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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, 23 Nov 2007 14:06:43 -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/23/t1195851483t9ijwquzdapnom5.htm/, Retrieved Sun, 28 Apr 2024 20:43:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6249, Retrieved Sun, 28 Apr 2024 20:43:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact208

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] [] [2007-11-23 21:06:43] [94abaf6e1c7b1fd4f9d5e2c2d987f350] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
140
132
117
114
113
110
107
103
98
98
137
148
147
139
130
128
127
123
118
114
108
111
151
159
158
148
138
137
136
133
126
120
114
116
153
162
161
149
139
135
130
127
122
117
112
113
149
157
157
147
137
132
125
123
117
114
111
112
144
150
149
134
123
116
117
111
105
102
95
93
124
130
124
Dataseries Y:
Download CSV
Histogram 
513
503
471
471
476
475
470
461
455
456
517
525
523
519
509
512
519
517
510
509
501
507
569
580
578
565
547
555
562
561
555
544
537
543
594
611
613
611
594
595
591
589
584
573
567
569
621
629
628
612
595
597
593
590
580
574
573
573
620
626
620
588
566
557
561
549
532
526
511
499
555
565
542

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6249&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6249&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6249&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






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 series1
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])
-14-0.0584392342426514
-13-0.0975290196902002
-12-0.0586136841943303
-11-0.0684543609814443
-10-0.084003400084241
-9-0.0703983032796658
-8-0.0232078418524366
-7-0.0615528409733332
-6-0.0733554548960913
-5-0.0505679924401074
-4-0.105858130133827
-3-0.177586051956375
-2-0.183317907532026
-1-0.187832612298685
0-0.151996393428437
1-0.114731084552888
2-0.0575364932319575
3-0.00884196331016708
4-0.0231218665180847
5-0.00208440200143569
6-0.0413521363968288
7-0.0442453063690854
8-0.0824608426318594
9-0.103631269002797
10-0.115929240811267
11-0.111561993740154
12-0.031119072182586
13-0.036816437653177
14-0.00544193875051098

\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 & 1 \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 & -0.0584392342426514 \tabularnewline
-13 & -0.0975290196902002 \tabularnewline
-12 & -0.0586136841943303 \tabularnewline
-11 & -0.0684543609814443 \tabularnewline
-10 & -0.084003400084241 \tabularnewline
-9 & -0.0703983032796658 \tabularnewline
-8 & -0.0232078418524366 \tabularnewline
-7 & -0.0615528409733332 \tabularnewline
-6 & -0.0733554548960913 \tabularnewline
-5 & -0.0505679924401074 \tabularnewline
-4 & -0.105858130133827 \tabularnewline
-3 & -0.177586051956375 \tabularnewline
-2 & -0.183317907532026 \tabularnewline
-1 & -0.187832612298685 \tabularnewline
0 & -0.151996393428437 \tabularnewline
1 & -0.114731084552888 \tabularnewline
2 & -0.0575364932319575 \tabularnewline
3 & -0.00884196331016708 \tabularnewline
4 & -0.0231218665180847 \tabularnewline
5 & -0.00208440200143569 \tabularnewline
6 & -0.0413521363968288 \tabularnewline
7 & -0.0442453063690854 \tabularnewline
8 & -0.0824608426318594 \tabularnewline
9 & -0.103631269002797 \tabularnewline
10 & -0.115929240811267 \tabularnewline
11 & -0.111561993740154 \tabularnewline
12 & -0.031119072182586 \tabularnewline
13 & -0.036816437653177 \tabularnewline
14 & -0.00544193875051098 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6249&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]1[/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]-0.0584392342426514[/C][/ROW]
[ROW][C]-13[/C][C]-0.0975290196902002[/C][/ROW]
[ROW][C]-12[/C][C]-0.0586136841943303[/C][/ROW]
[ROW][C]-11[/C][C]-0.0684543609814443[/C][/ROW]
[ROW][C]-10[/C][C]-0.084003400084241[/C][/ROW]
[ROW][C]-9[/C][C]-0.0703983032796658[/C][/ROW]
[ROW][C]-8[/C][C]-0.0232078418524366[/C][/ROW]
[ROW][C]-7[/C][C]-0.0615528409733332[/C][/ROW]
[ROW][C]-6[/C][C]-0.0733554548960913[/C][/ROW]
[ROW][C]-5[/C][C]-0.0505679924401074[/C][/ROW]
[ROW][C]-4[/C][C]-0.105858130133827[/C][/ROW]
[ROW][C]-3[/C][C]-0.177586051956375[/C][/ROW]
[ROW][C]-2[/C][C]-0.183317907532026[/C][/ROW]
[ROW][C]-1[/C][C]-0.187832612298685[/C][/ROW]
[ROW][C]0[/C][C]-0.151996393428437[/C][/ROW]
[ROW][C]1[/C][C]-0.114731084552888[/C][/ROW]
[ROW][C]2[/C][C]-0.0575364932319575[/C][/ROW]
[ROW][C]3[/C][C]-0.00884196331016708[/C][/ROW]
[ROW][C]4[/C][C]-0.0231218665180847[/C][/ROW]
[ROW][C]5[/C][C]-0.00208440200143569[/C][/ROW]
[ROW][C]6[/C][C]-0.0413521363968288[/C][/ROW]
[ROW][C]7[/C][C]-0.0442453063690854[/C][/ROW]
[ROW][C]8[/C][C]-0.0824608426318594[/C][/ROW]
[ROW][C]9[/C][C]-0.103631269002797[/C][/ROW]
[ROW][C]10[/C][C]-0.115929240811267[/C][/ROW]
[ROW][C]11[/C][C]-0.111561993740154[/C][/ROW]
[ROW][C]12[/C][C]-0.031119072182586[/C][/ROW]
[ROW][C]13[/C][C]-0.036816437653177[/C][/ROW]
[ROW][C]14[/C][C]-0.00544193875051098[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6249&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6249&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 series1
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])
-14-0.0584392342426514
-13-0.0975290196902002
-12-0.0586136841943303
-11-0.0684543609814443
-10-0.084003400084241
-9-0.0703983032796658
-8-0.0232078418524366
-7-0.0615528409733332
-6-0.0733554548960913
-5-0.0505679924401074
-4-0.105858130133827
-3-0.177586051956375
-2-0.183317907532026
-1-0.187832612298685
0-0.151996393428437
1-0.114731084552888
2-0.0575364932319575
3-0.00884196331016708
4-0.0231218665180847
5-0.00208440200143569
6-0.0413521363968288
7-0.0442453063690854
8-0.0824608426318594
9-0.103631269002797
10-0.115929240811267
11-0.111561993740154
12-0.031119072182586
13-0.036816437653177
14-0.00544193875051098


Figures (Output of Computation)

Input Parameters & R Code

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