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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 computationWed, 28 Nov 2007 13:46:06 -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/Nov/28/t1196282148jvdt8echgqdlce9.htm/, Retrieved Thu, 02 May 2024 08:26:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7277, Retrieved Thu, 02 May 2024 08:26:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact181

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 correlation...] [2007-11-28 20:46:06] [cb51ec34031fa6f7825ad77351c1efd8] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
40,3
38,4
46,9
56,1
57,4
58,5
66,6
71,8
80,7
78,2
85,0
87,6
88,6
95,0
96,3
83,3
96,9
103,4
99,3
103,8
113,4
111,5
114,2
90,6
90,8
96,4
90,0
92,1
97,2
95,1
88,5
91,0
90,5
75,0
66,3
66,0
68,4
70,6
83,9
90,1
90,6
87,1
90,8
94,1
99,8
96,8
87,0
96,3
107,1
115,2
106,1
89,5
91,3
97,6
100,7
104,6
94,7
101,8
102,5
105,3
Dataseries Y:
Download CSV
Histogram 
544.5
619.8
777.6
640.4
633.0
722.0
860.1
495.1
692.8
766.7
648.5
640.0
681.6
752.5
1031.7
685.5
887.6
655.4
944.2
626.6
1221.8
939.6
886.6
811.3
774.7
910.6
911.6
697.7
829.8
824.3
885.6
538.9
686.0
878.7
812.7
640.4
773.9
795.9
836.3
876.1
851.7
692.4
877.3
536.8
705.9
951.0
755.7
695.5
744.8
672.1
666.6
760.8
756.0
604.4
883.9
527.9
756.2
812.9
655.6
707.6

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=7277&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=7277&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7277&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 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])
-140.0801832172778907
-130.0997887296222577
-12-0.141494852114224
-110.0952545742377858
-100.0716652104987874
-90.115181624878456
-8-0.0522214487920906
-7-0.0635207667853468
-6-0.177973759474449
-50.104116009150649
-4-0.114676076228186
-30.0455380206695241
-20.00539887968728061
-1-0.0622346922357944
0-0.182696788974005
10.056807559047559
2-0.173228452784005
3-0.0589644099332136
4-0.169457642863588
5-0.142480255941367
6-0.105101509088042
70.0207820794579947
8-0.250723850821163
9-0.0560548323098697
100.013421114849688
11-0.182679253222098
12-0.172805299741973
130.0522710445933236
140.116275688623868

\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 & 0.0801832172778907 \tabularnewline
-13 & 0.0997887296222577 \tabularnewline
-12 & -0.141494852114224 \tabularnewline
-11 & 0.0952545742377858 \tabularnewline
-10 & 0.0716652104987874 \tabularnewline
-9 & 0.115181624878456 \tabularnewline
-8 & -0.0522214487920906 \tabularnewline
-7 & -0.0635207667853468 \tabularnewline
-6 & -0.177973759474449 \tabularnewline
-5 & 0.104116009150649 \tabularnewline
-4 & -0.114676076228186 \tabularnewline
-3 & 0.0455380206695241 \tabularnewline
-2 & 0.00539887968728061 \tabularnewline
-1 & -0.0622346922357944 \tabularnewline
0 & -0.182696788974005 \tabularnewline
1 & 0.056807559047559 \tabularnewline
2 & -0.173228452784005 \tabularnewline
3 & -0.0589644099332136 \tabularnewline
4 & -0.169457642863588 \tabularnewline
5 & -0.142480255941367 \tabularnewline
6 & -0.105101509088042 \tabularnewline
7 & 0.0207820794579947 \tabularnewline
8 & -0.250723850821163 \tabularnewline
9 & -0.0560548323098697 \tabularnewline
10 & 0.013421114849688 \tabularnewline
11 & -0.182679253222098 \tabularnewline
12 & -0.172805299741973 \tabularnewline
13 & 0.0522710445933236 \tabularnewline
14 & 0.116275688623868 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7277&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]0.0801832172778907[/C][/ROW]
[ROW][C]-13[/C][C]0.0997887296222577[/C][/ROW]
[ROW][C]-12[/C][C]-0.141494852114224[/C][/ROW]
[ROW][C]-11[/C][C]0.0952545742377858[/C][/ROW]
[ROW][C]-10[/C][C]0.0716652104987874[/C][/ROW]
[ROW][C]-9[/C][C]0.115181624878456[/C][/ROW]
[ROW][C]-8[/C][C]-0.0522214487920906[/C][/ROW]
[ROW][C]-7[/C][C]-0.0635207667853468[/C][/ROW]
[ROW][C]-6[/C][C]-0.177973759474449[/C][/ROW]
[ROW][C]-5[/C][C]0.104116009150649[/C][/ROW]
[ROW][C]-4[/C][C]-0.114676076228186[/C][/ROW]
[ROW][C]-3[/C][C]0.0455380206695241[/C][/ROW]
[ROW][C]-2[/C][C]0.00539887968728061[/C][/ROW]
[ROW][C]-1[/C][C]-0.0622346922357944[/C][/ROW]
[ROW][C]0[/C][C]-0.182696788974005[/C][/ROW]
[ROW][C]1[/C][C]0.056807559047559[/C][/ROW]
[ROW][C]2[/C][C]-0.173228452784005[/C][/ROW]
[ROW][C]3[/C][C]-0.0589644099332136[/C][/ROW]
[ROW][C]4[/C][C]-0.169457642863588[/C][/ROW]
[ROW][C]5[/C][C]-0.142480255941367[/C][/ROW]
[ROW][C]6[/C][C]-0.105101509088042[/C][/ROW]
[ROW][C]7[/C][C]0.0207820794579947[/C][/ROW]
[ROW][C]8[/C][C]-0.250723850821163[/C][/ROW]
[ROW][C]9[/C][C]-0.0560548323098697[/C][/ROW]
[ROW][C]10[/C][C]0.013421114849688[/C][/ROW]
[ROW][C]11[/C][C]-0.182679253222098[/C][/ROW]
[ROW][C]12[/C][C]-0.172805299741973[/C][/ROW]
[ROW][C]13[/C][C]0.0522710445933236[/C][/ROW]
[ROW][C]14[/C][C]0.116275688623868[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7277&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7277&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])
-140.0801832172778907
-130.0997887296222577
-12-0.141494852114224
-110.0952545742377858
-100.0716652104987874
-90.115181624878456
-8-0.0522214487920906
-7-0.0635207667853468
-6-0.177973759474449
-50.104116009150649
-4-0.114676076228186
-30.0455380206695241
-20.00539887968728061
-1-0.0622346922357944
0-0.182696788974005
10.056807559047559
2-0.173228452784005
3-0.0589644099332136
4-0.169457642863588
5-0.142480255941367
6-0.105101509088042
70.0207820794579947
8-0.250723850821163
9-0.0560548323098697
100.013421114849688
11-0.182679253222098
12-0.172805299741973
130.0522710445933236
140.116275688623868


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
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) x <- diff(y,lag=par4,difference=par7)
x
y
bitmap(file='test1.png')
(r <- ccf(x,y,main='Cross Correlation Function',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')