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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

Wed, 29 Dec 2010 15:09:09 +0000

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/2010/Dec/29/t1293635262derpi77i41386oz.htm/, Retrieved Fri, 03 May 2024 04:35:42 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116900, Retrieved Fri, 03 May 2024 04:35:42 +0000

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Original text written by user:

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No (this computation is public)

User-defined keywords

Estimated Impact

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

-     [Standard Deviation-Mean Plot] [Paper] [2010-12-22 11:31:58] [fa854ea294f510d944d2dbf77761bfce]
-    D    [Standard Deviation-Mean Plot] [STMP] [2010-12-29 15:09:09] [981dc74bbbe380f77f181b59ba6310f8] [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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116900&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116900&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116900&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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	3819.08333333333	1445.57188798528	4402
2	4208.33333333333	1675.0405874775	4400
3	3952.41666666667	1390.15881750208	4618
4	3926.25	1253.00410831511	3171
5	3821.91666666667	1194.55792190579	3076
6	3862.25	1213.18687198784	3265
7	3970.66666666667	1344.78307364107	3658
8	3950.41666666667	1135.39247986471	3361
9	3970.66666666667	1356.71255971815	3942
10	4053.66666666667	1251.59980049777	3352
11	3897.5	1210.35092582125	2935
12	3778.66666666667	1368.25278986366	3760
13	3672.75	1156.06024732907	3277
14	3828	1165.99235924520	2962

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3819.08333333333 & 1445.57188798528 & 4402 \tabularnewline
2 & 4208.33333333333 & 1675.0405874775 & 4400 \tabularnewline
3 & 3952.41666666667 & 1390.15881750208 & 4618 \tabularnewline
4 & 3926.25 & 1253.00410831511 & 3171 \tabularnewline
5 & 3821.91666666667 & 1194.55792190579 & 3076 \tabularnewline
6 & 3862.25 & 1213.18687198784 & 3265 \tabularnewline
7 & 3970.66666666667 & 1344.78307364107 & 3658 \tabularnewline
8 & 3950.41666666667 & 1135.39247986471 & 3361 \tabularnewline
9 & 3970.66666666667 & 1356.71255971815 & 3942 \tabularnewline
10 & 4053.66666666667 & 1251.59980049777 & 3352 \tabularnewline
11 & 3897.5 & 1210.35092582125 & 2935 \tabularnewline
12 & 3778.66666666667 & 1368.25278986366 & 3760 \tabularnewline
13 & 3672.75 & 1156.06024732907 & 3277 \tabularnewline
14 & 3828 & 1165.99235924520 & 2962 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116900&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]3819.08333333333[/C][C]1445.57188798528[/C][C]4402[/C][/ROW]
[ROW][C]2[/C][C]4208.33333333333[/C][C]1675.0405874775[/C][C]4400[/C][/ROW]
[ROW][C]3[/C][C]3952.41666666667[/C][C]1390.15881750208[/C][C]4618[/C][/ROW]
[ROW][C]4[/C][C]3926.25[/C][C]1253.00410831511[/C][C]3171[/C][/ROW]
[ROW][C]5[/C][C]3821.91666666667[/C][C]1194.55792190579[/C][C]3076[/C][/ROW]
[ROW][C]6[/C][C]3862.25[/C][C]1213.18687198784[/C][C]3265[/C][/ROW]
[ROW][C]7[/C][C]3970.66666666667[/C][C]1344.78307364107[/C][C]3658[/C][/ROW]
[ROW][C]8[/C][C]3950.41666666667[/C][C]1135.39247986471[/C][C]3361[/C][/ROW]
[ROW][C]9[/C][C]3970.66666666667[/C][C]1356.71255971815[/C][C]3942[/C][/ROW]
[ROW][C]10[/C][C]4053.66666666667[/C][C]1251.59980049777[/C][C]3352[/C][/ROW]
[ROW][C]11[/C][C]3897.5[/C][C]1210.35092582125[/C][C]2935[/C][/ROW]
[ROW][C]12[/C][C]3778.66666666667[/C][C]1368.25278986366[/C][C]3760[/C][/ROW]
[ROW][C]13[/C][C]3672.75[/C][C]1156.06024732907[/C][C]3277[/C][/ROW]
[ROW][C]14[/C][C]3828[/C][C]1165.99235924520[/C][C]2962[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116900&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116900&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	3819.08333333333	1445.57188798528	4402
2	4208.33333333333	1675.0405874775	4400
3	3952.41666666667	1390.15881750208	4618
4	3926.25	1253.00410831511	3171
5	3821.91666666667	1194.55792190579	3076
6	3862.25	1213.18687198784	3265
7	3970.66666666667	1344.78307364107	3658
8	3950.41666666667	1135.39247986471	3361
9	3970.66666666667	1356.71255971815	3942
10	4053.66666666667	1251.59980049777	3352
11	3897.5	1210.35092582125	2935
12	3778.66666666667	1368.25278986366	3760
13	3672.75	1156.06024732907	3277
14	3828	1165.99235924520	2962

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-1284.47191735426
beta	0.660602535506563
S.D.	0.262238862376526
T-STAT	2.51908710066803
p-value	0.0269543492057929

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1284.47191735426 \tabularnewline
beta & 0.660602535506563 \tabularnewline
S.D. & 0.262238862376526 \tabularnewline
T-STAT & 2.51908710066803 \tabularnewline
p-value & 0.0269543492057929 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116900&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1284.47191735426[/C][/ROW]
[ROW][C]beta[/C][C]0.660602535506563[/C][/ROW]
[ROW][C]S.D.[/C][C]0.262238862376526[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.51908710066803[/C][/ROW]
[ROW][C]p-value[/C][C]0.0269543492057929[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116900&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116900&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	-1284.47191735426
beta	0.660602535506563
S.D.	0.262238862376526
T-STAT	2.51908710066803
p-value	0.0269543492057929

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-7.96392094643807
beta	1.82900569102741
S.D.	0.770992075971382
T-STAT	2.37227560182512
p-value	0.0352551233443167
Lambda	-0.82900569102741

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -7.96392094643807 \tabularnewline
beta & 1.82900569102741 \tabularnewline
S.D. & 0.770992075971382 \tabularnewline
T-STAT & 2.37227560182512 \tabularnewline
p-value & 0.0352551233443167 \tabularnewline
Lambda & -0.82900569102741 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116900&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-7.96392094643807[/C][/ROW]
[ROW][C]beta[/C][C]1.82900569102741[/C][/ROW]
[ROW][C]S.D.[/C][C]0.770992075971382[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.37227560182512[/C][/ROW]
[ROW][C]p-value[/C][C]0.0352551233443167[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.82900569102741[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116900&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116900&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	-7.96392094643807
beta	1.82900569102741
S.D.	0.770992075971382
T-STAT	2.37227560182512
p-value	0.0352551233443167
Lambda	-0.82900569102741

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