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Author*The author of this computation has been verified*
R Software Modulerwasp_cross.wasp
Title produced by softwareCross Correlation Function
Date of computationMon, 22 Dec 2008 06:51:00 -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/22/t12299547897au6a9scsoem5ir.htm/, Retrieved Mon, 13 May 2024 10:51:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36072, Retrieved Mon, 13 May 2024 10:51:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact183
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Mean Plot] [Mean Plot] [2008-11-06 16:32:30] [1a98f534d827b920a5783bf87d2d3cce]
- RMPD    [Cross Correlation Function] [Cross Correlation...] [2008-12-22 13:51:00] [96839c4b6d4e03ef3851369c676780bf] [Current]
-   PD      [Cross Correlation Function] [cross correlatie ...] [2009-01-24 06:52:11] [f77c9ab3b413812d7baee6b7ec69a15d]
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Dataseries X:
4,75
4,75
4,75
4,75
4,75
4,58
4,5
4,5
4,49
4,03
3,75
3,39
3,25
3,25
3,25
3,25
3,25
3,25
3,25
3,25
3,25
3,25
3,25
3,25
2,85
2,75
2,75
2,55
2,5
2,5
2,1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2,21
2,25
2,25
2,45
2,5
2,5
2,64
2,75
2,93
3
3,17
3,25
3,39
3,5
3,5
3,65
3,75
3,75
3,9
4
4
4
4
4
4
4
4
4
4
4
4
4,18
4,25
4,25
3,97
3,42
3,34
Dataseries Y:
15
13
8
7
3
3
4
4
0
-4
-14
-18
-8
-1
1
2
0
1
0
-1
-3
-3
-3
-4
-8
-9
-13
-18
-11
-9
-10
-13
-11
-5
-15
-6
-6
-3
-1
-3
-4
-6
0
-4
-2
-2
-6
-7
-6
-6
-3
-2
-5
-11
-11
-11
-10
-14
-8
-9
-5
-1
-2
-5
-4
-6
-2
-2
-2
-2
2
1
-8
-1
1
-1
2
2
1
-1
-2
-2
-1
-8
-4
-6
-3
-3
-7
-9
-11
-13
-11
-9
-17
-22
-25




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36072&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36072&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36072&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 time1 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])
-16-0.118726546001604
-15-0.0934091460654485
-14-0.0743117939936297
-13-0.0650735508346225
-12-0.0807024629441032
-11-0.118084845542348
-10-0.137359961817486
-9-0.135695744384703
-8-0.120168165124692
-7-0.0835885694832099
-6-0.0483947385750759
-5-0.0239614779681483
-40.00703023567962281
-30.0564756568338373
-20.130719480753661
-10.244858149869899
00.356587088404721
10.397296913564367
20.416384523013473
30.424067074413607
40.422903946651156
50.414173936279662
60.397724894903147
70.372027838288757
80.334531602134868
90.289889927285688
100.254238758299964
110.225022287849901
120.213768792755863
130.204803059517357
140.199515317315970
150.185712443699603
160.170144148671653

\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 & -0.118726546001604 \tabularnewline
-15 & -0.0934091460654485 \tabularnewline
-14 & -0.0743117939936297 \tabularnewline
-13 & -0.0650735508346225 \tabularnewline
-12 & -0.0807024629441032 \tabularnewline
-11 & -0.118084845542348 \tabularnewline
-10 & -0.137359961817486 \tabularnewline
-9 & -0.135695744384703 \tabularnewline
-8 & -0.120168165124692 \tabularnewline
-7 & -0.0835885694832099 \tabularnewline
-6 & -0.0483947385750759 \tabularnewline
-5 & -0.0239614779681483 \tabularnewline
-4 & 0.00703023567962281 \tabularnewline
-3 & 0.0564756568338373 \tabularnewline
-2 & 0.130719480753661 \tabularnewline
-1 & 0.244858149869899 \tabularnewline
0 & 0.356587088404721 \tabularnewline
1 & 0.397296913564367 \tabularnewline
2 & 0.416384523013473 \tabularnewline
3 & 0.424067074413607 \tabularnewline
4 & 0.422903946651156 \tabularnewline
5 & 0.414173936279662 \tabularnewline
6 & 0.397724894903147 \tabularnewline
7 & 0.372027838288757 \tabularnewline
8 & 0.334531602134868 \tabularnewline
9 & 0.289889927285688 \tabularnewline
10 & 0.254238758299964 \tabularnewline
11 & 0.225022287849901 \tabularnewline
12 & 0.213768792755863 \tabularnewline
13 & 0.204803059517357 \tabularnewline
14 & 0.199515317315970 \tabularnewline
15 & 0.185712443699603 \tabularnewline
16 & 0.170144148671653 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36072&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]-0.118726546001604[/C][/ROW]
[ROW][C]-15[/C][C]-0.0934091460654485[/C][/ROW]
[ROW][C]-14[/C][C]-0.0743117939936297[/C][/ROW]
[ROW][C]-13[/C][C]-0.0650735508346225[/C][/ROW]
[ROW][C]-12[/C][C]-0.0807024629441032[/C][/ROW]
[ROW][C]-11[/C][C]-0.118084845542348[/C][/ROW]
[ROW][C]-10[/C][C]-0.137359961817486[/C][/ROW]
[ROW][C]-9[/C][C]-0.135695744384703[/C][/ROW]
[ROW][C]-8[/C][C]-0.120168165124692[/C][/ROW]
[ROW][C]-7[/C][C]-0.0835885694832099[/C][/ROW]
[ROW][C]-6[/C][C]-0.0483947385750759[/C][/ROW]
[ROW][C]-5[/C][C]-0.0239614779681483[/C][/ROW]
[ROW][C]-4[/C][C]0.00703023567962281[/C][/ROW]
[ROW][C]-3[/C][C]0.0564756568338373[/C][/ROW]
[ROW][C]-2[/C][C]0.130719480753661[/C][/ROW]
[ROW][C]-1[/C][C]0.244858149869899[/C][/ROW]
[ROW][C]0[/C][C]0.356587088404721[/C][/ROW]
[ROW][C]1[/C][C]0.397296913564367[/C][/ROW]
[ROW][C]2[/C][C]0.416384523013473[/C][/ROW]
[ROW][C]3[/C][C]0.424067074413607[/C][/ROW]
[ROW][C]4[/C][C]0.422903946651156[/C][/ROW]
[ROW][C]5[/C][C]0.414173936279662[/C][/ROW]
[ROW][C]6[/C][C]0.397724894903147[/C][/ROW]
[ROW][C]7[/C][C]0.372027838288757[/C][/ROW]
[ROW][C]8[/C][C]0.334531602134868[/C][/ROW]
[ROW][C]9[/C][C]0.289889927285688[/C][/ROW]
[ROW][C]10[/C][C]0.254238758299964[/C][/ROW]
[ROW][C]11[/C][C]0.225022287849901[/C][/ROW]
[ROW][C]12[/C][C]0.213768792755863[/C][/ROW]
[ROW][C]13[/C][C]0.204803059517357[/C][/ROW]
[ROW][C]14[/C][C]0.199515317315970[/C][/ROW]
[ROW][C]15[/C][C]0.185712443699603[/C][/ROW]
[ROW][C]16[/C][C]0.170144148671653[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36072&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36072&T=1

As an alternative you can also use a 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])
-16-0.118726546001604
-15-0.0934091460654485
-14-0.0743117939936297
-13-0.0650735508346225
-12-0.0807024629441032
-11-0.118084845542348
-10-0.137359961817486
-9-0.135695744384703
-8-0.120168165124692
-7-0.0835885694832099
-6-0.0483947385750759
-5-0.0239614779681483
-40.00703023567962281
-30.0564756568338373
-20.130719480753661
-10.244858149869899
00.356587088404721
10.397296913564367
20.416384523013473
30.424067074413607
40.422903946651156
50.414173936279662
60.397724894903147
70.372027838288757
80.334531602134868
90.289889927285688
100.254238758299964
110.225022287849901
120.213768792755863
130.204803059517357
140.199515317315970
150.185712443699603
160.170144148671653



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')