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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSun, 13 Aug 2017 13:33:34 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Aug/13/t1502624026aj2z7e4pz8g6sfo.htm/, Retrieved Fri, 10 May 2024 21:24:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=307177, Retrieved Fri, 10 May 2024 21:24:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100

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] [] [2017-08-13 11:33:34] [270a72b021b4bbf70c885af1fd2608d6] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
14741900
14195900
15014900
12011900
15560900
15287900
16379900
16925900
18836900
16379900
15560900
19382900
16379900
12284900
14468900
10919900
15287900
12557900
16652900
15014900
15833900
17744900
17471900
20747900
15014900
12557900
13922900
10100900
14468900
11192900
15833900
15014900
13376900
19109900
17198900
19655900
14741900
13649900
12284900
10100900
13376900
12011900
16379900
15833900
13649900
18290900
16925900
21839900
17471900
10646900
10646900
10646900
12557900
12557900
16925900
15560900
13922900
17471900
16106900
23204900
18290900
10646900
11192900
9281900
12830900
14741900
18563900
18290900
14741900
17198900
15287900
21839900
16652900
13376900
12011900
9008900
13376900
16106900
18836900
17744900
13103900
18836900
14741900
22658900
18836900
13649900
12557900
8462900
13376900
12830900
19382900
19382900
14741900
19109900
14195900
22112900
18836900
13922900
10646900
7370900
14468900
13922900
18290900
21020900
15560900
17471900
13103900
22658900

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=307177&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=307177&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307177&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
1158566501977073.646717667371000
2154471502696182.591773389828000
3147874002893456.583396419555000
4149239003169480.3703733211739000
5148101503745223.1666726912558000
6152424003769940.9086278112558000
7155381503691163.9978590613650000
8157201503965482.8692561113650000
9156064004325655.5467455915288000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 15856650 & 1977073.64671766 & 7371000 \tabularnewline
2 & 15447150 & 2696182.59177338 & 9828000 \tabularnewline
3 & 14787400 & 2893456.58339641 & 9555000 \tabularnewline
4 & 14923900 & 3169480.37037332 & 11739000 \tabularnewline
5 & 14810150 & 3745223.16667269 & 12558000 \tabularnewline
6 & 15242400 & 3769940.90862781 & 12558000 \tabularnewline
7 & 15538150 & 3691163.99785906 & 13650000 \tabularnewline
8 & 15720150 & 3965482.86925611 & 13650000 \tabularnewline
9 & 15606400 & 4325655.54674559 & 15288000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307177&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]15856650[/C][C]1977073.64671766[/C][C]7371000[/C][/ROW]
[ROW][C]2[/C][C]15447150[/C][C]2696182.59177338[/C][C]9828000[/C][/ROW]
[ROW][C]3[/C][C]14787400[/C][C]2893456.58339641[/C][C]9555000[/C][/ROW]
[ROW][C]4[/C][C]14923900[/C][C]3169480.37037332[/C][C]11739000[/C][/ROW]
[ROW][C]5[/C][C]14810150[/C][C]3745223.16667269[/C][C]12558000[/C][/ROW]
[ROW][C]6[/C][C]15242400[/C][C]3769940.90862781[/C][C]12558000[/C][/ROW]
[ROW][C]7[/C][C]15538150[/C][C]3691163.99785906[/C][C]13650000[/C][/ROW]
[ROW][C]8[/C][C]15720150[/C][C]3965482.86925611[/C][C]13650000[/C][/ROW]
[ROW][C]9[/C][C]15606400[/C][C]4325655.54674559[/C][C]15288000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307177&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307177&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
1158566501977073.646717667371000
2154471502696182.591773389828000
3147874002893456.583396419555000
4149239003169480.3703733211739000
5148101503745223.1666726912558000
6152424003769940.9086278112558000
7155381503691163.9978590613650000
8157201503965482.8692561113650000
9156064004325655.5467455915288000






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha5006028.72855938
beta-0.107448317059866
S.D.0.68875700161761
T-STAT-0.156003230177716
p-value0.88043412050898

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 5006028.72855938 \tabularnewline
beta & -0.107448317059866 \tabularnewline
S.D. & 0.68875700161761 \tabularnewline
T-STAT & -0.156003230177716 \tabularnewline
p-value & 0.88043412050898 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307177&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5006028.72855938[/C][/ROW]
[ROW][C]beta[/C][C]-0.107448317059866[/C][/ROW]
[ROW][C]S.D.[/C][C]0.68875700161761[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.156003230177716[/C][/ROW]
[ROW][C]p-value[/C][C]0.88043412050898[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307177&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307177&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)
alpha5006028.72855938
beta-0.107448317059866
S.D.0.68875700161761
T-STAT-0.156003230177716
p-value0.88043412050898






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha36.4501391428633
beta-1.29632676554629
S.D.3.45580511173916
T-STAT-0.375115703470299
p-value0.718681789343754
Lambda2.29632676554629

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 36.4501391428633 \tabularnewline
beta & -1.29632676554629 \tabularnewline
S.D. & 3.45580511173916 \tabularnewline
T-STAT & -0.375115703470299 \tabularnewline
p-value & 0.718681789343754 \tabularnewline
Lambda & 2.29632676554629 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307177&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]36.4501391428633[/C][/ROW]
[ROW][C]beta[/C][C]-1.29632676554629[/C][/ROW]
[ROW][C]S.D.[/C][C]3.45580511173916[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.375115703470299[/C][/ROW]
[ROW][C]p-value[/C][C]0.718681789343754[/C][/ROW]
[ROW][C]Lambda[/C][C]2.29632676554629[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307177&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307177&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)
alpha36.4501391428633
beta-1.29632676554629
S.D.3.45580511173916
T-STAT-0.375115703470299
p-value0.718681789343754
Lambda2.29632676554629


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')