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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

Mon, 19 Dec 2016 15:27:36 +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/19/t14821577032zcoz89e89o0ngq.htm/, Retrieved Sat, 18 May 2024 00:15:16 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301367, Retrieved Sat, 18 May 2024 00:15:16 +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] [] [2016-12-19 14:27:36] [8e62cbb8023b87d93040197279d31dd8] [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=301367&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=301367&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301367&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	3759.16666666667	968.546599370167	2711
2	2294.33333333333	496.038549332854	1578
3	1880.83333333333	511.029590556401	1602
4	1400.25	488.28607952157	1497
5	1313	539.385677498865	1604
6	1648.16666666667	544.640136960065	1587
7	1512.83333333333	499.798474539004	1600
8	1539.16666666667	416.807527704953	1438
9	1938.25	492.586517550701	1853
10	1950.28571428571	572.481939827425	1527
11	NaN	NA	-Inf
12	NaN	NA	-Inf

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3759.16666666667 & 968.546599370167 & 2711 \tabularnewline
2 & 2294.33333333333 & 496.038549332854 & 1578 \tabularnewline
3 & 1880.83333333333 & 511.029590556401 & 1602 \tabularnewline
4 & 1400.25 & 488.28607952157 & 1497 \tabularnewline
5 & 1313 & 539.385677498865 & 1604 \tabularnewline
6 & 1648.16666666667 & 544.640136960065 & 1587 \tabularnewline
7 & 1512.83333333333 & 499.798474539004 & 1600 \tabularnewline
8 & 1539.16666666667 & 416.807527704953 & 1438 \tabularnewline
9 & 1938.25 & 492.586517550701 & 1853 \tabularnewline
10 & 1950.28571428571 & 572.481939827425 & 1527 \tabularnewline
11 & NaN & NA & -Inf \tabularnewline
12 & NaN & NA & -Inf \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301367&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]3759.16666666667[/C][C]968.546599370167[/C][C]2711[/C][/ROW]
[ROW][C]2[/C][C]2294.33333333333[/C][C]496.038549332854[/C][C]1578[/C][/ROW]
[ROW][C]3[/C][C]1880.83333333333[/C][C]511.029590556401[/C][C]1602[/C][/ROW]
[ROW][C]4[/C][C]1400.25[/C][C]488.28607952157[/C][C]1497[/C][/ROW]
[ROW][C]5[/C][C]1313[/C][C]539.385677498865[/C][C]1604[/C][/ROW]
[ROW][C]6[/C][C]1648.16666666667[/C][C]544.640136960065[/C][C]1587[/C][/ROW]
[ROW][C]7[/C][C]1512.83333333333[/C][C]499.798474539004[/C][C]1600[/C][/ROW]
[ROW][C]8[/C][C]1539.16666666667[/C][C]416.807527704953[/C][C]1438[/C][/ROW]
[ROW][C]9[/C][C]1938.25[/C][C]492.586517550701[/C][C]1853[/C][/ROW]
[ROW][C]10[/C][C]1950.28571428571[/C][C]572.481939827425[/C][C]1527[/C][/ROW]
[ROW][C]11[/C][C]NaN[/C][C]NA[/C][C]-Inf[/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=301367&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301367&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	3759.16666666667	968.546599370167	2711
2	2294.33333333333	496.038549332854	1578
3	1880.83333333333	511.029590556401	1602
4	1400.25	488.28607952157	1497
5	1313	539.385677498865	1604
6	1648.16666666667	544.640136960065	1587
7	1512.83333333333	499.798474539004	1600
8	1539.16666666667	416.807527704953	1438
9	1938.25	492.586517550701	1853
10	1950.28571428571	572.481939827425	1527
11	NaN	NA	-Inf
12	NaN	NA	-Inf

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	188.513945809636
beta	0.189457657725426
S.D.	0.034878509966625
T-STAT	5.4319309485043
p-value	0.00062190949237194

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 188.513945809636 \tabularnewline
beta & 0.189457657725426 \tabularnewline
S.D. & 0.034878509966625 \tabularnewline
T-STAT & 5.4319309485043 \tabularnewline
p-value & 0.00062190949237194 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301367&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]188.513945809636[/C][/ROW]
[ROW][C]beta[/C][C]0.189457657725426[/C][/ROW]
[ROW][C]S.D.[/C][C]0.034878509966625[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.4319309485043[/C][/ROW]
[ROW][C]p-value[/C][C]0.00062190949237194[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301367&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301367&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	188.513945809636
beta	0.189457657725426
S.D.	0.034878509966625
T-STAT	5.4319309485043
p-value	0.00062190949237194

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	1.9382450436224
beta	0.579052561232639
S.D.	0.157600135932128
T-STAT	3.67418820934276
p-value	0.00627148177939011
Lambda	0.420947438767361

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.9382450436224 \tabularnewline
beta & 0.579052561232639 \tabularnewline
S.D. & 0.157600135932128 \tabularnewline
T-STAT & 3.67418820934276 \tabularnewline
p-value & 0.00627148177939011 \tabularnewline
Lambda & 0.420947438767361 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301367&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.9382450436224[/C][/ROW]
[ROW][C]beta[/C][C]0.579052561232639[/C][/ROW]
[ROW][C]S.D.[/C][C]0.157600135932128[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.67418820934276[/C][/ROW]
[ROW][C]p-value[/C][C]0.00627148177939011[/C][/ROW]
[ROW][C]Lambda[/C][C]0.420947438767361[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301367&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301367&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	1.9382450436224
beta	0.579052561232639
S.D.	0.157600135932128
T-STAT	3.67418820934276
p-value	0.00627148177939011
Lambda	0.420947438767361

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