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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

Sat, 17 Dec 2016 21:04:51 +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/17/t1482005108ynw9wyjidm561j9.htm/, Retrieved Fri, 01 Nov 2024 05:21:58 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300935, Retrieved Fri, 01 Nov 2024 05:21:58 +0000

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No (this computation is public)

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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] [standard deviatio...] [2016-12-17 20:04:51] [06fd994a2f2098873ec640c3e39346e5] [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=300935&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=300935&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300935&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	5344.66666666667	502.980370723683	1420.2
2	5147.43333333333	442.317079466618	1540
3	4885.05	607.833482729664	2069.4
4	4832.66666666667	500.823593209377	1889
5	4547.01666666667	519.106438259462	1374
6	4717.61666666667	420.154728713847	1214.6
7	4693.93333333333	469.135966593391	1532.6
8	4673.98333333333	400.79387999622	1177.4
9	4759.76666666667	433.969180584255	1299.8
10	4749.76666666667	459.178704236425	1448.4
11	4634.86666666667	510.727475926904	1275
12	NaN	NA	-Inf

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 5344.66666666667 & 502.980370723683 & 1420.2 \tabularnewline
2 & 5147.43333333333 & 442.317079466618 & 1540 \tabularnewline
3 & 4885.05 & 607.833482729664 & 2069.4 \tabularnewline
4 & 4832.66666666667 & 500.823593209377 & 1889 \tabularnewline
5 & 4547.01666666667 & 519.106438259462 & 1374 \tabularnewline
6 & 4717.61666666667 & 420.154728713847 & 1214.6 \tabularnewline
7 & 4693.93333333333 & 469.135966593391 & 1532.6 \tabularnewline
8 & 4673.98333333333 & 400.79387999622 & 1177.4 \tabularnewline
9 & 4759.76666666667 & 433.969180584255 & 1299.8 \tabularnewline
10 & 4749.76666666667 & 459.178704236425 & 1448.4 \tabularnewline
11 & 4634.86666666667 & 510.727475926904 & 1275 \tabularnewline
12 & NaN & NA & -Inf \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300935&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]5344.66666666667[/C][C]502.980370723683[/C][C]1420.2[/C][/ROW]
[ROW][C]2[/C][C]5147.43333333333[/C][C]442.317079466618[/C][C]1540[/C][/ROW]
[ROW][C]3[/C][C]4885.05[/C][C]607.833482729664[/C][C]2069.4[/C][/ROW]
[ROW][C]4[/C][C]4832.66666666667[/C][C]500.823593209377[/C][C]1889[/C][/ROW]
[ROW][C]5[/C][C]4547.01666666667[/C][C]519.106438259462[/C][C]1374[/C][/ROW]
[ROW][C]6[/C][C]4717.61666666667[/C][C]420.154728713847[/C][C]1214.6[/C][/ROW]
[ROW][C]7[/C][C]4693.93333333333[/C][C]469.135966593391[/C][C]1532.6[/C][/ROW]
[ROW][C]8[/C][C]4673.98333333333[/C][C]400.79387999622[/C][C]1177.4[/C][/ROW]
[ROW][C]9[/C][C]4759.76666666667[/C][C]433.969180584255[/C][C]1299.8[/C][/ROW]
[ROW][C]10[/C][C]4749.76666666667[/C][C]459.178704236425[/C][C]1448.4[/C][/ROW]
[ROW][C]11[/C][C]4634.86666666667[/C][C]510.727475926904[/C][C]1275[/C][/ROW]
[ROW][C]12[/C][C]NaN[/C][C]NA[/C][C]-Inf[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300935&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300935&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	5344.66666666667	502.980370723683	1420.2
2	5147.43333333333	442.317079466618	1540
3	4885.05	607.833482729664	2069.4
4	4832.66666666667	500.823593209377	1889
5	4547.01666666667	519.106438259462	1374
6	4717.61666666667	420.154728713847	1214.6
7	4693.93333333333	469.135966593391	1532.6
8	4673.98333333333	400.79387999622	1177.4
9	4759.76666666667	433.969180584255	1299.8
10	4749.76666666667	459.178704236425	1448.4
11	4634.86666666667	510.727475926904	1275
12	NaN	NA	-Inf

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	346.211792703798
beta	0.0275293487876796
S.D.	0.0818697306120044
T-STAT	0.336257962276024
p-value	0.744383492987188

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 346.211792703798 \tabularnewline
beta & 0.0275293487876796 \tabularnewline
S.D. & 0.0818697306120044 \tabularnewline
T-STAT & 0.336257962276024 \tabularnewline
p-value & 0.744383492987188 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300935&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]346.211792703798[/C][/ROW]
[ROW][C]beta[/C][C]0.0275293487876796[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0818697306120044[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.336257962276024[/C][/ROW]
[ROW][C]p-value[/C][C]0.744383492987188[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300935&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300935&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	346.211792703798
beta	0.0275293487876796
S.D.	0.0818697306120044
T-STAT	0.336257962276024
p-value	0.744383492987188

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	3.72004692596052
beta	0.288348614792885
S.D.	0.820007447901472
T-STAT	0.351641458295061
p-value	0.733199556270859
Lambda	0.711651385207115

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.72004692596052 \tabularnewline
beta & 0.288348614792885 \tabularnewline
S.D. & 0.820007447901472 \tabularnewline
T-STAT & 0.351641458295061 \tabularnewline
p-value & 0.733199556270859 \tabularnewline
Lambda & 0.711651385207115 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300935&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.72004692596052[/C][/ROW]
[ROW][C]beta[/C][C]0.288348614792885[/C][/ROW]
[ROW][C]S.D.[/C][C]0.820007447901472[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.351641458295061[/C][/ROW]
[ROW][C]p-value[/C][C]0.733199556270859[/C][/ROW]
[ROW][C]Lambda[/C][C]0.711651385207115[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300935&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300935&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	3.72004692596052
beta	0.288348614792885
S.D.	0.820007447901472
T-STAT	0.351641458295061
p-value	0.733199556270859
Lambda	0.711651385207115

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

Parameters (R input):

par1 = 12 ;

R code (references can be found in the software module):

par1 <- '12'
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