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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 computationSat, 17 Dec 2016 11:41:10 +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/Dec/17/t1481971325kqemqi4cpnbg3db.htm/, Retrieved Thu, 02 May 2024 09:29:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300675, Retrieved Thu, 02 May 2024 09:29:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact61

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] [N1374] [2016-12-17 10:41:10] [63af9ed1c5670c0e3049894fd77d93e0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3740
3790
3865
3910
3975
4020
4060
4100
4165
4195
4230
4280
4325
4355
4400
4420
4465
4485
4520
4545
4570
4605
4645
4690
4765
4820
4855
4890
4940
5000
5055
5100
5180
5240
5290
5325
5400
5460
5515
5555

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300675&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300675&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300675&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
14027.5175.842129609074540
24502.08333333333114.781577816567365
35038.33333333333190.565347099496560

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 4027.5 & 175.842129609074 & 540 \tabularnewline
2 & 4502.08333333333 & 114.781577816567 & 365 \tabularnewline
3 & 5038.33333333333 & 190.565347099496 & 560 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300675&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]4027.5[/C][C]175.842129609074[/C][C]540[/C][/ROW]
[ROW][C]2[/C][C]4502.08333333333[/C][C]114.781577816567[/C][C]365[/C][/ROW]
[ROW][C]3[/C][C]5038.33333333333[/C][C]190.565347099496[/C][C]560[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300675&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300675&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
14027.5175.842129609074540
24502.08333333333114.781577816567365
35038.33333333333190.565347099496560






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha82.1686814004395
beta0.0172969082939891
S.D.0.0775511418030947
T-STAT0.223038731498069
p-value0.86029576669504

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 82.1686814004395 \tabularnewline
beta & 0.0172969082939891 \tabularnewline
S.D. & 0.0775511418030947 \tabularnewline
T-STAT & 0.223038731498069 \tabularnewline
p-value & 0.86029576669504 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300675&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]82.1686814004395[/C][/ROW]
[ROW][C]beta[/C][C]0.0172969082939891[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0775511418030947[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.223038731498069[/C][/ROW]
[ROW][C]p-value[/C][C]0.86029576669504[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300675&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300675&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)
alpha82.1686814004395
beta0.0172969082939891
S.D.0.0775511418030947
T-STAT0.223038731498069
p-value0.86029576669504






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.97385995898293
beta0.366155119485493
S.D.2.40578728534028
T-STAT0.152197628492206
p-value0.903845890797545
Lambda0.633844880514507

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.97385995898293 \tabularnewline
beta & 0.366155119485493 \tabularnewline
S.D. & 2.40578728534028 \tabularnewline
T-STAT & 0.152197628492206 \tabularnewline
p-value & 0.903845890797545 \tabularnewline
Lambda & 0.633844880514507 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300675&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.97385995898293[/C][/ROW]
[ROW][C]beta[/C][C]0.366155119485493[/C][/ROW]
[ROW][C]S.D.[/C][C]2.40578728534028[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.152197628492206[/C][/ROW]
[ROW][C]p-value[/C][C]0.903845890797545[/C][/ROW]
[ROW][C]Lambda[/C][C]0.633844880514507[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300675&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300675&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)
alpha1.97385995898293
beta0.366155119485493
S.D.2.40578728534028
T-STAT0.152197628492206
p-value0.903845890797545
Lambda0.633844880514507


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')