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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

Sat, 30 Nov 2013 08:26:01 -0500

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/2013/Nov/30/t13858179821eumxsed5onm1rm.htm/, Retrieved Fri, 03 May 2024 04:35:43 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=229651, Retrieved Fri, 03 May 2024 04:35:43 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

112

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

-       [Standard Deviation-Mean Plot] [Wekelijkse verkoc...] [2013-11-30 13:26:01] [74a92a9d3a2c9c03f2186ea574174bd1] [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	3 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229651&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229651&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229651&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	3 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	227.323583333333	28.8527635023007	104.148
2	210.937666666667	7.28897081316365	26.293
3	210.641333333333	5.84455949554539	22.254
4	209.205833333333	4.63544360598232	16.089
5	207.650583333333	6.47778521996991	22.984
6	202.022416666667	12.7010134059404	42.582
7	194.182333333333	4.39862570135333	11.428
8	188.49	4.60193595625304	17.493
9	185.872583333333	6.44705665694655	25.393
10	175.884583333333	5.51997635795881	14.591
11	166.4105	3.50563757655891	10.126
12	160.83775	3.32475497730147	12.225
13	153.005083333333	3.89561472470435	15.984

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 227.323583333333 & 28.8527635023007 & 104.148 \tabularnewline
2 & 210.937666666667 & 7.28897081316365 & 26.293 \tabularnewline
3 & 210.641333333333 & 5.84455949554539 & 22.254 \tabularnewline
4 & 209.205833333333 & 4.63544360598232 & 16.089 \tabularnewline
5 & 207.650583333333 & 6.47778521996991 & 22.984 \tabularnewline
6 & 202.022416666667 & 12.7010134059404 & 42.582 \tabularnewline
7 & 194.182333333333 & 4.39862570135333 & 11.428 \tabularnewline
8 & 188.49 & 4.60193595625304 & 17.493 \tabularnewline
9 & 185.872583333333 & 6.44705665694655 & 25.393 \tabularnewline
10 & 175.884583333333 & 5.51997635795881 & 14.591 \tabularnewline
11 & 166.4105 & 3.50563757655891 & 10.126 \tabularnewline
12 & 160.83775 & 3.32475497730147 & 12.225 \tabularnewline
13 & 153.005083333333 & 3.89561472470435 & 15.984 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229651&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]227.323583333333[/C][C]28.8527635023007[/C][C]104.148[/C][/ROW]
[ROW][C]2[/C][C]210.937666666667[/C][C]7.28897081316365[/C][C]26.293[/C][/ROW]
[ROW][C]3[/C][C]210.641333333333[/C][C]5.84455949554539[/C][C]22.254[/C][/ROW]
[ROW][C]4[/C][C]209.205833333333[/C][C]4.63544360598232[/C][C]16.089[/C][/ROW]
[ROW][C]5[/C][C]207.650583333333[/C][C]6.47778521996991[/C][C]22.984[/C][/ROW]
[ROW][C]6[/C][C]202.022416666667[/C][C]12.7010134059404[/C][C]42.582[/C][/ROW]
[ROW][C]7[/C][C]194.182333333333[/C][C]4.39862570135333[/C][C]11.428[/C][/ROW]
[ROW][C]8[/C][C]188.49[/C][C]4.60193595625304[/C][C]17.493[/C][/ROW]
[ROW][C]9[/C][C]185.872583333333[/C][C]6.44705665694655[/C][C]25.393[/C][/ROW]
[ROW][C]10[/C][C]175.884583333333[/C][C]5.51997635795881[/C][C]14.591[/C][/ROW]
[ROW][C]11[/C][C]166.4105[/C][C]3.50563757655891[/C][C]10.126[/C][/ROW]
[ROW][C]12[/C][C]160.83775[/C][C]3.32475497730147[/C][C]12.225[/C][/ROW]
[ROW][C]13[/C][C]153.005083333333[/C][C]3.89561472470435[/C][C]15.984[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229651&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229651&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	227.323583333333	28.8527635023007	104.148
2	210.937666666667	7.28897081316365	26.293
3	210.641333333333	5.84455949554539	22.254
4	209.205833333333	4.63544360598232	16.089
5	207.650583333333	6.47778521996991	22.984
6	202.022416666667	12.7010134059404	42.582
7	194.182333333333	4.39862570135333	11.428
8	188.49	4.60193595625304	17.493
9	185.872583333333	6.44705665694655	25.393
10	175.884583333333	5.51997635795881	14.591
11	166.4105	3.50563757655891	10.126
12	160.83775	3.32475497730147	12.225
13	153.005083333333	3.89561472470435	15.984

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-27.9912892230529
beta	0.18511033724703
S.D.	0.0732069739666476
T-STAT	2.5285888381531
p-value	0.0280437309174493

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -27.9912892230529 \tabularnewline
beta & 0.18511033724703 \tabularnewline
S.D. & 0.0732069739666476 \tabularnewline
T-STAT & 2.5285888381531 \tabularnewline
p-value & 0.0280437309174493 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229651&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-27.9912892230529[/C][/ROW]
[ROW][C]beta[/C][C]0.18511033724703[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0732069739666476[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.5285888381531[/C][/ROW]
[ROW][C]p-value[/C][C]0.0280437309174493[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229651&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229651&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	-27.9912892230529
beta	0.18511033724703
S.D.	0.0732069739666476
T-STAT	2.5285888381531
p-value	0.0280437309174493

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-16.0240720594531
beta	3.39615493226796
S.D.	1.05702495387322
T-STAT	3.21293732926887
p-value	0.00826223794866053
Lambda	-2.39615493226796

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -16.0240720594531 \tabularnewline
beta & 3.39615493226796 \tabularnewline
S.D. & 1.05702495387322 \tabularnewline
T-STAT & 3.21293732926887 \tabularnewline
p-value & 0.00826223794866053 \tabularnewline
Lambda & -2.39615493226796 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229651&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-16.0240720594531[/C][/ROW]
[ROW][C]beta[/C][C]3.39615493226796[/C][/ROW]
[ROW][C]S.D.[/C][C]1.05702495387322[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.21293732926887[/C][/ROW]
[ROW][C]p-value[/C][C]0.00826223794866053[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.39615493226796[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229651&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229651&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	-16.0240720594531
beta	3.39615493226796
S.D.	1.05702495387322
T-STAT	3.21293732926887
p-value	0.00826223794866053
Lambda	-2.39615493226796

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