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Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Wed, 09 Jul 2014 11:53:17 +0100

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Jul/09/t14049033602uah8o4p9vmc0nm.htm/, Retrieved Wed, 15 May 2024 15:24:46 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235281, Retrieved Wed, 15 May 2024 15:24:46 +0000

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IsPrivate?

No (this computation is public)

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Estimated Impact

139

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Standard Deviation-Mean Plot] [] [2014-07-09 10:53:17] [bdb7c0ed7ba273e65f9ee772c5dda4f0] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235281&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235281&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235281&T=0

As an alternative you can also use a 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 Output	view raw output of R engine
Computing time	1 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1054182.41666667	88032.108102626	262568
2	1283019.75	154803.028222157	393469
3	1686600.58333333	138591.486403523	363183
4	2072492.5	146805.364649624	383563
5	2496122.41666667	209587.103807574	555600
6	3142658.75	246176.96449104	706875
7	3940502.75	284877.652541682	786932
8	4780393.83333333	312474.216785913	827880
9	5691452.58333333	359709.265269116	998801
10	6604395.75	397361.485553971	1070063

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1054182.41666667 & 88032.108102626 & 262568 \tabularnewline
2 & 1283019.75 & 154803.028222157 & 393469 \tabularnewline
3 & 1686600.58333333 & 138591.486403523 & 363183 \tabularnewline
4 & 2072492.5 & 146805.364649624 & 383563 \tabularnewline
5 & 2496122.41666667 & 209587.103807574 & 555600 \tabularnewline
6 & 3142658.75 & 246176.96449104 & 706875 \tabularnewline
7 & 3940502.75 & 284877.652541682 & 786932 \tabularnewline
8 & 4780393.83333333 & 312474.216785913 & 827880 \tabularnewline
9 & 5691452.58333333 & 359709.265269116 & 998801 \tabularnewline
10 & 6604395.75 & 397361.485553971 & 1070063 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235281&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]1054182.41666667[/C][C]88032.108102626[/C][C]262568[/C][/ROW]
[ROW][C]2[/C][C]1283019.75[/C][C]154803.028222157[/C][C]393469[/C][/ROW]
[ROW][C]3[/C][C]1686600.58333333[/C][C]138591.486403523[/C][C]363183[/C][/ROW]
[ROW][C]4[/C][C]2072492.5[/C][C]146805.364649624[/C][C]383563[/C][/ROW]
[ROW][C]5[/C][C]2496122.41666667[/C][C]209587.103807574[/C][C]555600[/C][/ROW]
[ROW][C]6[/C][C]3142658.75[/C][C]246176.96449104[/C][C]706875[/C][/ROW]
[ROW][C]7[/C][C]3940502.75[/C][C]284877.652541682[/C][C]786932[/C][/ROW]
[ROW][C]8[/C][C]4780393.83333333[/C][C]312474.216785913[/C][C]827880[/C][/ROW]
[ROW][C]9[/C][C]5691452.58333333[/C][C]359709.265269116[/C][C]998801[/C][/ROW]
[ROW][C]10[/C][C]6604395.75[/C][C]397361.485553971[/C][C]1070063[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235281&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235281&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1054182.41666667	88032.108102626	262568
2	1283019.75	154803.028222157	393469
3	1686600.58333333	138591.486403523	363183
4	2072492.5	146805.364649624	383563
5	2496122.41666667	209587.103807574	555600
6	3142658.75	246176.96449104	706875
7	3940502.75	284877.652541682	786932
8	4780393.83333333	312474.216785913	827880
9	5691452.58333333	359709.265269116	998801
10	6604395.75	397361.485553971	1070063

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	60288.1314682397
beta	0.0529905602342328
S.D.	0.00349978730639323
T-STAT	15.1410801843393
p-value	3.58360004233614e-07

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 60288.1314682397 \tabularnewline
beta & 0.0529905602342328 \tabularnewline
S.D. & 0.00349978730639323 \tabularnewline
T-STAT & 15.1410801843393 \tabularnewline
p-value & 3.58360004233614e-07 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235281&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]60288.1314682397[/C][/ROW]
[ROW][C]beta[/C][C]0.0529905602342328[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00349978730639323[/C][/ROW]
[ROW][C]T-STAT[/C][C]15.1410801843393[/C][/ROW]
[ROW][C]p-value[/C][C]3.58360004233614e-07[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235281&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235281&T=2

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	60288.1314682397
beta	0.0529905602342328
S.D.	0.00349978730639323
T-STAT	15.1410801843393
p-value	3.58360004233614e-07

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	1.1910693165121
beta	0.746474750513352
S.D.	0.0667776586700053
T-STAT	11.178510378781
p-value	3.67346051712393e-06
Lambda	0.253525249486648

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.1910693165121 \tabularnewline
beta & 0.746474750513352 \tabularnewline
S.D. & 0.0667776586700053 \tabularnewline
T-STAT & 11.178510378781 \tabularnewline
p-value & 3.67346051712393e-06 \tabularnewline
Lambda & 0.253525249486648 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235281&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.1910693165121[/C][/ROW]
[ROW][C]beta[/C][C]0.746474750513352[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0667776586700053[/C][/ROW]
[ROW][C]T-STAT[/C][C]11.178510378781[/C][/ROW]
[ROW][C]p-value[/C][C]3.67346051712393e-06[/C][/ROW]
[ROW][C]Lambda[/C][C]0.253525249486648[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235281&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235281&T=3

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	1.1910693165121
beta	0.746474750513352
S.D.	0.0667776586700053
T-STAT	11.178510378781
p-value	3.67346051712393e-06
Lambda	0.253525249486648

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code