FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationMon, 30 Apr 2012 13:08:57 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Apr/30/t13358057831fzktbyzq57ar1u.htm/, Retrieved Sun, 28 Apr 2024 19:02:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=165316, Retrieved Sun, 28 Apr 2024 19:02:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact105

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [Spreidings- en ge...] [2012-04-30 17:08:57] [54d49d8a22bca19e9398641fe7fc5cc7] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
402,55
403,04
399,25
401,26
402,76
402,27
402,27
406,11
406,39
407,88
407,77
407,77
407,77
408,06
403,74
403,44
404,3
403,29
403,29
400,66
400,84
401,31
402
402
402
403,33
403,79
403,04
402,91
406,55
406,55
404,69
404,74
404,2
404,18
404,18
404,18
404,82
406,46
407,25
407,34
404,3
404,3
404,7
406,82
406,82
406,76
406,76
406,76
407,67
406,03
401,97
401,84
402,24
402,24
401,57
401,63
402,06
402,11
402,43

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'AstonUniversity' @ aston.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 & 2 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165316&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165316&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165316&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'AstonUniversity' @ aston.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1404.112.925076533575278.63
2403.3916666666672.414207317049837.39999999999998
3404.181.360060159097254.55000000000001
4405.8758333333331.281316498643863.15999999999997
5403.21252.217074751681926.10000000000002

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 404.11 & 2.92507653357527 & 8.63 \tabularnewline
2 & 403.391666666667 & 2.41420731704983 & 7.39999999999998 \tabularnewline
3 & 404.18 & 1.36006015909725 & 4.55000000000001 \tabularnewline
4 & 405.875833333333 & 1.28131649864386 & 3.15999999999997 \tabularnewline
5 & 403.2125 & 2.21707475168192 & 6.10000000000002 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165316&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]404.11[/C][C]2.92507653357527[/C][C]8.63[/C][/ROW]
[ROW][C]2[/C][C]403.391666666667[/C][C]2.41420731704983[/C][C]7.39999999999998[/C][/ROW]
[ROW][C]3[/C][C]404.18[/C][C]1.36006015909725[/C][C]4.55000000000001[/C][/ROW]
[ROW][C]4[/C][C]405.875833333333[/C][C]1.28131649864386[/C][C]3.15999999999997[/C][/ROW]
[ROW][C]5[/C][C]403.2125[/C][C]2.21707475168192[/C][C]6.10000000000002[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165316&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165316&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
1404.112.925076533575278.63
2403.3916666666672.414207317049837.39999999999998
3404.181.360060159097254.55000000000001
4405.8758333333331.281316498643863.15999999999997
5403.21252.217074751681926.10000000000002






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha167.435342038168
beta-0.409239534895507
S.D.0.306506045477045
T-STAT-1.33517606237935
p-value0.274091471880144

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 167.435342038168 \tabularnewline
beta & -0.409239534895507 \tabularnewline
S.D. & 0.306506045477045 \tabularnewline
T-STAT & -1.33517606237935 \tabularnewline
p-value & 0.274091471880144 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165316&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]167.435342038168[/C][/ROW]
[ROW][C]beta[/C][C]-0.409239534895507[/C][/ROW]
[ROW][C]S.D.[/C][C]0.306506045477045[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.33517606237935[/C][/ROW]
[ROW][C]p-value[/C][C]0.274091471880144[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165316&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165316&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)
alpha167.435342038168
beta-0.409239534895507
S.D.0.306506045477045
T-STAT-1.33517606237935
p-value0.274091471880144






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha566.702326679976
beta-94.3119898686922
S.D.59.8819196375425
T-STAT-1.57496604049353
p-value0.213340289437889
Lambda95.3119898686922

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 566.702326679976 \tabularnewline
beta & -94.3119898686922 \tabularnewline
S.D. & 59.8819196375425 \tabularnewline
T-STAT & -1.57496604049353 \tabularnewline
p-value & 0.213340289437889 \tabularnewline
Lambda & 95.3119898686922 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165316&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]566.702326679976[/C][/ROW]
[ROW][C]beta[/C][C]-94.3119898686922[/C][/ROW]
[ROW][C]S.D.[/C][C]59.8819196375425[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.57496604049353[/C][/ROW]
[ROW][C]p-value[/C][C]0.213340289437889[/C][/ROW]
[ROW][C]Lambda[/C][C]95.3119898686922[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165316&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165316&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)
alpha566.702326679976
beta-94.3119898686922
S.D.59.8819196375425
T-STAT-1.57496604049353
p-value0.213340289437889
Lambda95.3119898686922


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')