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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

Fri, 04 Dec 2009 03:04:58 -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/2009/Dec/04/t1259922215i2q3nppgyemvrp3.htm/, Retrieved Sat, 27 Apr 2024 19:09:11 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63243, Retrieved Sat, 27 Apr 2024 19:09:11 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

119

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

-       [Standard Deviation-Mean Plot] [standard deviatio...] [2009-12-04 10:04:58] [b243db81ea3e1f02fb3382887fb0f701] [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	'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63243&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63243&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63243&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	5600	82.2232732665555	199
2	5769.5	250.895064386156	562
3	6006	57.1080846582455	110
4	5972.75	20.3203510468364	44
5	6148.25	113.055664755612	255
6	6330.25	17.7834192437787	39
7	6225.75	36.3444172695982	70
8	6342.25	89.7826078183668	201
9	6511	28.1187956119509	62
10	6500.5	28.5014619508076	69
11	6556.5	168.658431946543	355
12	6812.25	65.347149899594	150
13	6611.5	111.989582848882	265
14	6476.75	57.3490772956869	118
15	6321.25	151.763796736903	291

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 5600 & 82.2232732665555 & 199 \tabularnewline
2 & 5769.5 & 250.895064386156 & 562 \tabularnewline
3 & 6006 & 57.1080846582455 & 110 \tabularnewline
4 & 5972.75 & 20.3203510468364 & 44 \tabularnewline
5 & 6148.25 & 113.055664755612 & 255 \tabularnewline
6 & 6330.25 & 17.7834192437787 & 39 \tabularnewline
7 & 6225.75 & 36.3444172695982 & 70 \tabularnewline
8 & 6342.25 & 89.7826078183668 & 201 \tabularnewline
9 & 6511 & 28.1187956119509 & 62 \tabularnewline
10 & 6500.5 & 28.5014619508076 & 69 \tabularnewline
11 & 6556.5 & 168.658431946543 & 355 \tabularnewline
12 & 6812.25 & 65.347149899594 & 150 \tabularnewline
13 & 6611.5 & 111.989582848882 & 265 \tabularnewline
14 & 6476.75 & 57.3490772956869 & 118 \tabularnewline
15 & 6321.25 & 151.763796736903 & 291 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63243&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]5600[/C][C]82.2232732665555[/C][C]199[/C][/ROW]
[ROW][C]2[/C][C]5769.5[/C][C]250.895064386156[/C][C]562[/C][/ROW]
[ROW][C]3[/C][C]6006[/C][C]57.1080846582455[/C][C]110[/C][/ROW]
[ROW][C]4[/C][C]5972.75[/C][C]20.3203510468364[/C][C]44[/C][/ROW]
[ROW][C]5[/C][C]6148.25[/C][C]113.055664755612[/C][C]255[/C][/ROW]
[ROW][C]6[/C][C]6330.25[/C][C]17.7834192437787[/C][C]39[/C][/ROW]
[ROW][C]7[/C][C]6225.75[/C][C]36.3444172695982[/C][C]70[/C][/ROW]
[ROW][C]8[/C][C]6342.25[/C][C]89.7826078183668[/C][C]201[/C][/ROW]
[ROW][C]9[/C][C]6511[/C][C]28.1187956119509[/C][C]62[/C][/ROW]
[ROW][C]10[/C][C]6500.5[/C][C]28.5014619508076[/C][C]69[/C][/ROW]
[ROW][C]11[/C][C]6556.5[/C][C]168.658431946543[/C][C]355[/C][/ROW]
[ROW][C]12[/C][C]6812.25[/C][C]65.347149899594[/C][C]150[/C][/ROW]
[ROW][C]13[/C][C]6611.5[/C][C]111.989582848882[/C][C]265[/C][/ROW]
[ROW][C]14[/C][C]6476.75[/C][C]57.3490772956869[/C][C]118[/C][/ROW]
[ROW][C]15[/C][C]6321.25[/C][C]151.763796736903[/C][C]291[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63243&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63243&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	5600	82.2232732665555	199
2	5769.5	250.895064386156	562
3	6006	57.1080846582455	110
4	5972.75	20.3203510468364	44
5	6148.25	113.055664755612	255
6	6330.25	17.7834192437787	39
7	6225.75	36.3444172695982	70
8	6342.25	89.7826078183668	201
9	6511	28.1187956119509	62
10	6500.5	28.5014619508076	69
11	6556.5	168.658431946543	355
12	6812.25	65.347149899594	150
13	6611.5	111.989582848882	265
14	6476.75	57.3490772956869	118
15	6321.25	151.763796736903	291

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	356.271046443114
beta	-0.0431581047615180
S.D.	0.0535565638767715
T-STAT	-0.805841555870177
p-value	0.434827627162153

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 356.271046443114 \tabularnewline
beta & -0.0431581047615180 \tabularnewline
S.D. & 0.0535565638767715 \tabularnewline
T-STAT & -0.805841555870177 \tabularnewline
p-value & 0.434827627162153 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63243&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]356.271046443114[/C][/ROW]
[ROW][C]beta[/C][C]-0.0431581047615180[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0535565638767715[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.805841555870177[/C][/ROW]
[ROW][C]p-value[/C][C]0.434827627162153[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63243&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63243&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	356.271046443114
beta	-0.0431581047615180
S.D.	0.0535565638767715
T-STAT	-0.805841555870177
p-value	0.434827627162153

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	21.3785230665225
beta	-1.96871778345078
S.D.	4.11875495582466
T-STAT	-0.477988568042063
p-value	0.64059586630305
Lambda	2.96871778345078

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 21.3785230665225 \tabularnewline
beta & -1.96871778345078 \tabularnewline
S.D. & 4.11875495582466 \tabularnewline
T-STAT & -0.477988568042063 \tabularnewline
p-value & 0.64059586630305 \tabularnewline
Lambda & 2.96871778345078 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63243&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]21.3785230665225[/C][/ROW]
[ROW][C]beta[/C][C]-1.96871778345078[/C][/ROW]
[ROW][C]S.D.[/C][C]4.11875495582466[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.477988568042063[/C][/ROW]
[ROW][C]p-value[/C][C]0.64059586630305[/C][/ROW]
[ROW][C]Lambda[/C][C]2.96871778345078[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63243&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63243&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	21.3785230665225
beta	-1.96871778345078
S.D.	4.11875495582466
T-STAT	-0.477988568042063
p-value	0.64059586630305
Lambda	2.96871778345078

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

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