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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 computationTue, 18 Dec 2007 14:29:29 -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/Dec/18/t1198013131qtfkm218ggpmxh3.htm/, Retrieved Sat, 04 May 2024 16:18:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4624, Retrieved Sat, 04 May 2024 16:18:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact183

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 zonder diff...] [2007-12-18 21:29:29] [913b11dbc35beedcf6b58ec86c503d02] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1,43
1,43
1,43
1,43
1,43
1,43
1,43
1,43
1,43
1,43
1,43
1,43
1,43
1,43
1,43
1,43
1,43
1,43
1,44
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,48
1,57
1,58
1,58
1,58
1,58
1,59
1,6
1,6
1,61
1,61
1,61
1,62
1,63
1,63
1,64
1,64
1,64
1,64
1,64
1,65
1,65
1,65
1,65
Dataseries Y:
Download CSV
Histogram 
0,51
0,51
0,51
0,51
0,51
0,51
0,51
0,51
0,5
0,51
0,51
0,5
0,51
0,51
0,51
0,51
0,52
0,52
0,52
0,53
0,53
0,52
0,52
0,52
0,52
0,52
0,52
0,52
0,52
0,52
0,52
0,53
0,53
0,53
0,54
0,54
0,54
0,54
0,54
0,54
0,54
0,54
0,54
0,54
0,53
0,53
0,53
0,53
0,53
0,54
0,55
0,55
0,55
0,55
0,55
0,55
0,55
0,55
0,56
0,56
0,56
0,56
0,56
0,55
0,56
0,55
0,55
0,56
0,55
0,55
0,55
0,55

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 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=4624&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]2 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=4624&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4624&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 time2 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])
-150.162078628309618
-140.20467548933218
-130.256606938451275
-120.30853838757037
-110.365511666679876
-100.41804813539782
-90.469547427660594
-80.521939844093098
-70.568037175651859
-60.61309733075545
-50.658157485859041
-40.705291993872973
-30.752210423458744
-20.799128853044515
-10.852270341361309
00.892965712216058
10.87684566125743
20.85865125738846
30.838382500609149
40.813965038009157
50.77302477826916
60.75379319794502
70.73352444116571
80.694658534336053
90.673352601101572
100.636561047182256
110.595620787442258
120.557792057067772
130.518926150238115
140.480060243408458
150.454605604353296

\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
-15 & 0.162078628309618 \tabularnewline
-14 & 0.20467548933218 \tabularnewline
-13 & 0.256606938451275 \tabularnewline
-12 & 0.30853838757037 \tabularnewline
-11 & 0.365511666679876 \tabularnewline
-10 & 0.41804813539782 \tabularnewline
-9 & 0.469547427660594 \tabularnewline
-8 & 0.521939844093098 \tabularnewline
-7 & 0.568037175651859 \tabularnewline
-6 & 0.61309733075545 \tabularnewline
-5 & 0.658157485859041 \tabularnewline
-4 & 0.705291993872973 \tabularnewline
-3 & 0.752210423458744 \tabularnewline
-2 & 0.799128853044515 \tabularnewline
-1 & 0.852270341361309 \tabularnewline
0 & 0.892965712216058 \tabularnewline
1 & 0.87684566125743 \tabularnewline
2 & 0.85865125738846 \tabularnewline
3 & 0.838382500609149 \tabularnewline
4 & 0.813965038009157 \tabularnewline
5 & 0.77302477826916 \tabularnewline
6 & 0.75379319794502 \tabularnewline
7 & 0.73352444116571 \tabularnewline
8 & 0.694658534336053 \tabularnewline
9 & 0.673352601101572 \tabularnewline
10 & 0.636561047182256 \tabularnewline
11 & 0.595620787442258 \tabularnewline
12 & 0.557792057067772 \tabularnewline
13 & 0.518926150238115 \tabularnewline
14 & 0.480060243408458 \tabularnewline
15 & 0.454605604353296 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4624&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]-15[/C][C]0.162078628309618[/C][/ROW]
[ROW][C]-14[/C][C]0.20467548933218[/C][/ROW]
[ROW][C]-13[/C][C]0.256606938451275[/C][/ROW]
[ROW][C]-12[/C][C]0.30853838757037[/C][/ROW]
[ROW][C]-11[/C][C]0.365511666679876[/C][/ROW]
[ROW][C]-10[/C][C]0.41804813539782[/C][/ROW]
[ROW][C]-9[/C][C]0.469547427660594[/C][/ROW]
[ROW][C]-8[/C][C]0.521939844093098[/C][/ROW]
[ROW][C]-7[/C][C]0.568037175651859[/C][/ROW]
[ROW][C]-6[/C][C]0.61309733075545[/C][/ROW]
[ROW][C]-5[/C][C]0.658157485859041[/C][/ROW]
[ROW][C]-4[/C][C]0.705291993872973[/C][/ROW]
[ROW][C]-3[/C][C]0.752210423458744[/C][/ROW]
[ROW][C]-2[/C][C]0.799128853044515[/C][/ROW]
[ROW][C]-1[/C][C]0.852270341361309[/C][/ROW]
[ROW][C]0[/C][C]0.892965712216058[/C][/ROW]
[ROW][C]1[/C][C]0.87684566125743[/C][/ROW]
[ROW][C]2[/C][C]0.85865125738846[/C][/ROW]
[ROW][C]3[/C][C]0.838382500609149[/C][/ROW]
[ROW][C]4[/C][C]0.813965038009157[/C][/ROW]
[ROW][C]5[/C][C]0.77302477826916[/C][/ROW]
[ROW][C]6[/C][C]0.75379319794502[/C][/ROW]
[ROW][C]7[/C][C]0.73352444116571[/C][/ROW]
[ROW][C]8[/C][C]0.694658534336053[/C][/ROW]
[ROW][C]9[/C][C]0.673352601101572[/C][/ROW]
[ROW][C]10[/C][C]0.636561047182256[/C][/ROW]
[ROW][C]11[/C][C]0.595620787442258[/C][/ROW]
[ROW][C]12[/C][C]0.557792057067772[/C][/ROW]
[ROW][C]13[/C][C]0.518926150238115[/C][/ROW]
[ROW][C]14[/C][C]0.480060243408458[/C][/ROW]
[ROW][C]15[/C][C]0.454605604353296[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4624&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4624&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])
-150.162078628309618
-140.20467548933218
-130.256606938451275
-120.30853838757037
-110.365511666679876
-100.41804813539782
-90.469547427660594
-80.521939844093098
-70.568037175651859
-60.61309733075545
-50.658157485859041
-40.705291993872973
-30.752210423458744
-20.799128853044515
-10.852270341361309
00.892965712216058
10.87684566125743
20.85865125738846
30.838382500609149
40.813965038009157
50.77302477826916
60.75379319794502
70.73352444116571
80.694658534336053
90.673352601101572
100.636561047182256
110.595620787442258
120.557792057067772
130.518926150238115
140.480060243408458
150.454605604353296


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',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')