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Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Thu, 15 Dec 2016 23:26:09 +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/2016/Dec/15/t148184086620wtqufbqsbtr4e.htm/, Retrieved Fri, 03 May 2024 05:55:27 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300037, Retrieved Fri, 03 May 2024 05:55:27 +0000

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Estimated Impact

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

-       [Standard Deviation-Mean Plot] [lambda ] [2016-12-15 22:26:09] [f07fac15bca656f595926f3a45d3c842] [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	Big 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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300037&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]

1 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300037&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300037&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	Big Analytics Cloud Computing Center

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	7712.5	573.548893585659	1400
2	7112.5	440.407008724127	950
3	7062.5	1383.45882964884	3000
4	6687.5	1229.07485532819	2850
5	7500	958.297100764337	2250
6	7275	1043.63148029688	2200
7	7450	1779.04468746572	4350
8	8475	968.245836551854	2100
9	10037.5	2139.46060180286	5150
10	9362.5	1496.87173799227	3300
11	9137.5	1416.78921038617	3350
12	7875	639.661368746516	1400

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 7712.5 & 573.548893585659 & 1400 \tabularnewline
2 & 7112.5 & 440.407008724127 & 950 \tabularnewline
3 & 7062.5 & 1383.45882964884 & 3000 \tabularnewline
4 & 6687.5 & 1229.07485532819 & 2850 \tabularnewline
5 & 7500 & 958.297100764337 & 2250 \tabularnewline
6 & 7275 & 1043.63148029688 & 2200 \tabularnewline
7 & 7450 & 1779.04468746572 & 4350 \tabularnewline
8 & 8475 & 968.245836551854 & 2100 \tabularnewline
9 & 10037.5 & 2139.46060180286 & 5150 \tabularnewline
10 & 9362.5 & 1496.87173799227 & 3300 \tabularnewline
11 & 9137.5 & 1416.78921038617 & 3350 \tabularnewline
12 & 7875 & 639.661368746516 & 1400 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300037&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]7712.5[/C][C]573.548893585659[/C][C]1400[/C][/ROW]
[ROW][C]2[/C][C]7112.5[/C][C]440.407008724127[/C][C]950[/C][/ROW]
[ROW][C]3[/C][C]7062.5[/C][C]1383.45882964884[/C][C]3000[/C][/ROW]
[ROW][C]4[/C][C]6687.5[/C][C]1229.07485532819[/C][C]2850[/C][/ROW]
[ROW][C]5[/C][C]7500[/C][C]958.297100764337[/C][C]2250[/C][/ROW]
[ROW][C]6[/C][C]7275[/C][C]1043.63148029688[/C][C]2200[/C][/ROW]
[ROW][C]7[/C][C]7450[/C][C]1779.04468746572[/C][C]4350[/C][/ROW]
[ROW][C]8[/C][C]8475[/C][C]968.245836551854[/C][C]2100[/C][/ROW]
[ROW][C]9[/C][C]10037.5[/C][C]2139.46060180286[/C][C]5150[/C][/ROW]
[ROW][C]10[/C][C]9362.5[/C][C]1496.87173799227[/C][C]3300[/C][/ROW]
[ROW][C]11[/C][C]9137.5[/C][C]1416.78921038617[/C][C]3350[/C][/ROW]
[ROW][C]12[/C][C]7875[/C][C]639.661368746516[/C][C]1400[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300037&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300037&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	7712.5	573.548893585659	1400
2	7112.5	440.407008724127	950
3	7062.5	1383.45882964884	3000
4	6687.5	1229.07485532819	2850
5	7500	958.297100764337	2250
6	7275	1043.63148029688	2200
7	7450	1779.04468746572	4350
8	8475	968.245836551854	2100
9	10037.5	2139.46060180286	5150
10	9362.5	1496.87173799227	3300
11	9137.5	1416.78921038617	3350
12	7875	639.661368746516	1400

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-857.53072217425
beta	0.254566795844645
S.D.	0.129133094169634
T-STAT	1.97135209592543
p-value	0.0769713174403301

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -857.53072217425 \tabularnewline
beta & 0.254566795844645 \tabularnewline
S.D. & 0.129133094169634 \tabularnewline
T-STAT & 1.97135209592543 \tabularnewline
p-value & 0.0769713174403301 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300037&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-857.53072217425[/C][/ROW]
[ROW][C]beta[/C][C]0.254566795844645[/C][/ROW]
[ROW][C]S.D.[/C][C]0.129133094169634[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.97135209592543[/C][/ROW]
[ROW][C]p-value[/C][C]0.0769713174403301[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300037&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300037&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	-857.53072217425
beta	0.254566795844645
S.D.	0.129133094169634
T-STAT	1.97135209592543
p-value	0.0769713174403301

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-7.86471692370818
beta	1.65279975420516
S.D.	1.06140471924458
T-STAT	1.55718146361879
p-value	0.150483716397582
Lambda	-0.652799754205164

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -7.86471692370818 \tabularnewline
beta & 1.65279975420516 \tabularnewline
S.D. & 1.06140471924458 \tabularnewline
T-STAT & 1.55718146361879 \tabularnewline
p-value & 0.150483716397582 \tabularnewline
Lambda & -0.652799754205164 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300037&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-7.86471692370818[/C][/ROW]
[ROW][C]beta[/C][C]1.65279975420516[/C][/ROW]
[ROW][C]S.D.[/C][C]1.06140471924458[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.55718146361879[/C][/ROW]
[ROW][C]p-value[/C][C]0.150483716397582[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.652799754205164[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300037&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300037&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	-7.86471692370818
beta	1.65279975420516
S.D.	1.06140471924458
T-STAT	1.55718146361879
p-value	0.150483716397582
Lambda	-0.652799754205164

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code