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Author's title

Author*Unverified author*
R Software Modulerwasp_cross.wasp
Title produced by softwareCross Correlation Function
Date of computationWed, 17 Jul 2019 23:20:25 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2019/Jul/17/t1563398522sifcwdiii5npvye.htm/, Retrieved Thu, 28 Mar 2024 13:26:47 +0100
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Thu, 28 Mar 2024 13:26:47 +0100
QR Codes:

Original text written by user:
IsPrivate?This computation is private
User-defined keywords
Estimated Impact0
Dataseries X:
161
184
261
379
400
246
245
461
227
178
357
303
383
197
328
279
234
274
324
475
224
444
885
563
278
97
176
270
261
213
405
278
431
216
498
552
650
492
478
371
277
398
237
205
360
299
252
623
308
377
825
219
Dataseries Y:
0
2
1
3
4
2
2
1
3
3
2
2
9
1
1
3
6
3
0
2
0
5
3
2
12
5
2
2
0
0
3
0
0
1
5
1
3
5
9
5
1
0
1
3
1
0
0
4
3
0
1
7




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]0 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center







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)1
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])
-14-0.00443807611541459
-13-0.0759179734245337
-12-0.0489826008009708
-11-0.197323307707946
-10-0.238327008788028
-9-0.202027288526424
-8-0.165230087296549
-7-0.124147599637782
-6-0.102137654394931
-50.00385695475244994
-40.0669785808952776
-30.180982267836991
-20.503779814546494
-10.281819240232016
00.0861629721148628
1-0.145712611746539
2-0.057142779997996
3-0.120831388126721
4-0.331084839609819
5-0.239974562769627
60.0171004862133554
70.0122719241173311
8-0.134033275253178
9-0.0968521301425311
100.21234319513757
110.330707015757926
120.192906546175872
130.135482174504235
140.070105423236856

\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) & 1 \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 & -0.00443807611541459 \tabularnewline
-13 & -0.0759179734245337 \tabularnewline
-12 & -0.0489826008009708 \tabularnewline
-11 & -0.197323307707946 \tabularnewline
-10 & -0.238327008788028 \tabularnewline
-9 & -0.202027288526424 \tabularnewline
-8 & -0.165230087296549 \tabularnewline
-7 & -0.124147599637782 \tabularnewline
-6 & -0.102137654394931 \tabularnewline
-5 & 0.00385695475244994 \tabularnewline
-4 & 0.0669785808952776 \tabularnewline
-3 & 0.180982267836991 \tabularnewline
-2 & 0.503779814546494 \tabularnewline
-1 & 0.281819240232016 \tabularnewline
0 & 0.0861629721148628 \tabularnewline
1 & -0.145712611746539 \tabularnewline
2 & -0.057142779997996 \tabularnewline
3 & -0.120831388126721 \tabularnewline
4 & -0.331084839609819 \tabularnewline
5 & -0.239974562769627 \tabularnewline
6 & 0.0171004862133554 \tabularnewline
7 & 0.0122719241173311 \tabularnewline
8 & -0.134033275253178 \tabularnewline
9 & -0.0968521301425311 \tabularnewline
10 & 0.21234319513757 \tabularnewline
11 & 0.330707015757926 \tabularnewline
12 & 0.192906546175872 \tabularnewline
13 & 0.135482174504235 \tabularnewline
14 & 0.070105423236856 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]1[/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]-0.00443807611541459[/C][/ROW]
[ROW][C]-13[/C][C]-0.0759179734245337[/C][/ROW]
[ROW][C]-12[/C][C]-0.0489826008009708[/C][/ROW]
[ROW][C]-11[/C][C]-0.197323307707946[/C][/ROW]
[ROW][C]-10[/C][C]-0.238327008788028[/C][/ROW]
[ROW][C]-9[/C][C]-0.202027288526424[/C][/ROW]
[ROW][C]-8[/C][C]-0.165230087296549[/C][/ROW]
[ROW][C]-7[/C][C]-0.124147599637782[/C][/ROW]
[ROW][C]-6[/C][C]-0.102137654394931[/C][/ROW]
[ROW][C]-5[/C][C]0.00385695475244994[/C][/ROW]
[ROW][C]-4[/C][C]0.0669785808952776[/C][/ROW]
[ROW][C]-3[/C][C]0.180982267836991[/C][/ROW]
[ROW][C]-2[/C][C]0.503779814546494[/C][/ROW]
[ROW][C]-1[/C][C]0.281819240232016[/C][/ROW]
[ROW][C]0[/C][C]0.0861629721148628[/C][/ROW]
[ROW][C]1[/C][C]-0.145712611746539[/C][/ROW]
[ROW][C]2[/C][C]-0.057142779997996[/C][/ROW]
[ROW][C]3[/C][C]-0.120831388126721[/C][/ROW]
[ROW][C]4[/C][C]-0.331084839609819[/C][/ROW]
[ROW][C]5[/C][C]-0.239974562769627[/C][/ROW]
[ROW][C]6[/C][C]0.0171004862133554[/C][/ROW]
[ROW][C]7[/C][C]0.0122719241173311[/C][/ROW]
[ROW][C]8[/C][C]-0.134033275253178[/C][/ROW]
[ROW][C]9[/C][C]-0.0968521301425311[/C][/ROW]
[ROW][C]10[/C][C]0.21234319513757[/C][/ROW]
[ROW][C]11[/C][C]0.330707015757926[/C][/ROW]
[ROW][C]12[/C][C]0.192906546175872[/C][/ROW]
[ROW][C]13[/C][C]0.135482174504235[/C][/ROW]
[ROW][C]14[/C][C]0.070105423236856[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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)1
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])
-14-0.00443807611541459
-13-0.0759179734245337
-12-0.0489826008009708
-11-0.197323307707946
-10-0.238327008788028
-9-0.202027288526424
-8-0.165230087296549
-7-0.124147599637782
-6-0.102137654394931
-50.00385695475244994
-40.0669785808952776
-30.180982267836991
-20.503779814546494
-10.281819240232016
00.0861629721148628
1-0.145712611746539
2-0.057142779997996
3-0.120831388126721
4-0.331084839609819
5-0.239974562769627
60.0171004862133554
70.0122719241173311
8-0.134033275253178
9-0.0968521301425311
100.21234319513757
110.330707015757926
120.192906546175872
130.135482174504235
140.070105423236856



Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 1 ; par5 = 1 ; par6 = 0 ; par7 = 0 ; par8 = na.fail ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 1 ; par5 = 1 ; par6 = 0 ; par7 = 0 ; par8 = na.fail ;
R code (references can be found in the software module):
par8 <- 'na.fail'
par7 <- '0'
par6 <- '0'
par5 <- '1'
par4 <- '1'
par3 <- '0'
par2 <- '0'
par1 <- '1'
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 (par8=='na.fail') par8 <- na.fail else par8 <- na.pass
ccf <- function (x, y, lag.max = NULL, type = c('correlation', 'covariance'), plot = TRUE, na.action = na.fail, ...) {
type <- match.arg(type)
if (is.matrix(x) || is.matrix(y))
stop('univariate time series only')
X <- na.action(ts.intersect(as.ts(x), as.ts(y)))
colnames(X) <- c(deparse(substitute(x))[1L], deparse(substitute(y))[1L])
acf.out <- acf(X, lag.max = lag.max, plot = FALSE, type = type, na.action=na.action)
lag <- c(rev(acf.out$lag[-1, 2, 1]), acf.out$lag[, 1, 2])
y <- c(rev(acf.out$acf[-1, 2, 1]), acf.out$acf[, 1, 2])
acf.out$acf <- array(y, dim = c(length(y), 1L, 1L))
acf.out$lag <- array(lag, dim = c(length(y), 1L, 1L))
acf.out$snames <- paste(acf.out$snames, collapse = ' & ')
if (plot) {
plot(acf.out, ...)
return(invisible(acf.out))
}
else return(acf.out)
}
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)
print(x)
print(y)
bitmap(file='test1.png')
(r <- ccf(x,y,na.action=par8,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')