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Author's title

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

Fri, 09 Dec 2016 09:22:47 +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/09/t1481272020dqblwa44jhwgm0h.htm/, Retrieved Fri, 01 Nov 2024 03:33:18 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298442, Retrieved Fri, 01 Nov 2024 03:33:18 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

128

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

-       [Standard Deviation-Mean Plot] [] [2016-12-09 08:22:47] [9ac947b5174fcc9cd01e144b03ceb277] [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=298442&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=298442&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298442&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	6423.41666666667	1372.89537827796	4191
2	5075.25	785.480758979666	2680
3	4216.08333333333	737.656542194553	2457
4	4265.83333333333	884.362619305137	2679
5	5182.08333333333	1178.03167563011	3470
6	5825.41666666667	888.190444190611	2513
7	5694.75	1316.03026526403	3691
8	6168.33333333333	1127.43178252275	3039
9	6060.66666666667	994.973762407224	2655
10	5775.08333333333	1155.83715889341	3848

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 6423.41666666667 & 1372.89537827796 & 4191 \tabularnewline
2 & 5075.25 & 785.480758979666 & 2680 \tabularnewline
3 & 4216.08333333333 & 737.656542194553 & 2457 \tabularnewline
4 & 4265.83333333333 & 884.362619305137 & 2679 \tabularnewline
5 & 5182.08333333333 & 1178.03167563011 & 3470 \tabularnewline
6 & 5825.41666666667 & 888.190444190611 & 2513 \tabularnewline
7 & 5694.75 & 1316.03026526403 & 3691 \tabularnewline
8 & 6168.33333333333 & 1127.43178252275 & 3039 \tabularnewline
9 & 6060.66666666667 & 994.973762407224 & 2655 \tabularnewline
10 & 5775.08333333333 & 1155.83715889341 & 3848 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298442&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]6423.41666666667[/C][C]1372.89537827796[/C][C]4191[/C][/ROW]
[ROW][C]2[/C][C]5075.25[/C][C]785.480758979666[/C][C]2680[/C][/ROW]
[ROW][C]3[/C][C]4216.08333333333[/C][C]737.656542194553[/C][C]2457[/C][/ROW]
[ROW][C]4[/C][C]4265.83333333333[/C][C]884.362619305137[/C][C]2679[/C][/ROW]
[ROW][C]5[/C][C]5182.08333333333[/C][C]1178.03167563011[/C][C]3470[/C][/ROW]
[ROW][C]6[/C][C]5825.41666666667[/C][C]888.190444190611[/C][C]2513[/C][/ROW]
[ROW][C]7[/C][C]5694.75[/C][C]1316.03026526403[/C][C]3691[/C][/ROW]
[ROW][C]8[/C][C]6168.33333333333[/C][C]1127.43178252275[/C][C]3039[/C][/ROW]
[ROW][C]9[/C][C]6060.66666666667[/C][C]994.973762407224[/C][C]2655[/C][/ROW]
[ROW][C]10[/C][C]5775.08333333333[/C][C]1155.83715889341[/C][C]3848[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298442&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298442&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	6423.41666666667	1372.89537827796	4191
2	5075.25	785.480758979666	2680
3	4216.08333333333	737.656542194553	2457
4	4265.83333333333	884.362619305137	2679
5	5182.08333333333	1178.03167563011	3470
6	5825.41666666667	888.190444190611	2513
7	5694.75	1316.03026526403	3691
8	6168.33333333333	1127.43178252275	3039
9	6060.66666666667	994.973762407224	2655
10	5775.08333333333	1155.83715889341	3848

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-15.7388934515396
beta	0.19379917479679
S.D.	0.0744977214555892
T-STAT	2.60141076814438
p-value	0.0315485663985263

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -15.7388934515396 \tabularnewline
beta & 0.19379917479679 \tabularnewline
S.D. & 0.0744977214555892 \tabularnewline
T-STAT & 2.60141076814438 \tabularnewline
p-value & 0.0315485663985263 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298442&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-15.7388934515396[/C][/ROW]
[ROW][C]beta[/C][C]0.19379917479679[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0744977214555892[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.60141076814438[/C][/ROW]
[ROW][C]p-value[/C][C]0.0315485663985263[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298442&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298442&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	-15.7388934515396
beta	0.19379917479679
S.D.	0.0744977214555892
T-STAT	2.60141076814438
p-value	0.0315485663985263

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-1.70994278887304
beta	1.00502128287396
S.D.	0.36935303468756
T-STAT	2.72103161064892
p-value	0.0262068573498603
Lambda	-0.00502128287395753

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.70994278887304 \tabularnewline
beta & 1.00502128287396 \tabularnewline
S.D. & 0.36935303468756 \tabularnewline
T-STAT & 2.72103161064892 \tabularnewline
p-value & 0.0262068573498603 \tabularnewline
Lambda & -0.00502128287395753 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298442&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.70994278887304[/C][/ROW]
[ROW][C]beta[/C][C]1.00502128287396[/C][/ROW]
[ROW][C]S.D.[/C][C]0.36935303468756[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.72103161064892[/C][/ROW]
[ROW][C]p-value[/C][C]0.0262068573498603[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.00502128287395753[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298442&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298442&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	-1.70994278887304
beta	1.00502128287396
S.D.	0.36935303468756
T-STAT	2.72103161064892
p-value	0.0262068573498603
Lambda	-0.00502128287395753

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