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 computationFri, 16 Dec 2016 10:27:02 +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/16/t1481880454c7d59jwegj4fbvq.htm/, Retrieved Thu, 02 May 2024 18:01:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300166, Retrieved Thu, 02 May 2024 18:01:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact79

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] [Standard Deviatio...] [2016-12-16 09:27:02] [f9bc84b6ee189f10a7b2ad2152f37fb9] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
9137.8
9009.4
8926.6
9145
9186.2
9152.2
9093.6
9199.2
9310.6
9282
9248.4
9341.6
9478.8
9438
9374.6
9488.8
9631.8
9588.4
9514.6
9623.2
9744.6
9685.8
9598
9703.4
9817.8
9762.6
9669.6
9789.2
9917.4
9864.4
9779.2
9898.8
10048.8
9983.4
9913.4
10031.6
10184.6
10125
10065.4
10188.6
10350.4
10320.6
10232.6
10357.2
10520.2
10473.8
10407
10536
10700.2
10664.2
10606
10716.6
10882.8
10849.4
10794
10907.8

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300166&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]0 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300166&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300166&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 time0 seconds
R ServerBig Analytics Cloud Computing Center






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
19054.7105.706196601713218.4
29157.847.1646760475113105.6
39295.6539.806992685540793.2000000000007
49445.0551.8524509224647114.199999999999
59589.553.3422909144328117.199999999999
69682.9561.7617735064876146.6
79759.864.2190003036482148.199999999999
89864.9561.2377606818968138.199999999999
99994.360.6222181492342135.4
1010140.958.132148305965123.200000000001
1110315.257.3148032070831124.6
1210484.2557.8712075791294129
1310671.7548.9931627882914110.6
1410858.549.207181047756113.799999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 9054.7 & 105.706196601713 & 218.4 \tabularnewline
2 & 9157.8 & 47.1646760475113 & 105.6 \tabularnewline
3 & 9295.65 & 39.8069926855407 & 93.2000000000007 \tabularnewline
4 & 9445.05 & 51.8524509224647 & 114.199999999999 \tabularnewline
5 & 9589.5 & 53.3422909144328 & 117.199999999999 \tabularnewline
6 & 9682.95 & 61.7617735064876 & 146.6 \tabularnewline
7 & 9759.8 & 64.2190003036482 & 148.199999999999 \tabularnewline
8 & 9864.95 & 61.2377606818968 & 138.199999999999 \tabularnewline
9 & 9994.3 & 60.6222181492342 & 135.4 \tabularnewline
10 & 10140.9 & 58.132148305965 & 123.200000000001 \tabularnewline
11 & 10315.2 & 57.3148032070831 & 124.6 \tabularnewline
12 & 10484.25 & 57.8712075791294 & 129 \tabularnewline
13 & 10671.75 & 48.9931627882914 & 110.6 \tabularnewline
14 & 10858.5 & 49.207181047756 & 113.799999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300166&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]9054.7[/C][C]105.706196601713[/C][C]218.4[/C][/ROW]
[ROW][C]2[/C][C]9157.8[/C][C]47.1646760475113[/C][C]105.6[/C][/ROW]
[ROW][C]3[/C][C]9295.65[/C][C]39.8069926855407[/C][C]93.2000000000007[/C][/ROW]
[ROW][C]4[/C][C]9445.05[/C][C]51.8524509224647[/C][C]114.199999999999[/C][/ROW]
[ROW][C]5[/C][C]9589.5[/C][C]53.3422909144328[/C][C]117.199999999999[/C][/ROW]
[ROW][C]6[/C][C]9682.95[/C][C]61.7617735064876[/C][C]146.6[/C][/ROW]
[ROW][C]7[/C][C]9759.8[/C][C]64.2190003036482[/C][C]148.199999999999[/C][/ROW]
[ROW][C]8[/C][C]9864.95[/C][C]61.2377606818968[/C][C]138.199999999999[/C][/ROW]
[ROW][C]9[/C][C]9994.3[/C][C]60.6222181492342[/C][C]135.4[/C][/ROW]
[ROW][C]10[/C][C]10140.9[/C][C]58.132148305965[/C][C]123.200000000001[/C][/ROW]
[ROW][C]11[/C][C]10315.2[/C][C]57.3148032070831[/C][C]124.6[/C][/ROW]
[ROW][C]12[/C][C]10484.25[/C][C]57.8712075791294[/C][C]129[/C][/ROW]
[ROW][C]13[/C][C]10671.75[/C][C]48.9931627882914[/C][C]110.6[/C][/ROW]
[ROW][C]14[/C][C]10858.5[/C][C]49.207181047756[/C][C]113.799999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300166&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300166&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
19054.7105.706196601713218.4
29157.847.1646760475113105.6
39295.6539.806992685540793.2000000000007
49445.0551.8524509224647114.199999999999
59589.553.3422909144328117.199999999999
69682.9561.7617735064876146.6
79759.864.2190003036482148.199999999999
89864.9561.2377606818968138.199999999999
99994.360.6222181492342135.4
1010140.958.132148305965123.200000000001
1110315.257.3148032070831124.6
1210484.2557.8712075791294129
1310671.7548.9931627882914110.6
1410858.549.207181047756113.799999999999






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha140.964339908563
beta-0.00835966010975452
S.D.0.00745020356570746
T-STAT-1.12207136838961
p-value0.283782577108044

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 140.964339908563 \tabularnewline
beta & -0.00835966010975452 \tabularnewline
S.D. & 0.00745020356570746 \tabularnewline
T-STAT & -1.12207136838961 \tabularnewline
p-value & 0.283782577108044 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300166&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]140.964339908563[/C][/ROW]
[ROW][C]beta[/C][C]-0.00835966010975452[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00745020356570746[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.12207136838961[/C][/ROW]
[ROW][C]p-value[/C][C]0.283782577108044[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300166&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300166&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)
alpha140.964339908563
beta-0.00835966010975452
S.D.0.00745020356570746
T-STAT-1.12207136838961
p-value0.283782577108044






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha12.3954580515183
beta-0.908323723187321
S.D.1.09652500086042
T-STAT-0.828365721232605
p-value0.423633098158533
Lambda1.90832372318732

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 12.3954580515183 \tabularnewline
beta & -0.908323723187321 \tabularnewline
S.D. & 1.09652500086042 \tabularnewline
T-STAT & -0.828365721232605 \tabularnewline
p-value & 0.423633098158533 \tabularnewline
Lambda & 1.90832372318732 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300166&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12.3954580515183[/C][/ROW]
[ROW][C]beta[/C][C]-0.908323723187321[/C][/ROW]
[ROW][C]S.D.[/C][C]1.09652500086042[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.828365721232605[/C][/ROW]
[ROW][C]p-value[/C][C]0.423633098158533[/C][/ROW]
[ROW][C]Lambda[/C][C]1.90832372318732[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300166&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300166&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)
alpha12.3954580515183
beta-0.908323723187321
S.D.1.09652500086042
T-STAT-0.828365721232605
p-value0.423633098158533
Lambda1.90832372318732


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 4 ;
Parameters (R input):
par1 = 4 ;
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')