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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationThu, 17 Dec 2009 05:17:22 -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/2009/Dec/17/t12610523699vz6l5do5u1kq7i.htm/, Retrieved Tue, 30 Apr 2024 01:19:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=68787, Retrieved Tue, 30 Apr 2024 01:19:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact152

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [(Partial) Autocorrelation Function] [Identifying Integ...] [2009-11-22 12:16:10] [b98453cac15ba1066b407e146608df68]
-    D        [(Partial) Autocorrelation Function] [ws8] [2009-11-24 20:12:27] [8b1aef4e7013bd33fbc2a5833375c5f5]
-    D          [(Partial) Autocorrelation Function] [SHw WS8] [2009-11-25 18:52:43] [af2352cd9a951bedd08ebe247d0de1a2]
- RMPD            [Bivariate Granger Causality] [] [2009-12-11 18:26:06] [09f192433169b2c787c4a71fde86e883]
- RMPD                [Standard Deviation-Mean Plot] [] [2009-12-17 12:17:22] [71596e6a53ccce532e52aaf6113616ef] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1322.4
1089.2
1147.3
1196.4
1190.2
1146
1139.8
1045.6
1050.9
1117.3
1120
1052.1
1065.8
1092.5
1422
1367.5
1136.3
1293.7
1154.8
1206.7
1199
1265
1247.1
1116.5
1153.9
1077.4
1132.5
1058.8
1195.1
1263.4
1023.1
1141
1116.3
1135.6
1210.5
1230
1136.5
1068.7
1372.5
1049.9
1302.2
1305.9
1173.5
1277.4
1238.6
1508.6
1423.4
1375.1
1344.1
1287.5
1446.9
1451
1604.4
1501.5
1522.8
1328
1420.5
1648
1631.1
1396.6
1663.4
1283
1582.4
1785.2
1853.6
1994.1
2042.8
1586.1
1942.4
1763.6
1819.9
1836
1449.9
1513.3
1677.7
1494.4
1375.3
1577.7
1537.7
1356.6
1469.6

Tables (Output of Computation)





Summary of computational 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 computational 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=68787&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]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=68787&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68787&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11134.7666666666777.9300074464648276.8
21213.90833333333109.928410244067356.2
31144.871.3930605234787240.3
41269.35833333333141.894778290325458.7
51465.2119.566512490291360.5
61762.70833333333210.059924170281759.8

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1134.76666666667 & 77.9300074464648 & 276.8 \tabularnewline
2 & 1213.90833333333 & 109.928410244067 & 356.2 \tabularnewline
3 & 1144.8 & 71.3930605234787 & 240.3 \tabularnewline
4 & 1269.35833333333 & 141.894778290325 & 458.7 \tabularnewline
5 & 1465.2 & 119.566512490291 & 360.5 \tabularnewline
6 & 1762.70833333333 & 210.059924170281 & 759.8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=68787&T=1

[TABLE]
[ROW][C]Standard Deviation-Mean Plot[/C][/ROW]
[ROW][C]Section[/C][C]Mean[/C][C]Standard Deviation[/C][C]Range[/C][/ROW]
[ROW][C]1[/C][C]1134.76666666667[/C][C]77.9300074464648[/C][C]276.8[/C][/ROW]
[ROW][C]2[/C][C]1213.90833333333[/C][C]109.928410244067[/C][C]356.2[/C][/ROW]
[ROW][C]3[/C][C]1144.8[/C][C]71.3930605234787[/C][C]240.3[/C][/ROW]
[ROW][C]4[/C][C]1269.35833333333[/C][C]141.894778290325[/C][C]458.7[/C][/ROW]
[ROW][C]5[/C][C]1465.2[/C][C]119.566512490291[/C][C]360.5[/C][/ROW]
[ROW][C]6[/C][C]1762.70833333333[/C][C]210.059924170281[/C][C]759.8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=68787&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68787&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:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11134.7666666666777.9300074464648276.8
21213.90833333333109.928410244067356.2
31144.871.3930605234787240.3
41269.35833333333141.894778290325458.7
51465.2119.566512490291360.5
61762.70833333333210.059924170281759.8






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-130.731020491589
beta0.189614291053222
S.D.0.0431375311792092
T-STAT4.39557586792565
p-value0.0117315296096706

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -130.731020491589 \tabularnewline
beta & 0.189614291053222 \tabularnewline
S.D. & 0.0431375311792092 \tabularnewline
T-STAT & 4.39557586792565 \tabularnewline
p-value & 0.0117315296096706 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=68787&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-130.731020491589[/C][/ROW]
[ROW][C]beta[/C][C]0.189614291053222[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0431375311792092[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.39557586792565[/C][/ROW]
[ROW][C]p-value[/C][C]0.0117315296096706[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=68787&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68787&T=2

As an alternative you can also use a QR Code:  
QR Code


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

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-130.731020491589
beta0.189614291053222
S.D.0.0431375311792092
T-STAT4.39557586792565
p-value0.0117315296096706






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-10.0249673211373
beta2.05526231329609
S.D.0.541564646316196
T-STAT3.7950452033313
p-value0.0191853101243930
Lambda-1.05526231329609

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -10.0249673211373 \tabularnewline
beta & 2.05526231329609 \tabularnewline
S.D. & 0.541564646316196 \tabularnewline
T-STAT & 3.7950452033313 \tabularnewline
p-value & 0.0191853101243930 \tabularnewline
Lambda & -1.05526231329609 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=68787&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-10.0249673211373[/C][/ROW]
[ROW][C]beta[/C][C]2.05526231329609[/C][/ROW]
[ROW][C]S.D.[/C][C]0.541564646316196[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.7950452033313[/C][/ROW]
[ROW][C]p-value[/C][C]0.0191853101243930[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.05526231329609[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=68787&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68787&T=3

As an alternative you can also use a QR Code:  
QR Code


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

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-10.0249673211373
beta2.05526231329609
S.D.0.541564646316196
T-STAT3.7950452033313
p-value0.0191853101243930
Lambda-1.05526231329609


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
(n <- length(x))
(np <- floor(n / par1))
arr <- array(NA,dim=c(par1,np))
j <- 0
k <- 1
for (i in 1:(np*par1))
{
j = j + 1
arr[j,k] <- x[i]
if (j == par1) {
j = 0
k=k+1
}
}
arr
arr.mean <- array(NA,dim=np)
arr.sd <- array(NA,dim=np)
arr.range <- array(NA,dim=np)
for (j in 1:np)
{
arr.mean[j] <- mean(arr[,j],na.rm=TRUE)
arr.sd[j] <- sd(arr[,j],na.rm=TRUE)
arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)
}
arr.mean
arr.sd
arr.range
(lm1 <- lm(arr.sd~arr.mean))
(lnlm1 <- lm(log(arr.sd)~log(arr.mean)))
(lm2 <- lm(arr.range~arr.mean))
bitmap(file='test1.png')
plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
dev.off()
bitmap(file='test2.png')
plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Section',header=TRUE)
a<-table.element(a,'Mean',header=TRUE)
a<-table.element(a,'Standard Deviation',header=TRUE)
a<-table.element(a,'Range',header=TRUE)
a<-table.row.end(a)
for (j in 1:np) {
a<-table.row.start(a)
a<-table.element(a,j,header=TRUE)
a<-table.element(a,arr.mean[j])
a<-table.element(a,arr.sd[j] )
a<-table.element(a,arr.range[j] )
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,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Lambda',header=TRUE)
a<-table.element(a,1-lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')