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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 computationFri, 14 Dec 2007 12:08:44 -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/14/t1197658432y7slm0jgv3x2wan.htm/, Retrieved Thu, 02 May 2024 14:24:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=3946, Retrieved Thu, 02 May 2024 14:24:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact188

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] [] [2007-12-14 19:08:44] [80e26e27d8b229550cb490fed3b7813c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
105,3
103
103,8
103,4
105,8
101,4
97
94,3
96,6
97,1
95,7
96,9
97,4
95,3
93,6
91,5
93,1
91,7
94,3
93,9
90,9
88,3
91,3
91,7
92,4
92
95,6
95,8
96,4
99
107
109,7
116,2
115,9
113,8
112,6
113,7
115,9
110,3
111,3
113,4
108,2
104,8
106
110,9
115
118,4
121,4
128,8
131,7
141,7
142,9
139,4
134,7
125
113,6
111,5
108,5
112,3
116,6
115,5
120,1
132,9
128,1
129,3
132,5
131
124,9
120,8
122
122,1
127,4
135,2
137,3
135
136
138,4
134,7
138,4
133,9
133,6
141,2
151,8
155,4
156,6
161,6
160,7
156
159,5
168,7
169,9
169,9
185,9
Dataseries Y:
Download CSV
Histogram 
102,7
103,2
105,6
103,9
107,2
100,7
92,1
90,3
93,4
98,5
100,8
102,3
104,7
101,1
101,4
99,5
98,4
96,3
100,7
101,2
100,3
97,8
97,4
98,6
99,7
99
98,1
97
98,5
103,8
114,4
124,5
134,2
131,8
125,6
119,9
114,9
115,5
112,5
111,4
115,3
110,8
103,7
111,1
113
111,2
117,6
121,7
127,3
129,8
137,1
141,4
137,4
130,7
117,2
110,8
111,4
108,2
108,8
110,2
109,5
109,5
116
111,2
112,1
114
119,1
114,1
115,1
115,4
110,8
116
119,2
126,5
127,8
131,3
140,3
137,3
143
134,5
139,9
159,3
170,4
175
175,8
180,9
180,3
169,6
172,3
184,8
177,7
184,6
211,4

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=3946&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=3946&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3946&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 series1
Degree of seasonal differencing (D) of Y series0
krho(Y[t],X[t+k])
-160.109460454866656
-15-0.108227114601950
-140.0812524921636516
-13-0.00177896704527066
-12-0.0185375393575366
-110.121874655210915
-100.119681236480788
-9-0.0419980867444849
-8-0.0975501396433517
-70.0162205684847497
-6-0.109497638023538
-5-0.267620480621933
-4-0.00228478689644781
-30.156401075726549
-20.0399712925476565
-10.191744771902580
00.791416806156729
10.290447678317942
20.0086993975154263
30.080439409707269
4-0.0149872146904612
5-0.201972177213491
6-0.124894976865419
70.0454325382730734
8-0.0404612528295545
9-0.0510020912014525
100.0280990263744799
110.0491235705927618
120.0365481459512124
130.044611004659946
140.143146359765642
150.000808003064746536
160.150501635832695

\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 & 1 \tabularnewline
Degree of seasonal differencing (D) of Y series & 0 \tabularnewline
k & rho(Y[t],X[t+k]) \tabularnewline
-16 & 0.109460454866656 \tabularnewline
-15 & -0.108227114601950 \tabularnewline
-14 & 0.0812524921636516 \tabularnewline
-13 & -0.00177896704527066 \tabularnewline
-12 & -0.0185375393575366 \tabularnewline
-11 & 0.121874655210915 \tabularnewline
-10 & 0.119681236480788 \tabularnewline
-9 & -0.0419980867444849 \tabularnewline
-8 & -0.0975501396433517 \tabularnewline
-7 & 0.0162205684847497 \tabularnewline
-6 & -0.109497638023538 \tabularnewline
-5 & -0.267620480621933 \tabularnewline
-4 & -0.00228478689644781 \tabularnewline
-3 & 0.156401075726549 \tabularnewline
-2 & 0.0399712925476565 \tabularnewline
-1 & 0.191744771902580 \tabularnewline
0 & 0.791416806156729 \tabularnewline
1 & 0.290447678317942 \tabularnewline
2 & 0.0086993975154263 \tabularnewline
3 & 0.080439409707269 \tabularnewline
4 & -0.0149872146904612 \tabularnewline
5 & -0.201972177213491 \tabularnewline
6 & -0.124894976865419 \tabularnewline
7 & 0.0454325382730734 \tabularnewline
8 & -0.0404612528295545 \tabularnewline
9 & -0.0510020912014525 \tabularnewline
10 & 0.0280990263744799 \tabularnewline
11 & 0.0491235705927618 \tabularnewline
12 & 0.0365481459512124 \tabularnewline
13 & 0.044611004659946 \tabularnewline
14 & 0.143146359765642 \tabularnewline
15 & 0.000808003064746536 \tabularnewline
16 & 0.150501635832695 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3946&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]1[/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]0.109460454866656[/C][/ROW]
[ROW][C]-15[/C][C]-0.108227114601950[/C][/ROW]
[ROW][C]-14[/C][C]0.0812524921636516[/C][/ROW]
[ROW][C]-13[/C][C]-0.00177896704527066[/C][/ROW]
[ROW][C]-12[/C][C]-0.0185375393575366[/C][/ROW]
[ROW][C]-11[/C][C]0.121874655210915[/C][/ROW]
[ROW][C]-10[/C][C]0.119681236480788[/C][/ROW]
[ROW][C]-9[/C][C]-0.0419980867444849[/C][/ROW]
[ROW][C]-8[/C][C]-0.0975501396433517[/C][/ROW]
[ROW][C]-7[/C][C]0.0162205684847497[/C][/ROW]
[ROW][C]-6[/C][C]-0.109497638023538[/C][/ROW]
[ROW][C]-5[/C][C]-0.267620480621933[/C][/ROW]
[ROW][C]-4[/C][C]-0.00228478689644781[/C][/ROW]
[ROW][C]-3[/C][C]0.156401075726549[/C][/ROW]
[ROW][C]-2[/C][C]0.0399712925476565[/C][/ROW]
[ROW][C]-1[/C][C]0.191744771902580[/C][/ROW]
[ROW][C]0[/C][C]0.791416806156729[/C][/ROW]
[ROW][C]1[/C][C]0.290447678317942[/C][/ROW]
[ROW][C]2[/C][C]0.0086993975154263[/C][/ROW]
[ROW][C]3[/C][C]0.080439409707269[/C][/ROW]
[ROW][C]4[/C][C]-0.0149872146904612[/C][/ROW]
[ROW][C]5[/C][C]-0.201972177213491[/C][/ROW]
[ROW][C]6[/C][C]-0.124894976865419[/C][/ROW]
[ROW][C]7[/C][C]0.0454325382730734[/C][/ROW]
[ROW][C]8[/C][C]-0.0404612528295545[/C][/ROW]
[ROW][C]9[/C][C]-0.0510020912014525[/C][/ROW]
[ROW][C]10[/C][C]0.0280990263744799[/C][/ROW]
[ROW][C]11[/C][C]0.0491235705927618[/C][/ROW]
[ROW][C]12[/C][C]0.0365481459512124[/C][/ROW]
[ROW][C]13[/C][C]0.044611004659946[/C][/ROW]
[ROW][C]14[/C][C]0.143146359765642[/C][/ROW]
[ROW][C]15[/C][C]0.000808003064746536[/C][/ROW]
[ROW][C]16[/C][C]0.150501635832695[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3946&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3946&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 series1
Degree of seasonal differencing (D) of Y series0
krho(Y[t],X[t+k])
-160.109460454866656
-15-0.108227114601950
-140.0812524921636516
-13-0.00177896704527066
-12-0.0185375393575366
-110.121874655210915
-100.119681236480788
-9-0.0419980867444849
-8-0.0975501396433517
-70.0162205684847497
-6-0.109497638023538
-5-0.267620480621933
-4-0.00228478689644781
-30.156401075726549
-20.0399712925476565
-10.191744771902580
00.791416806156729
10.290447678317942
20.0086993975154263
30.080439409707269
4-0.0149872146904612
5-0.201972177213491
6-0.124894976865419
70.0454325382730734
8-0.0404612528295545
9-0.0510020912014525
100.0280990263744799
110.0491235705927618
120.0365481459512124
130.044611004659946
140.143146359765642
150.000808003064746536
160.150501635832695


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1.0 ; par2 = 1 ; par3 = 0 ; par4 = 12 ; par5 = 1 ; par6 = 1 ; par7 = 0 ;
Parameters (R input):
par1 = 1.0 ; par2 = 1 ; par3 = 0 ; par4 = 12 ; par5 = 1 ; par6 = 1 ; 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')