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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, 22 Dec 2016 20:33:23 +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/22/t1482435849ih87xzjkmn9bqn1.htm/, Retrieved Mon, 29 Apr 2024 00:04:01 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302653, Retrieved Mon, 29 Apr 2024 00:04:01 +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] [2016-12-22 19:33:23] [695928fec7566687630f1ba48b31beaa] [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=302653&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=302653&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302653&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	4885.41666666667	2210.14139647766	6282
2	4014.33333333333	2086.80718860757	6225
3	4097.5	2384.47118208248	7777
4	7459.16666666667	2075.40860526015	6103
5	8225.25	1634.9045635199	5287
6	4253	2461.91721299404	6211
7	5619.58333333333	2488.84878310264	7866
8	9138.66666666667	1109.29021805783	3333
9	6974.91666666667	2475.57109878741	7316
10	7746.08333333333	2959.24715420949	9176

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 4885.41666666667 & 2210.14139647766 & 6282 \tabularnewline
2 & 4014.33333333333 & 2086.80718860757 & 6225 \tabularnewline
3 & 4097.5 & 2384.47118208248 & 7777 \tabularnewline
4 & 7459.16666666667 & 2075.40860526015 & 6103 \tabularnewline
5 & 8225.25 & 1634.9045635199 & 5287 \tabularnewline
6 & 4253 & 2461.91721299404 & 6211 \tabularnewline
7 & 5619.58333333333 & 2488.84878310264 & 7866 \tabularnewline
8 & 9138.66666666667 & 1109.29021805783 & 3333 \tabularnewline
9 & 6974.91666666667 & 2475.57109878741 & 7316 \tabularnewline
10 & 7746.08333333333 & 2959.24715420949 & 9176 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302653&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]4885.41666666667[/C][C]2210.14139647766[/C][C]6282[/C][/ROW]
[ROW][C]2[/C][C]4014.33333333333[/C][C]2086.80718860757[/C][C]6225[/C][/ROW]
[ROW][C]3[/C][C]4097.5[/C][C]2384.47118208248[/C][C]7777[/C][/ROW]
[ROW][C]4[/C][C]7459.16666666667[/C][C]2075.40860526015[/C][C]6103[/C][/ROW]
[ROW][C]5[/C][C]8225.25[/C][C]1634.9045635199[/C][C]5287[/C][/ROW]
[ROW][C]6[/C][C]4253[/C][C]2461.91721299404[/C][C]6211[/C][/ROW]
[ROW][C]7[/C][C]5619.58333333333[/C][C]2488.84878310264[/C][C]7866[/C][/ROW]
[ROW][C]8[/C][C]9138.66666666667[/C][C]1109.29021805783[/C][C]3333[/C][/ROW]
[ROW][C]9[/C][C]6974.91666666667[/C][C]2475.57109878741[/C][C]7316[/C][/ROW]
[ROW][C]10[/C][C]7746.08333333333[/C][C]2959.24715420949[/C][C]9176[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302653&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302653&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	4885.41666666667	2210.14139647766	6282
2	4014.33333333333	2086.80718860757	6225
3	4097.5	2384.47118208248	7777
4	7459.16666666667	2075.40860526015	6103
5	8225.25	1634.9045635199	5287
6	4253	2461.91721299404	6211
7	5619.58333333333	2488.84878310264	7866
8	9138.66666666667	1109.29021805783	3333
9	6974.91666666667	2475.57109878741	7316
10	7746.08333333333	2959.24715420949	9176

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	2949.94638617485
beta	-0.121973701783646
S.D.	0.0855316912490886
T-STAT	-1.42606442129654
p-value	0.191682943959083

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2949.94638617485 \tabularnewline
beta & -0.121973701783646 \tabularnewline
S.D. & 0.0855316912490886 \tabularnewline
T-STAT & -1.42606442129654 \tabularnewline
p-value & 0.191682943959083 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302653&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2949.94638617485[/C][/ROW]
[ROW][C]beta[/C][C]-0.121973701783646[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0855316912490886[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.42606442129654[/C][/ROW]
[ROW][C]p-value[/C][C]0.191682943959083[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302653&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302653&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	2949.94638617485
beta	-0.121973701783646
S.D.	0.0855316912490886
T-STAT	-1.42606442129654
p-value	0.191682943959083

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	11.1987450358568
beta	-0.406899463325357
S.D.	0.276473108720616
T-STAT	-1.47175059884953
p-value	0.179300139360526
Lambda	1.40689946332536

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 11.1987450358568 \tabularnewline
beta & -0.406899463325357 \tabularnewline
S.D. & 0.276473108720616 \tabularnewline
T-STAT & -1.47175059884953 \tabularnewline
p-value & 0.179300139360526 \tabularnewline
Lambda & 1.40689946332536 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302653&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]11.1987450358568[/C][/ROW]
[ROW][C]beta[/C][C]-0.406899463325357[/C][/ROW]
[ROW][C]S.D.[/C][C]0.276473108720616[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.47175059884953[/C][/ROW]
[ROW][C]p-value[/C][C]0.179300139360526[/C][/ROW]
[ROW][C]Lambda[/C][C]1.40689946332536[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302653&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302653&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	11.1987450358568
beta	-0.406899463325357
S.D.	0.276473108720616
T-STAT	-1.47175059884953
p-value	0.179300139360526
Lambda	1.40689946332536

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 1 ; par3 = 1 ; par4 = 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