Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_autocorrelation.wasp

Title produced by software

(Partial) Autocorrelation Function

Date of computation

Tue, 27 Nov 2007 09:36:59 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Nov/27/t1196180865kmxp3aktnfd6fgl.htm/, Retrieved Sun, 05 May 2024 18:02:55 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6880, Retrieved Sun, 05 May 2024 18:02:55 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

groep MENS

Estimated Impact

174

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [(Partial) Autocorrelation Function] [Voeding_Q2_autoco...] [2007-11-27 16:36:59] [183840e644503a44411d430a3cdac4ba] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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=6880&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=6880&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6880&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Autocorrelation Function
Time lag k	ACF(k)	T-STAT	P-value
0	1	8.544	0
1	0.912351	7.7951	0
2	0.823931	7.0397	0
3	0.736937	6.2964	0
4	0.650245	5.5557	0
5	0.558208	4.7693	5e-06
6	0.473562	4.0461	6.4e-05
7	0.400497	3.4218	0.000511
8	0.333595	2.8502	0.002838
9	0.273868	2.3399	0.011012
10	0.237898	2.0326	0.022866
11	0.214159	1.8298	0.035683
12	0.19637	1.6778	0.048833
13	0.173804	1.485	0.070927
14	0.160987	1.3755	0.086596
15	0.149734	1.2793	0.102417
16	0.138001	1.1791	0.121098
17	0.119578	1.0217	0.155155

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
0 & 1 & 8.544 & 0 \tabularnewline
1 & 0.912351 & 7.7951 & 0 \tabularnewline
2 & 0.823931 & 7.0397 & 0 \tabularnewline
3 & 0.736937 & 6.2964 & 0 \tabularnewline
4 & 0.650245 & 5.5557 & 0 \tabularnewline
5 & 0.558208 & 4.7693 & 5e-06 \tabularnewline
6 & 0.473562 & 4.0461 & 6.4e-05 \tabularnewline
7 & 0.400497 & 3.4218 & 0.000511 \tabularnewline
8 & 0.333595 & 2.8502 & 0.002838 \tabularnewline
9 & 0.273868 & 2.3399 & 0.011012 \tabularnewline
10 & 0.237898 & 2.0326 & 0.022866 \tabularnewline
11 & 0.214159 & 1.8298 & 0.035683 \tabularnewline
12 & 0.19637 & 1.6778 & 0.048833 \tabularnewline
13 & 0.173804 & 1.485 & 0.070927 \tabularnewline
14 & 0.160987 & 1.3755 & 0.086596 \tabularnewline
15 & 0.149734 & 1.2793 & 0.102417 \tabularnewline
16 & 0.138001 & 1.1791 & 0.121098 \tabularnewline
17 & 0.119578 & 1.0217 & 0.155155 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6880&T=1

[TABLE]
[ROW][C]Autocorrelation Function[/C][/ROW]
[ROW][C]Time lag k[/C][C]ACF(k)[/C][C]T-STAT[/C][C]P-value[/C][/ROW]
[ROW][C]0[/C][C]1[/C][C]8.544[/C][C]0[/C][/ROW]
[ROW][C]1[/C][C]0.912351[/C][C]7.7951[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.823931[/C][C]7.0397[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.736937[/C][C]6.2964[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0.650245[/C][C]5.5557[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.558208[/C][C]4.7693[/C][C]5e-06[/C][/ROW]
[ROW][C]6[/C][C]0.473562[/C][C]4.0461[/C][C]6.4e-05[/C][/ROW]
[ROW][C]7[/C][C]0.400497[/C][C]3.4218[/C][C]0.000511[/C][/ROW]
[ROW][C]8[/C][C]0.333595[/C][C]2.8502[/C][C]0.002838[/C][/ROW]
[ROW][C]9[/C][C]0.273868[/C][C]2.3399[/C][C]0.011012[/C][/ROW]
[ROW][C]10[/C][C]0.237898[/C][C]2.0326[/C][C]0.022866[/C][/ROW]
[ROW][C]11[/C][C]0.214159[/C][C]1.8298[/C][C]0.035683[/C][/ROW]
[ROW][C]12[/C][C]0.19637[/C][C]1.6778[/C][C]0.048833[/C][/ROW]
[ROW][C]13[/C][C]0.173804[/C][C]1.485[/C][C]0.070927[/C][/ROW]
[ROW][C]14[/C][C]0.160987[/C][C]1.3755[/C][C]0.086596[/C][/ROW]
[ROW][C]15[/C][C]0.149734[/C][C]1.2793[/C][C]0.102417[/C][/ROW]
[ROW][C]16[/C][C]0.138001[/C][C]1.1791[/C][C]0.121098[/C][/ROW]
[ROW][C]17[/C][C]0.119578[/C][C]1.0217[/C][C]0.155155[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6880&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6880&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Autocorrelation Function
Time lag k	ACF(k)	T-STAT	P-value
0	1	8.544	0
1	0.912351	7.7951	0
2	0.823931	7.0397	0
3	0.736937	6.2964	0
4	0.650245	5.5557	0
5	0.558208	4.7693	5e-06
6	0.473562	4.0461	6.4e-05
7	0.400497	3.4218	0.000511
8	0.333595	2.8502	0.002838
9	0.273868	2.3399	0.011012
10	0.237898	2.0326	0.022866
11	0.214159	1.8298	0.035683
12	0.19637	1.6778	0.048833
13	0.173804	1.485	0.070927
14	0.160987	1.3755	0.086596
15	0.149734	1.2793	0.102417
16	0.138001	1.1791	0.121098
17	0.119578	1.0217	0.155155

Partial Autocorrelation Function
Time lag k	PACF(k)	T-STAT	P-value
0	0.912351	7.7951	0
1	-0.050432	-0.4309	0.666092
2	-0.039927	-0.3411	0.63301
3	-0.048357	-0.4132	0.65965
4	-0.084582	-0.7227	0.763905
5	-0.014121	-0.1207	0.54785
6	0.011637	0.0994	0.460535
7	-0.015796	-0.135	0.553493
8	-0.006593	-0.0563	0.522383
9	0.091752	0.7839	0.21781
10	0.034612	0.2957	0.38414
11	0.009931	0.0848	0.466307
12	-0.051687	-0.4416	0.669964
13	0.027073	0.2313	0.408861
14	-0.005455	-0.0466	0.518524
15	-0.005389	-0.046	0.518299
16	-0.04225	-0.361	0.640422
17	-0.043883	-0.3749	0.645604

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
0 & 0.912351 & 7.7951 & 0 \tabularnewline
1 & -0.050432 & -0.4309 & 0.666092 \tabularnewline
2 & -0.039927 & -0.3411 & 0.63301 \tabularnewline
3 & -0.048357 & -0.4132 & 0.65965 \tabularnewline
4 & -0.084582 & -0.7227 & 0.763905 \tabularnewline
5 & -0.014121 & -0.1207 & 0.54785 \tabularnewline
6 & 0.011637 & 0.0994 & 0.460535 \tabularnewline
7 & -0.015796 & -0.135 & 0.553493 \tabularnewline
8 & -0.006593 & -0.0563 & 0.522383 \tabularnewline
9 & 0.091752 & 0.7839 & 0.21781 \tabularnewline
10 & 0.034612 & 0.2957 & 0.38414 \tabularnewline
11 & 0.009931 & 0.0848 & 0.466307 \tabularnewline
12 & -0.051687 & -0.4416 & 0.669964 \tabularnewline
13 & 0.027073 & 0.2313 & 0.408861 \tabularnewline
14 & -0.005455 & -0.0466 & 0.518524 \tabularnewline
15 & -0.005389 & -0.046 & 0.518299 \tabularnewline
16 & -0.04225 & -0.361 & 0.640422 \tabularnewline
17 & -0.043883 & -0.3749 & 0.645604 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6880&T=2

[TABLE]
[ROW][C]Partial Autocorrelation Function[/C][/ROW]
[ROW][C]Time lag k[/C][C]PACF(k)[/C][C]T-STAT[/C][C]P-value[/C][/ROW]
[ROW][C]0[/C][C]0.912351[/C][C]7.7951[/C][C]0[/C][/ROW]
[ROW][C]1[/C][C]-0.050432[/C][C]-0.4309[/C][C]0.666092[/C][/ROW]
[ROW][C]2[/C][C]-0.039927[/C][C]-0.3411[/C][C]0.63301[/C][/ROW]
[ROW][C]3[/C][C]-0.048357[/C][C]-0.4132[/C][C]0.65965[/C][/ROW]
[ROW][C]4[/C][C]-0.084582[/C][C]-0.7227[/C][C]0.763905[/C][/ROW]
[ROW][C]5[/C][C]-0.014121[/C][C]-0.1207[/C][C]0.54785[/C][/ROW]
[ROW][C]6[/C][C]0.011637[/C][C]0.0994[/C][C]0.460535[/C][/ROW]
[ROW][C]7[/C][C]-0.015796[/C][C]-0.135[/C][C]0.553493[/C][/ROW]
[ROW][C]8[/C][C]-0.006593[/C][C]-0.0563[/C][C]0.522383[/C][/ROW]
[ROW][C]9[/C][C]0.091752[/C][C]0.7839[/C][C]0.21781[/C][/ROW]
[ROW][C]10[/C][C]0.034612[/C][C]0.2957[/C][C]0.38414[/C][/ROW]
[ROW][C]11[/C][C]0.009931[/C][C]0.0848[/C][C]0.466307[/C][/ROW]
[ROW][C]12[/C][C]-0.051687[/C][C]-0.4416[/C][C]0.669964[/C][/ROW]
[ROW][C]13[/C][C]0.027073[/C][C]0.2313[/C][C]0.408861[/C][/ROW]
[ROW][C]14[/C][C]-0.005455[/C][C]-0.0466[/C][C]0.518524[/C][/ROW]
[ROW][C]15[/C][C]-0.005389[/C][C]-0.046[/C][C]0.518299[/C][/ROW]
[ROW][C]16[/C][C]-0.04225[/C][C]-0.361[/C][C]0.640422[/C][/ROW]
[ROW][C]17[/C][C]-0.043883[/C][C]-0.3749[/C][C]0.645604[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6880&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6880&T=2

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Partial Autocorrelation Function
Time lag k	PACF(k)	T-STAT	P-value
0	0.912351	7.7951	0
1	-0.050432	-0.4309	0.666092
2	-0.039927	-0.3411	0.63301
3	-0.048357	-0.4132	0.65965
4	-0.084582	-0.7227	0.763905
5	-0.014121	-0.1207	0.54785
6	0.011637	0.0994	0.460535
7	-0.015796	-0.135	0.553493
8	-0.006593	-0.0563	0.522383
9	0.091752	0.7839	0.21781
10	0.034612	0.2957	0.38414
11	0.009931	0.0848	0.466307
12	-0.051687	-0.4416	0.669964
13	0.027073	0.2313	0.408861
14	-0.005455	-0.0466	0.518524
15	-0.005389	-0.046	0.518299
16	-0.04225	-0.361	0.640422
17	-0.043883	-0.3749	0.645604

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = Default ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ;

Parameters (R input):

par1 = Default ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ;

R code (references can be found in the software module):

if (par1 == 'Default') {
par1 = 10*log10(length(x))
} else {
par1 <- as.numeric(par1)
}
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
par5 <- as.numeric(par5)
if (par2 == 0) {
x <- log(x)
} else {
x <- (x ^ par2 - 1) / par2
}
if (par3 > 0) x <- diff(x,lag=1,difference=par3)
if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
bitmap(file='pic1.png')
racf <- acf(x,par1,main='Autocorrelation',xlab='lags',ylab='ACF')
dev.off()
bitmap(file='pic2.png')
rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF')
dev.off()
(myacf <- c(racf$acf))
(mypacf <- c(rpacf$acf))
lengthx <- length(x)
sqrtn <- sqrt(lengthx)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('basics.htm','ACF(k)','click here for more information about the Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:par1) {
a<-table.row.start(a)
a<-table.element(a,i-1,header=TRUE)
a<-table.element(a,round(myacf[i],6))
mytstat <- myacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(mytstat,lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Partial Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('basics.htm','PACF(k)','click here for more information about the Partial Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:par1) {
a<-table.row.start(a)
a<-table.element(a,i-1,header=TRUE)
a<-table.element(a,round(mypacf[i],6))
mytstat <- mypacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(mytstat,lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code