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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 computationTue, 06 Dec 2011 17:25:52 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/06/t1323210385pw6gwixpbibtdci.htm/, Retrieved Mon, 29 Apr 2024 01:38:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=152003, Retrieved Mon, 29 Apr 2024 01:38:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [WS 9 Partial Auto...] [2011-12-06 20:53:20] [f5fdea4413921432bb019d1f20c4f2ec]
- R P   [(Partial) Autocorrelation Function] [WS 9 Partial Auto...] [2011-12-06 21:05:30] [f5fdea4413921432bb019d1f20c4f2ec]
- RMP     [Spectral Analysis] [WS 9 Spectral Ana...] [2011-12-06 21:16:41] [f5fdea4413921432bb019d1f20c4f2ec]
- R P       [Spectral Analysis] [WS 9 Spectral Ana...] [2011-12-06 21:35:07] [f5fdea4413921432bb019d1f20c4f2ec]
- RMP           [Standard Deviation-Mean Plot] [Ws 9 Standard Dev...] [2011-12-06 22:25:52] [6140f0163e532fc168d2f211324acd0a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1015407
1039210
1258049
1469445
1552346
1549144
1785895
1662335
1629440
1467430
1202209
1076982
1039367
1063449
1335135
1491602
1591972
1641248
1898849
1798580
1762444
1622044
1368955
1262973
1195650
1269530
1479279
1607819
1712466
1721766
1949843
1821326
1757802
1590367
1260647
1149235
1016367
1027885
1262159
1520854
1544144
1564709
1821776
1741365
1623386
1498658
1241822
1136029
1035030
1078521
1279431
1171023
1573377
1589514
1859878
1783191
1689849
1619868
1323443
1177481

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'Herman Ole Andreas Wold' @ wold.wessa.net

\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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152003&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152003&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152003&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'Herman Ole Andreas Wold' @ wold.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11392324.33333333263919.094020853770488
21489718.16666667280017.614230648859482
31542977.5268077.320340606800608
41416596.16666667271797.345768977805409
51431717.16666667286590.58098772824848

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1392324.33333333 & 263919.094020853 & 770488 \tabularnewline
2 & 1489718.16666667 & 280017.614230648 & 859482 \tabularnewline
3 & 1542977.5 & 268077.320340606 & 800608 \tabularnewline
4 & 1416596.16666667 & 271797.345768977 & 805409 \tabularnewline
5 & 1431717.16666667 & 286590.58098772 & 824848 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152003&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]1392324.33333333[/C][C]263919.094020853[/C][C]770488[/C][/ROW]
[ROW][C]2[/C][C]1489718.16666667[/C][C]280017.614230648[/C][C]859482[/C][/ROW]
[ROW][C]3[/C][C]1542977.5[/C][C]268077.320340606[/C][C]800608[/C][/ROW]
[ROW][C]4[/C][C]1416596.16666667[/C][C]271797.345768977[/C][C]805409[/C][/ROW]
[ROW][C]5[/C][C]1431717.16666667[/C][C]286590.58098772[/C][C]824848[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152003&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152003&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
11392324.33333333263919.094020853770488
21489718.16666667280017.614230648859482
31542977.5268077.320340606800608
41416596.16666667271797.345768977805409
51431717.16666667286590.58098772824848






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha263210.417363209
beta0.00747248421623648
S.D.0.0866541857449466
T-STAT0.0862333902511138
p-value0.936713906051833

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 263210.417363209 \tabularnewline
beta & 0.00747248421623648 \tabularnewline
S.D. & 0.0866541857449466 \tabularnewline
T-STAT & 0.0862333902511138 \tabularnewline
p-value & 0.936713906051833 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152003&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]263210.417363209[/C][/ROW]
[ROW][C]beta[/C][C]0.00747248421623648[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0866541857449466[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0862333902511138[/C][/ROW]
[ROW][C]p-value[/C][C]0.936713906051833[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152003&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152003&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)
alpha263210.417363209
beta0.00747248421623648
S.D.0.0866541857449466
T-STAT0.0862333902511138
p-value0.936713906051833






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha11.7605074353262
beta0.0535761869675305
S.D.0.461565105659378
T-STAT0.116075037542089
p-value0.914927086752009
Lambda0.94642381303247

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 11.7605074353262 \tabularnewline
beta & 0.0535761869675305 \tabularnewline
S.D. & 0.461565105659378 \tabularnewline
T-STAT & 0.116075037542089 \tabularnewline
p-value & 0.914927086752009 \tabularnewline
Lambda & 0.94642381303247 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152003&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]11.7605074353262[/C][/ROW]
[ROW][C]beta[/C][C]0.0535761869675305[/C][/ROW]
[ROW][C]S.D.[/C][C]0.461565105659378[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.116075037542089[/C][/ROW]
[ROW][C]p-value[/C][C]0.914927086752009[/C][/ROW]
[ROW][C]Lambda[/C][C]0.94642381303247[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152003&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152003&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)
alpha11.7605074353262
beta0.0535761869675305
S.D.0.461565105659378
T-STAT0.116075037542089
p-value0.914927086752009
Lambda0.94642381303247


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')