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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 computationMon, 05 May 2014 15:12:06 -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/2014/May/05/t1399317133dos585yym726w7k.htm/, Retrieved Tue, 14 May 2024 09:01:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=234770, Retrieved Tue, 14 May 2024 09:01:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact170

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] [] [2014-05-05 19:12:06] [0a29af7e4d8d6424b8240e38ffd48a3a] [Current]
-    D    [Standard Deviation-Mean Plot] [] [2014-05-05 19:14:15] [68b3e6320f252e1f50534bfc7f55de90]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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
4308032
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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234770&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234770&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234770&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'Gwilym Jenkins' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
13949309.25627894.1289275281694303
23626925.83333333600551.8391479371811468
33761406.83333333672777.8984258721875069
44140052.08333333707949.1491545342105265
54247966664746.9797431471926386

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3949309.25 & 627894.128927528 & 1694303 \tabularnewline
2 & 3626925.83333333 & 600551.839147937 & 1811468 \tabularnewline
3 & 3761406.83333333 & 672777.898425872 & 1875069 \tabularnewline
4 & 4140052.08333333 & 707949.149154534 & 2105265 \tabularnewline
5 & 4247966 & 664746.979743147 & 1926386 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234770&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]3949309.25[/C][C]627894.128927528[/C][C]1694303[/C][/ROW]
[ROW][C]2[/C][C]3626925.83333333[/C][C]600551.839147937[/C][C]1811468[/C][/ROW]
[ROW][C]3[/C][C]3761406.83333333[/C][C]672777.898425872[/C][C]1875069[/C][/ROW]
[ROW][C]4[/C][C]4140052.08333333[/C][C]707949.149154534[/C][C]2105265[/C][/ROW]
[ROW][C]5[/C][C]4247966[/C][C]664746.979743147[/C][C]1926386[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234770&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234770&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
13949309.25627894.1289275281694303
23626925.83333333600551.8391479371811468
33761406.83333333672777.8984258721875069
44140052.08333333707949.1491545342105265
54247966664746.9797431471926386






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha249155.743898046
beta0.102817410211308
S.D.0.0719835470590248
T-STAT1.42834598199225
p-value0.248505282853638

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 249155.743898046 \tabularnewline
beta & 0.102817410211308 \tabularnewline
S.D. & 0.0719835470590248 \tabularnewline
T-STAT & 1.42834598199225 \tabularnewline
p-value & 0.248505282853638 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234770&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]249155.743898046[/C][/ROW]
[ROW][C]beta[/C][C]0.102817410211308[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0719835470590248[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.42834598199225[/C][/ROW]
[ROW][C]p-value[/C][C]0.248505282853638[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234770&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234770&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)
alpha249155.743898046
beta0.102817410211308
S.D.0.0719835470590248
T-STAT1.42834598199225
p-value0.248505282853638






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha3.81394370380632
beta0.630601561929448
S.D.0.429203831157421
T-STAT1.46923563153881
p-value0.238099586848828
Lambda0.369398438070552

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.81394370380632 \tabularnewline
beta & 0.630601561929448 \tabularnewline
S.D. & 0.429203831157421 \tabularnewline
T-STAT & 1.46923563153881 \tabularnewline
p-value & 0.238099586848828 \tabularnewline
Lambda & 0.369398438070552 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234770&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.81394370380632[/C][/ROW]
[ROW][C]beta[/C][C]0.630601561929448[/C][/ROW]
[ROW][C]S.D.[/C][C]0.429203831157421[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.46923563153881[/C][/ROW]
[ROW][C]p-value[/C][C]0.238099586848828[/C][/ROW]
[ROW][C]Lambda[/C][C]0.369398438070552[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234770&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234770&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)
alpha3.81394370380632
beta0.630601561929448
S.D.0.429203831157421
T-STAT1.46923563153881
p-value0.238099586848828
Lambda0.369398438070552


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')