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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

Thu, 17 Aug 2017 02:02:07 +0200

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/2017/Aug/17/t1502928146pwxh020nr3nsicg.htm/, Retrieved Fri, 10 May 2024 01:27:05 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=307532, Retrieved Fri, 10 May 2024 01:27:05 +0000

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IsPrivate?

No (this computation is public)

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Estimated Impact

150

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

-       [Standard Deviation-Mean Plot] [] [2017-08-17 00:02:07] [ad161bcd2bdcbffd0567a2be7a0bbb46] [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	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 time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307532&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]

2 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=307532&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307532&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	Big Analytics Cloud Computing Center

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	208506.833333333	7065.94567862882	21076
2	212151.5	7497.4436309985	24288
3	217688.166666667	7354.03768914284	23507
4	224641.083333333	7524.15856314401	25938
5	217832.083333333	12390.486273078	44517
6	198261.25	14772.7867631669	51018
7	178349.416666667	12148.8001911025	43725
8	151152.833333333	16932.6970188843	61512
9	131783.666666667	18907.6275437542	63162
10	105058.25	20925.5292107512	72094

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 208506.833333333 & 7065.94567862882 & 21076 \tabularnewline
2 & 212151.5 & 7497.4436309985 & 24288 \tabularnewline
3 & 217688.166666667 & 7354.03768914284 & 23507 \tabularnewline
4 & 224641.083333333 & 7524.15856314401 & 25938 \tabularnewline
5 & 217832.083333333 & 12390.486273078 & 44517 \tabularnewline
6 & 198261.25 & 14772.7867631669 & 51018 \tabularnewline
7 & 178349.416666667 & 12148.8001911025 & 43725 \tabularnewline
8 & 151152.833333333 & 16932.6970188843 & 61512 \tabularnewline
9 & 131783.666666667 & 18907.6275437542 & 63162 \tabularnewline
10 & 105058.25 & 20925.5292107512 & 72094 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307532&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]208506.833333333[/C][C]7065.94567862882[/C][C]21076[/C][/ROW]
[ROW][C]2[/C][C]212151.5[/C][C]7497.4436309985[/C][C]24288[/C][/ROW]
[ROW][C]3[/C][C]217688.166666667[/C][C]7354.03768914284[/C][C]23507[/C][/ROW]
[ROW][C]4[/C][C]224641.083333333[/C][C]7524.15856314401[/C][C]25938[/C][/ROW]
[ROW][C]5[/C][C]217832.083333333[/C][C]12390.486273078[/C][C]44517[/C][/ROW]
[ROW][C]6[/C][C]198261.25[/C][C]14772.7867631669[/C][C]51018[/C][/ROW]
[ROW][C]7[/C][C]178349.416666667[/C][C]12148.8001911025[/C][C]43725[/C][/ROW]
[ROW][C]8[/C][C]151152.833333333[/C][C]16932.6970188843[/C][C]61512[/C][/ROW]
[ROW][C]9[/C][C]131783.666666667[/C][C]18907.6275437542[/C][C]63162[/C][/ROW]
[ROW][C]10[/C][C]105058.25[/C][C]20925.5292107512[/C][C]72094[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307532&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307532&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	208506.833333333	7065.94567862882	21076
2	212151.5	7497.4436309985	24288
3	217688.166666667	7354.03768914284	23507
4	224641.083333333	7524.15856314401	25938
5	217832.083333333	12390.486273078	44517
6	198261.25	14772.7867631669	51018
7	178349.416666667	12148.8001911025	43725
8	151152.833333333	16932.6970188843	61512
9	131783.666666667	18907.6275437542	63162
10	105058.25	20925.5292107512	72094

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	33433.2668148062
beta	-0.113151792219188
S.D.	0.0185894327362385
T-STAT	-6.08688784777213
p-value	0.000293686871073615

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 33433.2668148062 \tabularnewline
beta & -0.113151792219188 \tabularnewline
S.D. & 0.0185894327362385 \tabularnewline
T-STAT & -6.08688784777213 \tabularnewline
p-value & 0.000293686871073615 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307532&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]33433.2668148062[/C][/ROW]
[ROW][C]beta[/C][C]-0.113151792219188[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0185894327362385[/C][/ROW]
[ROW][C]T-STAT[/C][C]-6.08688784777213[/C][/ROW]
[ROW][C]p-value[/C][C]0.000293686871073615[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307532&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307532&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	33433.2668148062
beta	-0.113151792219188
S.D.	0.0185894327362385
T-STAT	-6.08688784777213
p-value	0.000293686871073615

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	26.1247283953905
beta	-1.38589065989076
S.D.	0.316605261909547
T-STAT	-4.3773456307454
p-value	0.00235715681397515
Lambda	2.38589065989076

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 26.1247283953905 \tabularnewline
beta & -1.38589065989076 \tabularnewline
S.D. & 0.316605261909547 \tabularnewline
T-STAT & -4.3773456307454 \tabularnewline
p-value & 0.00235715681397515 \tabularnewline
Lambda & 2.38589065989076 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307532&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]26.1247283953905[/C][/ROW]
[ROW][C]beta[/C][C]-1.38589065989076[/C][/ROW]
[ROW][C]S.D.[/C][C]0.316605261909547[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.3773456307454[/C][/ROW]
[ROW][C]p-value[/C][C]0.00235715681397515[/C][/ROW]
[ROW][C]Lambda[/C][C]2.38589065989076[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307532&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307532&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	26.1247283953905
beta	-1.38589065989076
S.D.	0.316605261909547
T-STAT	-4.3773456307454
p-value	0.00235715681397515
Lambda	2.38589065989076

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