FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationWed, 10 Dec 2008 13:16:35 -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/10/t1228940278keltu5qi26dkle9.htm/, Retrieved Sat, 18 May 2024 18:53:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32090, Retrieved Sat, 18 May 2024 18:53:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact185

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Law of Averages] [Random Walk Simul...] [2008-11-25 18:40:39] [b98453cac15ba1066b407e146608df68]
F RMPD  [Standard Deviation-Mean Plot] [taak 7: Q5] [2008-12-01 21:05:45] [82d201ca7b4e7cd2c6f885d29b5b6937]
-   PD      [Standard Deviation-Mean Plot] [Standard Deviatio...] [2008-12-10 20:16:35] [00a0a665d7a07edd2e460056b0c0c354] [Current]
-    D        [Standard Deviation-Mean Plot] [Standard Deviatio...] [2008-12-14 13:07:23] [82d201ca7b4e7cd2c6f885d29b5b6937]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
11703.7
16283.6
16726.5
14968.9
14861
14583.3
15305.8
17903.9
16379.4
15420.3
17870.5
15912.8
13866.5
17823.2
17872
17420.4
16704.4
15991.2
16583.6
19123.5
17838.7
17209.4
18586.5
16258.1
15141.6
19202.1
17746.5
19090.1
18040.3
17515.5
17751.8
21072.4
17170
19439.5
19795.4
17574.9
16165.4
19464.6
19932.1
19961.2
17343.4
18924.2
18574.1
21350.6
18594.6
19823.1
20844.4
19640.2
17735.4
19813.6
22160
20664.3
17877.4
21211.2
21423.1
21688.7
23243.2
21490.2
22925.8
23184.8
18562.2

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'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32090&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32090&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32090&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
115659.9751655.285401991296200.2
217106.45833333331378.403623734445257
318295.00833333331529.306348677755930.8
419218.15833333331432.819851937455185.2
521118.14166666671847.819836484625507.8

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 15659.975 & 1655.28540199129 & 6200.2 \tabularnewline
2 & 17106.4583333333 & 1378.40362373444 & 5257 \tabularnewline
3 & 18295.0083333333 & 1529.30634867775 & 5930.8 \tabularnewline
4 & 19218.1583333333 & 1432.81985193745 & 5185.2 \tabularnewline
5 & 21118.1416666667 & 1847.81983648462 & 5507.8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32090&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]15659.975[/C][C]1655.28540199129[/C][C]6200.2[/C][/ROW]
[ROW][C]2[/C][C]17106.4583333333[/C][C]1378.40362373444[/C][C]5257[/C][/ROW]
[ROW][C]3[/C][C]18295.0083333333[/C][C]1529.30634867775[/C][C]5930.8[/C][/ROW]
[ROW][C]4[/C][C]19218.1583333333[/C][C]1432.81985193745[/C][C]5185.2[/C][/ROW]
[ROW][C]5[/C][C]21118.1416666667[/C][C]1847.81983648462[/C][C]5507.8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32090&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32090&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
115659.9751655.285401991296200.2
217106.45833333331378.403623734445257
318295.00833333331529.306348677755930.8
419218.15833333331432.819851937455185.2
521118.14166666671847.819836484625507.8






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha865.75389458309
beta0.0384568100460188
S.D.0.0474921084789126
T-STAT0.809751583530858
p-value0.477350542522034

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 865.75389458309 \tabularnewline
beta & 0.0384568100460188 \tabularnewline
S.D. & 0.0474921084789126 \tabularnewline
T-STAT & 0.809751583530858 \tabularnewline
p-value & 0.477350542522034 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32090&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]865.75389458309[/C][/ROW]
[ROW][C]beta[/C][C]0.0384568100460188[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0474921084789126[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.809751583530858[/C][/ROW]
[ROW][C]p-value[/C][C]0.477350542522034[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32090&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32090&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)
alpha865.75389458309
beta0.0384568100460188
S.D.0.0474921084789126
T-STAT0.809751583530858
p-value0.477350542522034






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha3.69743976147337
beta0.372638928078595
S.D.0.557027759856632
T-STAT0.668977302270367
p-value0.551386964578972
Lambda0.627361071921405

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.69743976147337 \tabularnewline
beta & 0.372638928078595 \tabularnewline
S.D. & 0.557027759856632 \tabularnewline
T-STAT & 0.668977302270367 \tabularnewline
p-value & 0.551386964578972 \tabularnewline
Lambda & 0.627361071921405 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32090&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.69743976147337[/C][/ROW]
[ROW][C]beta[/C][C]0.372638928078595[/C][/ROW]
[ROW][C]S.D.[/C][C]0.557027759856632[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.668977302270367[/C][/ROW]
[ROW][C]p-value[/C][C]0.551386964578972[/C][/ROW]
[ROW][C]Lambda[/C][C]0.627361071921405[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32090&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32090&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)
alpha3.69743976147337
beta0.372638928078595
S.D.0.557027759856632
T-STAT0.668977302270367
p-value0.551386964578972
Lambda0.627361071921405


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')