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 computationTue, 03 May 2016 14:52:06 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/May/03/t1462283620qvumhi4b6hdiqbd.htm/, Retrieved Sun, 28 Apr 2024 21:49:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=295237, Retrieved Sun, 28 Apr 2024 21:49:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact83

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] [] [2016-05-03 13:52:06] [dce1b7f6243247e331d0750a8103b593] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10670,5
11129
13474,5
12317,8
11990,1
13478,3
11762,4
11149,1
13597,2
13367,9
13304,2
12407,2
13008,3
13379,5
15696
13529,6
14857
14375,1
12958,4
12612,8
14405,2
13655,8
13783,1
12336,1
13366,7
14042,4
15412
13566,5
13981,5
14042
13131
12771,2
13600,1
14886,9
13813,1
11551
13750,5
13415,4
15040,9
14349,5
13900,2
13956,6
13951
11802,1
14219,1
14914,5
14098,2
12773,6
14225
13513
14754,4
14447,7
13777,8
14328,6
14106,1
12157
15425,1
15448,8
13604,5
12269,3

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295237&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295237&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295237&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'Gertrude Mary Cox' @ cox.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
112387.351055.538607450332926.7
213716.4083333333976.2527340977513359.9
313680.3666666667981.8724323115163861
413847.6333333333882.8707064131333238.8
514004.7751040.279955435953291.8

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 12387.35 & 1055.53860745033 & 2926.7 \tabularnewline
2 & 13716.4083333333 & 976.252734097751 & 3359.9 \tabularnewline
3 & 13680.3666666667 & 981.872432311516 & 3861 \tabularnewline
4 & 13847.6333333333 & 882.870706413133 & 3238.8 \tabularnewline
5 & 14004.775 & 1040.27995543595 & 3291.8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295237&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]12387.35[/C][C]1055.53860745033[/C][C]2926.7[/C][/ROW]
[ROW][C]2[/C][C]13716.4083333333[/C][C]976.252734097751[/C][C]3359.9[/C][/ROW]
[ROW][C]3[/C][C]13680.3666666667[/C][C]981.872432311516[/C][C]3861[/C][/ROW]
[ROW][C]4[/C][C]13847.6333333333[/C][C]882.870706413133[/C][C]3238.8[/C][/ROW]
[ROW][C]5[/C][C]14004.775[/C][C]1040.27995543595[/C][C]3291.8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295237&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295237&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
112387.351055.538607450332926.7
213716.4083333333976.2527340977513359.9
313680.3666666667981.8724323115163861
413847.6333333333882.8707064131333238.8
514004.7751040.279955435953291.8






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha1698.96585981014
beta-0.0526049264797033
S.D.0.0522692344863552
T-STAT-1.00642236291859
p-value0.388355111789589

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1698.96585981014 \tabularnewline
beta & -0.0526049264797033 \tabularnewline
S.D. & 0.0522692344863552 \tabularnewline
T-STAT & -1.00642236291859 \tabularnewline
p-value & 0.388355111789589 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295237&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1698.96585981014[/C][/ROW]
[ROW][C]beta[/C][C]-0.0526049264797033[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0522692344863552[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.00642236291859[/C][/ROW]
[ROW][C]p-value[/C][C]0.388355111789589[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295237&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295237&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)
alpha1698.96585981014
beta-0.0526049264797033
S.D.0.0522692344863552
T-STAT-1.00642236291859
p-value0.388355111789589






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha13.5929237432765
beta-0.704393456589756
S.D.0.712898454416529
T-STAT-0.988069832703266
p-value0.395964787667201
Lambda1.70439345658976

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 13.5929237432765 \tabularnewline
beta & -0.704393456589756 \tabularnewline
S.D. & 0.712898454416529 \tabularnewline
T-STAT & -0.988069832703266 \tabularnewline
p-value & 0.395964787667201 \tabularnewline
Lambda & 1.70439345658976 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295237&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]13.5929237432765[/C][/ROW]
[ROW][C]beta[/C][C]-0.704393456589756[/C][/ROW]
[ROW][C]S.D.[/C][C]0.712898454416529[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.988069832703266[/C][/ROW]
[ROW][C]p-value[/C][C]0.395964787667201[/C][/ROW]
[ROW][C]Lambda[/C][C]1.70439345658976[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295237&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295237&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)
alpha13.5929237432765
beta-0.704393456589756
S.D.0.712898454416529
T-STAT-0.988069832703266
p-value0.395964787667201
Lambda1.70439345658976


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')