tabularnewline
-3 & 0.454102355569071 \tabularnewline
-2 & 0.461731814295324 \tabularnewline
-1 & 0.534879964841804 \tabularnewline
0 & 0.577790762081643 \tabularnewline
1 & 0.661216860094266 \tabularnewline
2 & 0.691327397930601 \tabularnewline
3 & 0.554300228634584 \tabularnewline
4 & 0.376620045826546 \tabularnewline
5 & 0.322532722170648 \tabularnewline
6 & 0.300517804009277 \tabularnewline
7 & 0.299456830471691 \tabularnewline
8 & 0.345734497949405 \tabularnewline
9 & 0.297992924095233 \tabularnewline
10 & 0.298425634819169 \tabularnewline
11 & 0.333641363524332 \tabularnewline
12 & 0.303234829784898 \tabularnewline
13 & 0.348602342459253 \tabularnewline
14 & 0.361224293802996 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36426&T=1

[TABLE]
[ROW][C]Cross Correlation Function[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]Box-Cox transformation parameter (lambda) of X series[/C][C]1[/C][/ROW]
[ROW][C]Degree of non-seasonal differencing (d) of X series[/C][C]0[/C][/ROW]
[ROW][C]Degree of seasonal differencing (D) of X series[/C][C]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Box-Cox transformation parameter (lambda) of Y series[/C][C]1[/C][/ROW]
[ROW][C]Degree of non-seasonal differencing (d) of Y series[/C][C]0[/C][/ROW]
[ROW][C]Degree of seasonal differencing (D) of Y series[/C][C]0[/C][/ROW]
[ROW][C]k[/C][C]rho(Y[t],X[t+k])[/C][/ROW]
[ROW][C]-14[/C][C]0.211977108083707[/C][/ROW]
[ROW][C]-13[/C][C]0.288144879875927[/C][/ROW]
[ROW][C]-12[/C][C]0.356920125381275[/C][/ROW]
[ROW][C]-11[/C][C]0.440339756882664[/C][/ROW]
[ROW][C]-10[/C][C]0.491734670083481[/C][/ROW]
[ROW][C]-9[/C][C]0.432039657074695[/C][/ROW]
[ROW][C]-8[/C][C]0.312004643131084[/C][/ROW]
[ROW][C]-7[/C][C]0.299441129888860[/C][/ROW]
[ROW][C]-6[/C][C]0.332090239079691[/C][/ROW]
[ROW][C]-5[/C][C]0.368803244552617[/C][/ROW]
[ROW][C]-4[/C][C]0.452497237086186[/C][/ROW]
[ROW][C]-3[/C][C]0.454102355569071[/C][/ROW]
[ROW][C]-2[/C][C]0.461731814295324[/C][/ROW]
[ROW][C]-1[/C][C]0.534879964841804[/C][/ROW]
[ROW][C]0[/C][C]0.577790762081643[/C][/ROW]
[ROW][C]1[/C][C]0.661216860094266[/C][/ROW]
[ROW][C]2[/C][C]0.691327397930601[/C][/ROW]
[ROW][C]3[/C][C]0.554300228634584[/C][/ROW]
[ROW][C]4[/C][C]0.376620045826546[/C][/ROW]
[ROW][C]5[/C][C]0.322532722170648[/C][/ROW]
[ROW][C]6[/C][C]0.300517804009277[/C][/ROW]
[ROW][C]7[/C][C]0.299456830471691[/C][/ROW]
[ROW][C]8[/C][C]0.345734497949405[/C][/ROW]
[ROW][C]9[/C][C]0.297992924095233[/C][/ROW]
[ROW][C]10[/C][C]0.298425634819169[/C][/ROW]
[ROW][C]11[/C][C]0.333641363524332[/C][/ROW]
[ROW][C]12[/C][C]0.303234829784898[/C][/ROW]
[ROW][C]13[/C][C]0.348602342459253[/C][/ROW]
[ROW][C]14[/C][C]0.361224293802996[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36426&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36426&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Cross Correlation Function
ParameterValue
Box-Cox transformation parameter (lambda) of X series1
Degree of non-seasonal differencing (d) of X series0
Degree of seasonal differencing (D) of X series0
Seasonal Period (s)12
Box-Cox transformation parameter (lambda) of Y series1
Degree of non-seasonal differencing (d) of Y series0
Degree of seasonal differencing (D) of Y series0
krho(Y[t],X[t+k])
-140.211977108083707
-130.288144879875927
-120.356920125381275
-110.440339756882664
-100.491734670083481
-90.432039657074695
-80.312004643131084
-70.299441129888860
-60.332090239079691
-50.368803244552617
-40.452497237086186
-30.454102355569071
-20.461731814295324
-10.534879964841804
00.577790762081643
10.661216860094266
20.691327397930601
30.554300228634584
40.376620045826546
50.322532722170648
60.300517804009277
70.299456830471691
80.345734497949405
90.297992924095233
100.298425634819169
110.333641363524332
120.303234829784898
130.348602342459253
140.361224293802996


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ; par5 = 1 ; par6 = 0 ; par7 = 0 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ; par5 = 1 ; par6 = 0 ; par7 = 0 ;
R code (references can be found in the software module):
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)
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
bitmap(file='test1.png')
(r <- ccf(x,y,main='Cross Correlation Function',ylab='CCF',xlab='Lag (k)'))
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Cross Correlation Function',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Box-Cox transformation parameter (lambda) of X series',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of non-seasonal differencing (d) of X series',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of seasonal differencing (D) of X series',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Seasonal Period (s)',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Box-Cox transformation parameter (lambda) of Y series',header=TRUE)
a<-table.element(a,par5)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of non-seasonal differencing (d) of Y series',header=TRUE)
a<-table.element(a,par6)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of seasonal differencing (D) of Y series',header=TRUE)
a<-table.element(a,par7)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'k',header=TRUE)
a<-table.element(a,'rho(Y[t],X[t+k])',header=TRUE)
a<-table.row.end(a)
mylength <- length(r$acf)
myhalf <- floor((mylength-1)/2)
for (i in 1:mylength) {
a<-table.row.start(a)
a<-table.element(a,i-myhalf-1,header=TRUE)
a<-table.element(a,r$acf[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')