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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, 31 Dec 2014 14:31:43 +0000

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/Dec/31/t1420036333wsk3faklhov5lki.htm/, Retrieved Thu, 16 May 2024 17:48:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=271823, Retrieved Thu, 16 May 2024 17:48:09 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

115

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

-       [Standard Deviation-Mean Plot] [Standard deviatio...] [2014-12-31 14:31:43] [f3214e2e5ea63970beb6f1c2b92f5ecb] [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	2 seconds
R Server	'Sir Maurice George Kendall' @ kendall.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 Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271823&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 Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271823&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271823&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	2 seconds
R Server	'Sir Maurice George Kendall' @ kendall.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	41660.0833333333	13851.0288390977	59130
2	32267.9166666667	10613.1255224868	48085
3	40264	11860.3269232881	51158
4	46314.75	13178.1070590237	57558
5	41870.4166666667	17432.8950522142	57904
6	34734.6666666667	5618.33955304709	19649

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 41660.0833333333 & 13851.0288390977 & 59130 \tabularnewline
2 & 32267.9166666667 & 10613.1255224868 & 48085 \tabularnewline
3 & 40264 & 11860.3269232881 & 51158 \tabularnewline
4 & 46314.75 & 13178.1070590237 & 57558 \tabularnewline
5 & 41870.4166666667 & 17432.8950522142 & 57904 \tabularnewline
6 & 34734.6666666667 & 5618.33955304709 & 19649 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271823&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]41660.0833333333[/C][C]13851.0288390977[/C][C]59130[/C][/ROW]
[ROW][C]2[/C][C]32267.9166666667[/C][C]10613.1255224868[/C][C]48085[/C][/ROW]
[ROW][C]3[/C][C]40264[/C][C]11860.3269232881[/C][C]51158[/C][/ROW]
[ROW][C]4[/C][C]46314.75[/C][C]13178.1070590237[/C][C]57558[/C][/ROW]
[ROW][C]5[/C][C]41870.4166666667[/C][C]17432.8950522142[/C][C]57904[/C][/ROW]
[ROW][C]6[/C][C]34734.6666666667[/C][C]5618.33955304709[/C][C]19649[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271823&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271823&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	41660.0833333333	13851.0288390977	59130
2	32267.9166666667	10613.1255224868	48085
3	40264	11860.3269232881	51158
4	46314.75	13178.1070590237	57558
5	41870.4166666667	17432.8950522142	57904
6	34734.6666666667	5618.33955304709	19649

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-7389.09729543376
beta	0.49296741153124
S.D.	0.290911683479843
T-STAT	1.69456037528103
p-value	0.165406152280434

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -7389.09729543376 \tabularnewline
beta & 0.49296741153124 \tabularnewline
S.D. & 0.290911683479843 \tabularnewline
T-STAT & 1.69456037528103 \tabularnewline
p-value & 0.165406152280434 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271823&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-7389.09729543376[/C][/ROW]
[ROW][C]beta[/C][C]0.49296741153124[/C][/ROW]
[ROW][C]S.D.[/C][C]0.290911683479843[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.69456037528103[/C][/ROW]
[ROW][C]p-value[/C][C]0.165406152280434[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271823&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271823&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	-7389.09729543376
beta	0.49296741153124
S.D.	0.290911683479843
T-STAT	1.69456037528103
p-value	0.165406152280434

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-10.194264660579
beta	1.84734429790283
S.D.	1.11455268381141
T-STAT	1.6574759764478
p-value	0.172763525000845
Lambda	-0.847344297902832

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -10.194264660579 \tabularnewline
beta & 1.84734429790283 \tabularnewline
S.D. & 1.11455268381141 \tabularnewline
T-STAT & 1.6574759764478 \tabularnewline
p-value & 0.172763525000845 \tabularnewline
Lambda & -0.847344297902832 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271823&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-10.194264660579[/C][/ROW]
[ROW][C]beta[/C][C]1.84734429790283[/C][/ROW]
[ROW][C]S.D.[/C][C]1.11455268381141[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.6574759764478[/C][/ROW]
[ROW][C]p-value[/C][C]0.172763525000845[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.847344297902832[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271823&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271823&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	-10.194264660579
beta	1.84734429790283
S.D.	1.11455268381141
T-STAT	1.6574759764478
p-value	0.172763525000845
Lambda	-0.847344297902832

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