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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_cross.wasp
Title produced by softwareCross Correlation Function
Date of computationTue, 21 Dec 2010 12:35:08 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/21/t1292934809laogx6tdn9u80la.htm/, Retrieved Fri, 17 May 2024 05:45:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=113401, Retrieved Fri, 17 May 2024 05:45:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109

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 correlatie ...] [2008-12-14 14:01:08] [4e6222b6603c6cf58bf3d7a9b1dc61c3]
-  M D  [Cross Correlation Function] [Cross correlatie ...] [2010-12-03 09:32:54] [ff7c1e95cf99a1dae07ec89975494dde]
-   P       [Cross Correlation Function] [Crosscorrelatie n...] [2010-12-21 12:35:08] [2fa539864aa87c5da4977c85c6885fac] [Current]
-   P         [Cross Correlation Function] [Crosscorrelatie d...] [2010-12-21 12:37:58] [ff7c1e95cf99a1dae07ec89975494dde]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.81
0.81
0.81
0.79
0.78
0.78
0.77
0.78
0.77
0.78
0.79
0.79
0.79
0.79
0.79
0.8
0.8
0.8
0.8
0.81
0.8
0.82
0.85
0.85
0.86
0.85
0.83
0.81
0.82
0.82
0.78
0.78
0.73
0.68
0.65
0.62
0.6
0.6
0.59
0.6
0.6
0.6
0.59
0.58
0.56
0.55
0.54
0.55
0.55
0.54
0.54
0.54
0.53
0.53
0.53
0.53
Dataseries Y:
Download CSV
Histogram 
1.88
1.87
1.88
1.87
1.88
1.87
1.87
1.87
1.87
1.87
1.87
1.87
1.87
1.87
1.87
1.87
1.87
1.87
1.87
1.87
1.88
1.88
1.87
1.87
1.87
1.87
1.87
1.87
1.87
1.86
1.86
1.85
1.84
1.83
1.82
1.78
1.75
1.74
1.74
1.74
1.73
1.73
1.73
1.71
1.7
1.7
1.69
1.68
1.68
1.68
1.68
1.67
1.66
1.65
1.65
1.65

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113401&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113401&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113401&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 time2 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 series1
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])
-140.323057053432317
-130.346736234834034
-120.374869896267686
-110.398225115485262
-100.386268456631498
-90.377281451132358
-80.325882396359459
-70.312764873012525
-60.309717174222631
-50.271357597361397
-40.23523875894047
-30.195070393217784
-20.123315714541376
-10.0701078709070255
00.0265648990995399
1-0.0149591992785957
2-0.0342108974970559
3-0.0342678363051775
4-0.0220412089646298
5-0.0316820290535814
6-0.0202113134760288
7-0.0346305757810565
8-0.0394929536539322
9-0.0665467411404484
10-0.082477826971466
11-0.092145643909096
12-0.0847514524819809
13-0.087778044644726
14-0.0863501567755362

\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 & 1 \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 & 0.323057053432317 \tabularnewline
-13 & 0.346736234834034 \tabularnewline
-12 & 0.374869896267686 \tabularnewline
-11 & 0.398225115485262 \tabularnewline
-10 & 0.386268456631498 \tabularnewline
-9 & 0.377281451132358 \tabularnewline
-8 & 0.325882396359459 \tabularnewline
-7 & 0.312764873012525 \tabularnewline
-6 & 0.309717174222631 \tabularnewline
-5 & 0.271357597361397 \tabularnewline
-4 & 0.23523875894047 \tabularnewline
-3 & 0.195070393217784 \tabularnewline
-2 & 0.123315714541376 \tabularnewline
-1 & 0.0701078709070255 \tabularnewline
0 & 0.0265648990995399 \tabularnewline
1 & -0.0149591992785957 \tabularnewline
2 & -0.0342108974970559 \tabularnewline
3 & -0.0342678363051775 \tabularnewline
4 & -0.0220412089646298 \tabularnewline
5 & -0.0316820290535814 \tabularnewline
6 & -0.0202113134760288 \tabularnewline
7 & -0.0346305757810565 \tabularnewline
8 & -0.0394929536539322 \tabularnewline
9 & -0.0665467411404484 \tabularnewline
10 & -0.082477826971466 \tabularnewline
11 & -0.092145643909096 \tabularnewline
12 & -0.0847514524819809 \tabularnewline
13 & -0.087778044644726 \tabularnewline
14 & -0.0863501567755362 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113401&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]1[/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]0.323057053432317[/C][/ROW]
[ROW][C]-13[/C][C]0.346736234834034[/C][/ROW]
[ROW][C]-12[/C][C]0.374869896267686[/C][/ROW]
[ROW][C]-11[/C][C]0.398225115485262[/C][/ROW]
[ROW][C]-10[/C][C]0.386268456631498[/C][/ROW]
[ROW][C]-9[/C][C]0.377281451132358[/C][/ROW]
[ROW][C]-8[/C][C]0.325882396359459[/C][/ROW]
[ROW][C]-7[/C][C]0.312764873012525[/C][/ROW]
[ROW][C]-6[/C][C]0.309717174222631[/C][/ROW]
[ROW][C]-5[/C][C]0.271357597361397[/C][/ROW]
[ROW][C]-4[/C][C]0.23523875894047[/C][/ROW]
[ROW][C]-3[/C][C]0.195070393217784[/C][/ROW]
[ROW][C]-2[/C][C]0.123315714541376[/C][/ROW]
[ROW][C]-1[/C][C]0.0701078709070255[/C][/ROW]
[ROW][C]0[/C][C]0.0265648990995399[/C][/ROW]
[ROW][C]1[/C][C]-0.0149591992785957[/C][/ROW]
[ROW][C]2[/C][C]-0.0342108974970559[/C][/ROW]
[ROW][C]3[/C][C]-0.0342678363051775[/C][/ROW]
[ROW][C]4[/C][C]-0.0220412089646298[/C][/ROW]
[ROW][C]5[/C][C]-0.0316820290535814[/C][/ROW]
[ROW][C]6[/C][C]-0.0202113134760288[/C][/ROW]
[ROW][C]7[/C][C]-0.0346305757810565[/C][/ROW]
[ROW][C]8[/C][C]-0.0394929536539322[/C][/ROW]
[ROW][C]9[/C][C]-0.0665467411404484[/C][/ROW]
[ROW][C]10[/C][C]-0.082477826971466[/C][/ROW]
[ROW][C]11[/C][C]-0.092145643909096[/C][/ROW]
[ROW][C]12[/C][C]-0.0847514524819809[/C][/ROW]
[ROW][C]13[/C][C]-0.087778044644726[/C][/ROW]
[ROW][C]14[/C][C]-0.0863501567755362[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113401&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113401&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 series1
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])
-140.323057053432317
-130.346736234834034
-120.374869896267686
-110.398225115485262
-100.386268456631498
-90.377281451132358
-80.325882396359459
-70.312764873012525
-60.309717174222631
-50.271357597361397
-40.23523875894047
-30.195070393217784
-20.123315714541376
-10.0701078709070255
00.0265648990995399
1-0.0149591992785957
2-0.0342108974970559
3-0.0342678363051775
4-0.0220412089646298
5-0.0316820290535814
6-0.0202113134760288
7-0.0346305757810565
8-0.0394929536539322
9-0.0665467411404484
10-0.082477826971466
11-0.092145643909096
12-0.0847514524819809
13-0.087778044644726
14-0.0863501567755362


Figures (Output of Computation)

Input Parameters & R Code

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