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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, 18 Dec 2008 03:31:45 -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/18/t1229596592ch46qjjxp76x0pj.htm/, Retrieved Tue, 10 Feb 2026 08:36:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=34633, Retrieved Tue, 10 Feb 2026 08:36:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact435

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] [] [2008-12-18 10:31:45] [86e877ba38171644c8ca01af8044e645] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8,4
8,4
8,4
8,6
8,9
8,8
8,3
7,5
7,2
7,5
8,8
9,3
9,3
8,7
8,2
8,3
8,5
8,6
8,6
8,2
8,1
8
8,6
8,7
8,8
8,5
8,4
8,5
8,7
8,7
8,6
8,5
8,3
8,1
8,2
8,1
8,1
7,9
7,9
7,9
8
8
7,9
8
7,7
7,2
7,5
7,3
7
7
7
7,2
7,3
7,1
6,8
6,6
6,2
6,2
6,8
6,9
6,8
Dataseries Y:
Download CSV
Histogram 
118,3
127,3
112,3
114,9
108,2
105,4
122,1
113,5
110
125,3
114,3
115,6
127,1
123
122,2
126,4
112,7
105,8
120,9
116,3
115,7
127,9
108,3
121,1
128,6
123,1
127,7
126,6
118,4
110
129,6
115,8
125,9
128,4
114
125,6
128,5
136,6
133,1
124,6
123,5
117,2
135,5
124,8
127,8
133,1
125,7
128,4
131,9
146,3
140,6
129,5
132,4
125,9
126,9
135,8
129,5
130,2
133,8
123,3
140,6

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 0 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34633&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34633&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34633&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 time0 seconds
R Server'George Udny Yule' @ 72.249.76.132






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])
-140.0467408230484677
-13-0.027881931359022
-12-0.114959828671551
-11-0.127121056419284
-10-0.121883883638190
-9-0.0767355740429573
-8-0.109469151886701
-7-0.266347745896225
-6-0.353226324905824
-5-0.437934094308158
-4-0.457347725193289
-3-0.417308430742759
-2-0.420739762388872
-1-0.486044488453859
0-0.569052117752764
1-0.50016252717985
2-0.481677547689683
3-0.403631593516888
4-0.373275101306441
5-0.466007279184029
6-0.528059172412313
7-0.592348587534061
8-0.586201288211889
9-0.490090629203965
10-0.449619244717126
11-0.413327405424367
12-0.389288525788913
13-0.321068513744937
14-0.274998208551573

\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 & 0.0467408230484677 \tabularnewline
-13 & -0.027881931359022 \tabularnewline
-12 & -0.114959828671551 \tabularnewline
-11 & -0.127121056419284 \tabularnewline
-10 & -0.121883883638190 \tabularnewline
-9 & -0.0767355740429573 \tabularnewline
-8 & -0.109469151886701 \tabularnewline
-7 & -0.266347745896225 \tabularnewline
-6 & -0.353226324905824 \tabularnewline
-5 & -0.437934094308158 \tabularnewline
-4 & -0.457347725193289 \tabularnewline
-3 & -0.417308430742759 \tabularnewline
-2 & -0.420739762388872 \tabularnewline
-1 & -0.486044488453859 \tabularnewline
0 & -0.569052117752764 \tabularnewline
1 & -0.50016252717985 \tabularnewline
2 & -0.481677547689683 \tabularnewline
3 & -0.403631593516888 \tabularnewline
4 & -0.373275101306441 \tabularnewline
5 & -0.466007279184029 \tabularnewline
6 & -0.528059172412313 \tabularnewline
7 & -0.592348587534061 \tabularnewline
8 & -0.586201288211889 \tabularnewline
9 & -0.490090629203965 \tabularnewline
10 & -0.449619244717126 \tabularnewline
11 & -0.413327405424367 \tabularnewline
12 & -0.389288525788913 \tabularnewline
13 & -0.321068513744937 \tabularnewline
14 & -0.274998208551573 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34633&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]0.0467408230484677[/C][/ROW]
[ROW][C]-13[/C][C]-0.027881931359022[/C][/ROW]
[ROW][C]-12[/C][C]-0.114959828671551[/C][/ROW]
[ROW][C]-11[/C][C]-0.127121056419284[/C][/ROW]
[ROW][C]-10[/C][C]-0.121883883638190[/C][/ROW]
[ROW][C]-9[/C][C]-0.0767355740429573[/C][/ROW]
[ROW][C]-8[/C][C]-0.109469151886701[/C][/ROW]
[ROW][C]-7[/C][C]-0.266347745896225[/C][/ROW]
[ROW][C]-6[/C][C]-0.353226324905824[/C][/ROW]
[ROW][C]-5[/C][C]-0.437934094308158[/C][/ROW]
[ROW][C]-4[/C][C]-0.457347725193289[/C][/ROW]
[ROW][C]-3[/C][C]-0.417308430742759[/C][/ROW]
[ROW][C]-2[/C][C]-0.420739762388872[/C][/ROW]
[ROW][C]-1[/C][C]-0.486044488453859[/C][/ROW]
[ROW][C]0[/C][C]-0.569052117752764[/C][/ROW]
[ROW][C]1[/C][C]-0.50016252717985[/C][/ROW]
[ROW][C]2[/C][C]-0.481677547689683[/C][/ROW]
[ROW][C]3[/C][C]-0.403631593516888[/C][/ROW]
[ROW][C]4[/C][C]-0.373275101306441[/C][/ROW]
[ROW][C]5[/C][C]-0.466007279184029[/C][/ROW]
[ROW][C]6[/C][C]-0.528059172412313[/C][/ROW]
[ROW][C]7[/C][C]-0.592348587534061[/C][/ROW]
[ROW][C]8[/C][C]-0.586201288211889[/C][/ROW]
[ROW][C]9[/C][C]-0.490090629203965[/C][/ROW]
[ROW][C]10[/C][C]-0.449619244717126[/C][/ROW]
[ROW][C]11[/C][C]-0.413327405424367[/C][/ROW]
[ROW][C]12[/C][C]-0.389288525788913[/C][/ROW]
[ROW][C]13[/C][C]-0.321068513744937[/C][/ROW]
[ROW][C]14[/C][C]-0.274998208551573[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34633&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34633&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])
-140.0467408230484677
-13-0.027881931359022
-12-0.114959828671551
-11-0.127121056419284
-10-0.121883883638190
-9-0.0767355740429573
-8-0.109469151886701
-7-0.266347745896225
-6-0.353226324905824
-5-0.437934094308158
-4-0.457347725193289
-3-0.417308430742759
-2-0.420739762388872
-1-0.486044488453859
0-0.569052117752764
1-0.50016252717985
2-0.481677547689683
3-0.403631593516888
4-0.373275101306441
5-0.466007279184029
6-0.528059172412313
7-0.592348587534061
8-0.586201288211889
9-0.490090629203965
10-0.449619244717126
11-0.413327405424367
12-0.389288525788913
13-0.321068513744937
14-0.274998208551573


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')