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 computationSat, 19 Dec 2015 16:07:56 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/19/t14505413614fcw221z78u8ptd.htm/, Retrieved Thu, 16 May 2024 15:44:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286970, Retrieved Thu, 16 May 2024 15:44:13 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact132

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] [] [2015-12-19 16:07:56] [8aa55f6911a2665ef714ed6a33cc0dc2] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13.975
13.825
13.775
12.475
12.35
12.275
11.05
11.05
11.075
14.675
14.75
14.675
11.375
11.325
11.35
12.425
12.425
12.4
11.225
11.25
11.225
13.975
14.025
13.975
14.225
14.35
14.425
15.175
15.15
15.075
14.7
14.625
14.625
15.825
15.825
15.85
15.675
15.65
15.7
16.775
16.725
16.675
15.125
15.075
15.125
14.3
14.375
14.3
14.675
14.625
14.7
14.025
14.075
14.025
13.65
13.55
13.575
15.275
15.275
15.175

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=286970&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=286970&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286970&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
112.99583333333331.459756880961743.7
212.24791666666671.156722364609542.8
314.98750.5928072659351051.625
415.45833333333330.9138662457665862.475
514.38541666666670.6535269985844411.725

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 12.9958333333333 & 1.45975688096174 & 3.7 \tabularnewline
2 & 12.2479166666667 & 1.15672236460954 & 2.8 \tabularnewline
3 & 14.9875 & 0.592807265935105 & 1.625 \tabularnewline
4 & 15.4583333333333 & 0.913866245766586 & 2.475 \tabularnewline
5 & 14.3854166666667 & 0.653526998584441 & 1.725 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286970&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]12.9958333333333[/C][C]1.45975688096174[/C][C]3.7[/C][/ROW]
[ROW][C]2[/C][C]12.2479166666667[/C][C]1.15672236460954[/C][C]2.8[/C][/ROW]
[ROW][C]3[/C][C]14.9875[/C][C]0.592807265935105[/C][C]1.625[/C][/ROW]
[ROW][C]4[/C][C]15.4583333333333[/C][C]0.913866245766586[/C][C]2.475[/C][/ROW]
[ROW][C]5[/C][C]14.3854166666667[/C][C]0.653526998584441[/C][C]1.725[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286970&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286970&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
112.99583333333331.459756880961743.7
212.24791666666671.156722364609542.8
314.98750.5928072659351051.625
415.45833333333330.9138662457665862.475
514.38541666666670.6535269985844411.725






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha3.62190987770539
beta-0.190265710063068
S.D.0.107486633369235
T-STAT-1.77013368173392
p-value0.174843029391923

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 3.62190987770539 \tabularnewline
beta & -0.190265710063068 \tabularnewline
S.D. & 0.107486633369235 \tabularnewline
T-STAT & -1.77013368173392 \tabularnewline
p-value & 0.174843029391923 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286970&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.62190987770539[/C][/ROW]
[ROW][C]beta[/C][C]-0.190265710063068[/C][/ROW]
[ROW][C]S.D.[/C][C]0.107486633369235[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.77013368173392[/C][/ROW]
[ROW][C]p-value[/C][C]0.174843029391923[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286970&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286970&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)
alpha3.62190987770539
beta-0.190265710063068
S.D.0.107486633369235
T-STAT-1.77013368173392
p-value0.174843029391923






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha7.08223931969457
beta-2.72544773061498
S.D.1.57534710436316
T-STAT-1.73006172612146
p-value0.182056079955361
Lambda3.72544773061498

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 7.08223931969457 \tabularnewline
beta & -2.72544773061498 \tabularnewline
S.D. & 1.57534710436316 \tabularnewline
T-STAT & -1.73006172612146 \tabularnewline
p-value & 0.182056079955361 \tabularnewline
Lambda & 3.72544773061498 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286970&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7.08223931969457[/C][/ROW]
[ROW][C]beta[/C][C]-2.72544773061498[/C][/ROW]
[ROW][C]S.D.[/C][C]1.57534710436316[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.73006172612146[/C][/ROW]
[ROW][C]p-value[/C][C]0.182056079955361[/C][/ROW]
[ROW][C]Lambda[/C][C]3.72544773061498[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286970&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286970&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)
alpha7.08223931969457
beta-2.72544773061498
S.D.1.57534710436316
T-STAT-1.73006172612146
p-value0.182056079955361
Lambda3.72544773061498


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')