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 computationSat, 25 May 2013 14:41:10 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/May/25/t1369507356r3rk28vxdpfnirz.htm/, Retrieved Thu, 02 May 2024 19:35:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=210550, Retrieved Thu, 02 May 2024 19:35:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact66

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...] [2013-05-25 18:41:10] [3958f9c0a64aeec6b83979b094ee8a96] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3169889
3051720
3695426
3905501
4296458
4246247
4921849
4821446
4425064
4379099
3472889
3359160
3200944
3153170
3741498
3918719
4403449
4400407
4847473
4716136
4297440
4272253
3271834
3168388
2911748
2720999
3199918
3672623
3892013
3850845
4532467
4484739
4014972
3983758
3158459
3100569
2935404
2855719
3465611
3006985
4095110
4104793
4730788
4642726
4246919
4308117
3508154
3236641
3257275
3045631
3657692
4125747
4472507
4513455
5150896
5057815
4681742
4603682
3580181
3534002
3422762
3295209
3868093
4189245
4544332
4612845
5221595
5137505
4760439
4643697
3692267
3587603

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210550&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210550&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210550&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
13978729630339.4869010881870129
23949309.25627894.1289275281694303
33626925.83333333600551.8391479371811468
43761413.91666667672784.1771741531875069
54140052.08333333707949.1491545342105265
64247966664746.9797431471926386

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3978729 & 630339.486901088 & 1870129 \tabularnewline
2 & 3949309.25 & 627894.128927528 & 1694303 \tabularnewline
3 & 3626925.83333333 & 600551.839147937 & 1811468 \tabularnewline
4 & 3761413.91666667 & 672784.177174153 & 1875069 \tabularnewline
5 & 4140052.08333333 & 707949.149154534 & 2105265 \tabularnewline
6 & 4247966 & 664746.979743147 & 1926386 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210550&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]3978729[/C][C]630339.486901088[/C][C]1870129[/C][/ROW]
[ROW][C]2[/C][C]3949309.25[/C][C]627894.128927528[/C][C]1694303[/C][/ROW]
[ROW][C]3[/C][C]3626925.83333333[/C][C]600551.839147937[/C][C]1811468[/C][/ROW]
[ROW][C]4[/C][C]3761413.91666667[/C][C]672784.177174153[/C][C]1875069[/C][/ROW]
[ROW][C]5[/C][C]4140052.08333333[/C][C]707949.149154534[/C][C]2105265[/C][/ROW]
[ROW][C]6[/C][C]4247966[/C][C]664746.979743147[/C][C]1926386[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210550&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210550&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
13978729630339.4869010881870129
23949309.25627894.1289275281694303
33626925.83333333600551.8391479371811468
43761413.91666667672784.1771741531875069
54140052.08333333707949.1491545342105265
64247966664746.9797431471926386






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha256133.788463397
beta0.0998744292807602
S.D.0.0669413272743042
T-STAT1.49196965981129
p-value0.209983071112126

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 256133.788463397 \tabularnewline
beta & 0.0998744292807602 \tabularnewline
S.D. & 0.0669413272743042 \tabularnewline
T-STAT & 1.49196965981129 \tabularnewline
p-value & 0.209983071112126 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210550&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]256133.788463397[/C][/ROW]
[ROW][C]beta[/C][C]0.0998744292807602[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0669413272743042[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.49196965981129[/C][/ROW]
[ROW][C]p-value[/C][C]0.209983071112126[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210550&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210550&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)
alpha256133.788463397
beta0.0998744292807602
S.D.0.0669413272743042
T-STAT1.49196965981129
p-value0.209983071112126






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha4.12802318434838
beta0.609451965442459
S.D.0.399490441448417
T-STAT1.52557333595466
p-value0.201810700981574
Lambda0.390548034557541

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.12802318434838 \tabularnewline
beta & 0.609451965442459 \tabularnewline
S.D. & 0.399490441448417 \tabularnewline
T-STAT & 1.52557333595466 \tabularnewline
p-value & 0.201810700981574 \tabularnewline
Lambda & 0.390548034557541 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210550&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.12802318434838[/C][/ROW]
[ROW][C]beta[/C][C]0.609451965442459[/C][/ROW]
[ROW][C]S.D.[/C][C]0.399490441448417[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.52557333595466[/C][/ROW]
[ROW][C]p-value[/C][C]0.201810700981574[/C][/ROW]
[ROW][C]Lambda[/C][C]0.390548034557541[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210550&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210550&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)
alpha4.12802318434838
beta0.609451965442459
S.D.0.399490441448417
T-STAT1.52557333595466
p-value0.201810700981574
Lambda0.390548034557541


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')