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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_cross.wasp
Title produced by softwareCross Correlation Function
Date of computationWed, 17 Dec 2008 15:06:59 -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/2008/Dec/17/t1229551784vdmkgnji5m52ehn.htm/, Retrieved Sun, 19 May 2024 04:23:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=34586, Retrieved Sun, 19 May 2024 04:23:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact140

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] [cross2] [2008-12-17 22:06:59] [c4d631a082add458929a68f815b04b21] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
87
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
110.3
109.8
117.3
118.8
131.3
125.9
133.1
147
145.8
164.4
149.8
137.7
151.7
156.8
180
180.4
170.4
191.6
199.5
218.2
217.5
205
194
199.3
219.3
211.1
215.2
240.2
242.2
240.7
255.4
253
218.2
203.7
205.6
215.6
Dataseries Y:
Download CSV
Histogram 
117.09
116.77
119.39
122.49
124.08
118.29
112.94
113.79
114.43
118.7
120.36
118.27
118.34
117.82
117.65
118.18
121.02
124.78
131.16
130.14
131.75
134.73
135.35
140.32
136.35
131.6
128.9
133.89
138.25
146.23
144.76
149.3
156.8
159.08
165.12
163.14
153.43
151.01
154.72
154.58
155.63
161.67
163.51
162.91
164.8
164.98
154.54
148.6
149.19
150.61

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of computational 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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34586&T=0

[TABLE]
[ROW][C]Summary of computational 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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34586&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34586&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 computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






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])
-13-0.128008942487375
-120.0864844324307795
-110.262567076998020
-100.0359559794676393
-9-0.0671838224975252
-8-0.143442863565516
-70.0391437196045273
-60.0744041327292608
-5-0.228332399214688
-4-0.171317512324077
-3-0.0886290803312093
-2-0.0681479978518967
-10.539559955658432
00.683813907125528
1-0.0409175432481127
2-0.216011836271772
3-0.0225579586397011
40.0353614153172710
5-0.0634650323654622
6-0.0622932533955007
7-0.162683228959155
8-0.150510651082824
90.139014182366353
100.401366444956818
110.235101918716984
12-0.0572066293099072
13-0.071478385622878

\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
-13 & -0.128008942487375 \tabularnewline
-12 & 0.0864844324307795 \tabularnewline
-11 & 0.262567076998020 \tabularnewline
-10 & 0.0359559794676393 \tabularnewline
-9 & -0.0671838224975252 \tabularnewline
-8 & -0.143442863565516 \tabularnewline
-7 & 0.0391437196045273 \tabularnewline
-6 & 0.0744041327292608 \tabularnewline
-5 & -0.228332399214688 \tabularnewline
-4 & -0.171317512324077 \tabularnewline
-3 & -0.0886290803312093 \tabularnewline
-2 & -0.0681479978518967 \tabularnewline
-1 & 0.539559955658432 \tabularnewline
0 & 0.683813907125528 \tabularnewline
1 & -0.0409175432481127 \tabularnewline
2 & -0.216011836271772 \tabularnewline
3 & -0.0225579586397011 \tabularnewline
4 & 0.0353614153172710 \tabularnewline
5 & -0.0634650323654622 \tabularnewline
6 & -0.0622932533955007 \tabularnewline
7 & -0.162683228959155 \tabularnewline
8 & -0.150510651082824 \tabularnewline
9 & 0.139014182366353 \tabularnewline
10 & 0.401366444956818 \tabularnewline
11 & 0.235101918716984 \tabularnewline
12 & -0.0572066293099072 \tabularnewline
13 & -0.071478385622878 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34586&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]-13[/C][C]-0.128008942487375[/C][/ROW]
[ROW][C]-12[/C][C]0.0864844324307795[/C][/ROW]
[ROW][C]-11[/C][C]0.262567076998020[/C][/ROW]
[ROW][C]-10[/C][C]0.0359559794676393[/C][/ROW]
[ROW][C]-9[/C][C]-0.0671838224975252[/C][/ROW]
[ROW][C]-8[/C][C]-0.143442863565516[/C][/ROW]
[ROW][C]-7[/C][C]0.0391437196045273[/C][/ROW]
[ROW][C]-6[/C][C]0.0744041327292608[/C][/ROW]
[ROW][C]-5[/C][C]-0.228332399214688[/C][/ROW]
[ROW][C]-4[/C][C]-0.171317512324077[/C][/ROW]
[ROW][C]-3[/C][C]-0.0886290803312093[/C][/ROW]
[ROW][C]-2[/C][C]-0.0681479978518967[/C][/ROW]
[ROW][C]-1[/C][C]0.539559955658432[/C][/ROW]
[ROW][C]0[/C][C]0.683813907125528[/C][/ROW]
[ROW][C]1[/C][C]-0.0409175432481127[/C][/ROW]
[ROW][C]2[/C][C]-0.216011836271772[/C][/ROW]
[ROW][C]3[/C][C]-0.0225579586397011[/C][/ROW]
[ROW][C]4[/C][C]0.0353614153172710[/C][/ROW]
[ROW][C]5[/C][C]-0.0634650323654622[/C][/ROW]
[ROW][C]6[/C][C]-0.0622932533955007[/C][/ROW]
[ROW][C]7[/C][C]-0.162683228959155[/C][/ROW]
[ROW][C]8[/C][C]-0.150510651082824[/C][/ROW]
[ROW][C]9[/C][C]0.139014182366353[/C][/ROW]
[ROW][C]10[/C][C]0.401366444956818[/C][/ROW]
[ROW][C]11[/C][C]0.235101918716984[/C][/ROW]
[ROW][C]12[/C][C]-0.0572066293099072[/C][/ROW]
[ROW][C]13[/C][C]-0.071478385622878[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34586&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34586&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])
-13-0.128008942487375
-120.0864844324307795
-110.262567076998020
-100.0359559794676393
-9-0.0671838224975252
-8-0.143442863565516
-70.0391437196045273
-60.0744041327292608
-5-0.228332399214688
-4-0.171317512324077
-3-0.0886290803312093
-2-0.0681479978518967
-10.539559955658432
00.683813907125528
1-0.0409175432481127
2-0.216011836271772
3-0.0225579586397011
40.0353614153172710
5-0.0634650323654622
6-0.0622932533955007
7-0.162683228959155
8-0.150510651082824
90.139014182366353
100.401366444956818
110.235101918716984
12-0.0572066293099072
13-0.071478385622878


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 = 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) y <- 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')