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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 computationThu, 29 Nov 2007 04:31:51 -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/2007/Nov/29/t1196335327j5uljvdt242pl3d.htm/, Retrieved Wed, 29 Apr 2026 00:33:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7429, Retrieved Wed, 29 Apr 2026 00:33:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact440

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] [Q5] [2007-11-29 11:31:51] [031886dbad66702fa31ca1c4d15fdd0f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Dataseries Y:
Download CSV
Histogram 
5,22
5,09
4,77
4,54
4,56
4,39
4,73
4,44
4,3
4,24
4,01
3,5
3,23
3,28
3,49
3,7
3,63
3,95
3,73
3,87
3,66
3,49
3,4
3,32
3,11
3,06
2,68
2,55
2,34
2,34
2,39
2,21
2,09
2,14
2,31
2,14
2,45
2,52
2,3
2,25
2,06
1,99
2,25
2,26
2,36
2,3
2,19
2,31
2,21
2,21
2,26
2,18
2,21
2,33
2,12
2,08
1,97
2,09
2,11
2,24
2,45
2,68
2,73
2,76
2,83
3,16
3,22
3,22
3,34
3,35
3,42
3,58
3,71
3,68
3,83
3,94
3,88
4,03
4,15
4,32
4,4
4,37
4,14
4,11
4,16

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7429&T=0

[TABLE]
[ROW][C]Summary of compuational 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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7429&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7429&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






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])
-16-0.157564342961297
-15-0.204400518944091
-14-0.237015227145778
-13-0.258341618337105
-12-0.264182698841695
-11-0.276575920553291
-10-0.297108635653710
-9-0.321851284801555
-8-0.345157552763136
-7-0.366578840008811
-6-0.389307104730275
-5-0.406609040525856
-4-0.421124483089229
-3-0.446751390925313
-2-0.476954876655165
-1-0.524796088122642
0-0.584374216130121
1-0.587418857078088
2-0.580283739468757
3-0.554618010519531
4-0.521809196752133
5-0.486968744730291
6-0.446546679329998
7-0.394538668385254
8-0.35432364892172
9-0.307034559952267
10-0.260815208322733
11-0.205546223874042
12-0.137703512224281
13-0.0652626553956723
14-0.0676171432211109
15-0.0690744319872621
16-0.0701391961649751

\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
-16 & -0.157564342961297 \tabularnewline
-15 & -0.204400518944091 \tabularnewline
-14 & -0.237015227145778 \tabularnewline
-13 & -0.258341618337105 \tabularnewline
-12 & -0.264182698841695 \tabularnewline
-11 & -0.276575920553291 \tabularnewline
-10 & -0.297108635653710 \tabularnewline
-9 & -0.321851284801555 \tabularnewline
-8 & -0.345157552763136 \tabularnewline
-7 & -0.366578840008811 \tabularnewline
-6 & -0.389307104730275 \tabularnewline
-5 & -0.406609040525856 \tabularnewline
-4 & -0.421124483089229 \tabularnewline
-3 & -0.446751390925313 \tabularnewline
-2 & -0.476954876655165 \tabularnewline
-1 & -0.524796088122642 \tabularnewline
0 & -0.584374216130121 \tabularnewline
1 & -0.587418857078088 \tabularnewline
2 & -0.580283739468757 \tabularnewline
3 & -0.554618010519531 \tabularnewline
4 & -0.521809196752133 \tabularnewline
5 & -0.486968744730291 \tabularnewline
6 & -0.446546679329998 \tabularnewline
7 & -0.394538668385254 \tabularnewline
8 & -0.35432364892172 \tabularnewline
9 & -0.307034559952267 \tabularnewline
10 & -0.260815208322733 \tabularnewline
11 & -0.205546223874042 \tabularnewline
12 & -0.137703512224281 \tabularnewline
13 & -0.0652626553956723 \tabularnewline
14 & -0.0676171432211109 \tabularnewline
15 & -0.0690744319872621 \tabularnewline
16 & -0.0701391961649751 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7429&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]-16[/C][C]-0.157564342961297[/C][/ROW]
[ROW][C]-15[/C][C]-0.204400518944091[/C][/ROW]
[ROW][C]-14[/C][C]-0.237015227145778[/C][/ROW]
[ROW][C]-13[/C][C]-0.258341618337105[/C][/ROW]
[ROW][C]-12[/C][C]-0.264182698841695[/C][/ROW]
[ROW][C]-11[/C][C]-0.276575920553291[/C][/ROW]
[ROW][C]-10[/C][C]-0.297108635653710[/C][/ROW]
[ROW][C]-9[/C][C]-0.321851284801555[/C][/ROW]
[ROW][C]-8[/C][C]-0.345157552763136[/C][/ROW]
[ROW][C]-7[/C][C]-0.366578840008811[/C][/ROW]
[ROW][C]-6[/C][C]-0.389307104730275[/C][/ROW]
[ROW][C]-5[/C][C]-0.406609040525856[/C][/ROW]
[ROW][C]-4[/C][C]-0.421124483089229[/C][/ROW]
[ROW][C]-3[/C][C]-0.446751390925313[/C][/ROW]
[ROW][C]-2[/C][C]-0.476954876655165[/C][/ROW]
[ROW][C]-1[/C][C]-0.524796088122642[/C][/ROW]
[ROW][C]0[/C][C]-0.584374216130121[/C][/ROW]
[ROW][C]1[/C][C]-0.587418857078088[/C][/ROW]
[ROW][C]2[/C][C]-0.580283739468757[/C][/ROW]
[ROW][C]3[/C][C]-0.554618010519531[/C][/ROW]
[ROW][C]4[/C][C]-0.521809196752133[/C][/ROW]
[ROW][C]5[/C][C]-0.486968744730291[/C][/ROW]
[ROW][C]6[/C][C]-0.446546679329998[/C][/ROW]
[ROW][C]7[/C][C]-0.394538668385254[/C][/ROW]
[ROW][C]8[/C][C]-0.35432364892172[/C][/ROW]
[ROW][C]9[/C][C]-0.307034559952267[/C][/ROW]
[ROW][C]10[/C][C]-0.260815208322733[/C][/ROW]
[ROW][C]11[/C][C]-0.205546223874042[/C][/ROW]
[ROW][C]12[/C][C]-0.137703512224281[/C][/ROW]
[ROW][C]13[/C][C]-0.0652626553956723[/C][/ROW]
[ROW][C]14[/C][C]-0.0676171432211109[/C][/ROW]
[ROW][C]15[/C][C]-0.0690744319872621[/C][/ROW]
[ROW][C]16[/C][C]-0.0701391961649751[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7429&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7429&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])
-16-0.157564342961297
-15-0.204400518944091
-14-0.237015227145778
-13-0.258341618337105
-12-0.264182698841695
-11-0.276575920553291
-10-0.297108635653710
-9-0.321851284801555
-8-0.345157552763136
-7-0.366578840008811
-6-0.389307104730275
-5-0.406609040525856
-4-0.421124483089229
-3-0.446751390925313
-2-0.476954876655165
-1-0.524796088122642
0-0.584374216130121
1-0.587418857078088
2-0.580283739468757
3-0.554618010519531
4-0.521809196752133
5-0.486968744730291
6-0.446546679329998
7-0.394538668385254
8-0.35432364892172
9-0.307034559952267
10-0.260815208322733
11-0.205546223874042
12-0.137703512224281
13-0.0652626553956723
14-0.0676171432211109
15-0.0690744319872621
16-0.0701391961649751


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) x <- diff(y,lag=par4,difference=par7)
x
y
bitmap(file='test1.png')
(r <- ccf(x,y,main='Cross Correlation Function',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')