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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, 01 Dec 2007 04:14:13 -0700

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/2007/Dec/01/t1196507162flm4k4h286pvg2s.htm/, Retrieved Sun, 19 May 2024 17:45:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2205, Retrieved Sun, 19 May 2024 17:45:33 +0000

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IsPrivate?

No (this computation is public)

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Estimated Impact

221

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

-       [Standard Deviation-Mean Plot] [standard deviatio...] [2007-12-01 11:14:13] [bd02e85be52eb1cb060a2c60779eb820] [Current]

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Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2205&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2205&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2205&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 compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	32656.75	645.324460322797	2956
2	31862.6666666667	822.229378893233	3299
3	30712.1666666667	790.67587122242	1974
4	30636.5	899.332732439092	2446
5	32548.6666666667	1705.68473764715	5922
6	42140.6666666667	3487.99701139711	17960
7	59744.25	8831.77185069493	41186
8	80767.3333333333	4732.98232586703	56815
9	95243.5	3083.75442660993	67938

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 32656.75 & 645.324460322797 & 2956 \tabularnewline
2 & 31862.6666666667 & 822.229378893233 & 3299 \tabularnewline
3 & 30712.1666666667 & 790.67587122242 & 1974 \tabularnewline
4 & 30636.5 & 899.332732439092 & 2446 \tabularnewline
5 & 32548.6666666667 & 1705.68473764715 & 5922 \tabularnewline
6 & 42140.6666666667 & 3487.99701139711 & 17960 \tabularnewline
7 & 59744.25 & 8831.77185069493 & 41186 \tabularnewline
8 & 80767.3333333333 & 4732.98232586703 & 56815 \tabularnewline
9 & 95243.5 & 3083.75442660993 & 67938 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2205&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]32656.75[/C][C]645.324460322797[/C][C]2956[/C][/ROW]
[ROW][C]2[/C][C]31862.6666666667[/C][C]822.229378893233[/C][C]3299[/C][/ROW]
[ROW][C]3[/C][C]30712.1666666667[/C][C]790.67587122242[/C][C]1974[/C][/ROW]
[ROW][C]4[/C][C]30636.5[/C][C]899.332732439092[/C][C]2446[/C][/ROW]
[ROW][C]5[/C][C]32548.6666666667[/C][C]1705.68473764715[/C][C]5922[/C][/ROW]
[ROW][C]6[/C][C]42140.6666666667[/C][C]3487.99701139711[/C][C]17960[/C][/ROW]
[ROW][C]7[/C][C]59744.25[/C][C]8831.77185069493[/C][C]41186[/C][/ROW]
[ROW][C]8[/C][C]80767.3333333333[/C][C]4732.98232586703[/C][C]56815[/C][/ROW]
[ROW][C]9[/C][C]95243.5[/C][C]3083.75442660993[/C][C]67938[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2205&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2205&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	32656.75	645.324460322797	2956
2	31862.6666666667	822.229378893233	3299
3	30712.1666666667	790.67587122242	1974
4	30636.5	899.332732439092	2446
5	32548.6666666667	1705.68473764715	5922
6	42140.6666666667	3487.99701139711	17960
7	59744.25	8831.77185069493	41186
8	80767.3333333333	4732.98232586703	56815
9	95243.5	3083.75442660993	67938

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-177.603609018749
beta	0.060961318495946
S.D.	0.0345470518798238
T-STAT	1.76458815380275
p-value	0.120989002181705

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -177.603609018749 \tabularnewline
beta & 0.060961318495946 \tabularnewline
S.D. & 0.0345470518798238 \tabularnewline
T-STAT & 1.76458815380275 \tabularnewline
p-value & 0.120989002181705 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2205&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-177.603609018749[/C][/ROW]
[ROW][C]beta[/C][C]0.060961318495946[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0345470518798238[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.76458815380275[/C][/ROW]
[ROW][C]p-value[/C][C]0.120989002181705[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2205&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2205&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	-177.603609018749
beta	0.060961318495946
S.D.	0.0345470518798238
T-STAT	1.76458815380275
p-value	0.120989002181705

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-9.66899635241535
beta	1.60932038891501
S.D.	0.503384695755157
T-STAT	3.19699903967238
p-value	0.0151287550780124
Lambda	-0.609320388915008

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -9.66899635241535 \tabularnewline
beta & 1.60932038891501 \tabularnewline
S.D. & 0.503384695755157 \tabularnewline
T-STAT & 3.19699903967238 \tabularnewline
p-value & 0.0151287550780124 \tabularnewline
Lambda & -0.609320388915008 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2205&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-9.66899635241535[/C][/ROW]
[ROW][C]beta[/C][C]1.60932038891501[/C][/ROW]
[ROW][C]S.D.[/C][C]0.503384695755157[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.19699903967238[/C][/ROW]
[ROW][C]p-value[/C][C]0.0151287550780124[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.609320388915008[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2205&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2205&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	-9.66899635241535
beta	1.60932038891501
S.D.	0.503384695755157
T-STAT	3.19699903967238
p-value	0.0151287550780124
Lambda	-0.609320388915008

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code