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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

Fri, 26 Jul 2013 06:21:52 -0400

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/Jul/26/t1374834131z14hm6h5nscj736.htm/, Retrieved Mon, 29 Apr 2024 01:59:47 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=210829, Retrieved Mon, 29 Apr 2024 01:59:47 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Alexandra De Schutter

Estimated Impact

148

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

-       [Standard Deviation-Mean Plot] [omzet Oregon Scie...] [2013-07-26 10:21:52] [a5e81fc5b84eaf53b9dc73271fe36a59] [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 Maurice George Kendall' @ kendall.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 & 2 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210829&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 Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210829&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210829&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 Maurice George Kendall' @ kendall.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	322919.5	5702.70743514947	16978
2	308197.833333333	10914.8303600138	30142
3	283664.5	13997.7686825761	35332
4	248212.333333333	19064.3242415743	49716
5	221713.166666667	14468.5026544078	45786
6	197343.166666667	17407.8993659009	49714
7	167290	20651.5698368737	59528
8	133217.333333333	18360.2465884279	54274
9	94986.6666666667	27651.6556181405	75920
10	54586.1666666667	20748.3907714806	60222

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 322919.5 & 5702.70743514947 & 16978 \tabularnewline
2 & 308197.833333333 & 10914.8303600138 & 30142 \tabularnewline
3 & 283664.5 & 13997.7686825761 & 35332 \tabularnewline
4 & 248212.333333333 & 19064.3242415743 & 49716 \tabularnewline
5 & 221713.166666667 & 14468.5026544078 & 45786 \tabularnewline
6 & 197343.166666667 & 17407.8993659009 & 49714 \tabularnewline
7 & 167290 & 20651.5698368737 & 59528 \tabularnewline
8 & 133217.333333333 & 18360.2465884279 & 54274 \tabularnewline
9 & 94986.6666666667 & 27651.6556181405 & 75920 \tabularnewline
10 & 54586.1666666667 & 20748.3907714806 & 60222 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210829&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]322919.5[/C][C]5702.70743514947[/C][C]16978[/C][/ROW]
[ROW][C]2[/C][C]308197.833333333[/C][C]10914.8303600138[/C][C]30142[/C][/ROW]
[ROW][C]3[/C][C]283664.5[/C][C]13997.7686825761[/C][C]35332[/C][/ROW]
[ROW][C]4[/C][C]248212.333333333[/C][C]19064.3242415743[/C][C]49716[/C][/ROW]
[ROW][C]5[/C][C]221713.166666667[/C][C]14468.5026544078[/C][C]45786[/C][/ROW]
[ROW][C]6[/C][C]197343.166666667[/C][C]17407.8993659009[/C][C]49714[/C][/ROW]
[ROW][C]7[/C][C]167290[/C][C]20651.5698368737[/C][C]59528[/C][/ROW]
[ROW][C]8[/C][C]133217.333333333[/C][C]18360.2465884279[/C][C]54274[/C][/ROW]
[ROW][C]9[/C][C]94986.6666666667[/C][C]27651.6556181405[/C][C]75920[/C][/ROW]
[ROW][C]10[/C][C]54586.1666666667[/C][C]20748.3907714806[/C][C]60222[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210829&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210829&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	322919.5	5702.70743514947	16978
2	308197.833333333	10914.8303600138	30142
3	283664.5	13997.7686825761	35332
4	248212.333333333	19064.3242415743	49716
5	221713.166666667	14468.5026544078	45786
6	197343.166666667	17407.8993659009	49714
7	167290	20651.5698368737	59528
8	133217.333333333	18360.2465884279	54274
9	94986.6666666667	27651.6556181405	75920
10	54586.1666666667	20748.3907714806	60222

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	28192.2300647172
beta	-0.0555842234682221
S.D.	0.012833447230388
T-STAT	-4.33119975251899
p-value	0.00250792527404546

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 28192.2300647172 \tabularnewline
beta & -0.0555842234682221 \tabularnewline
S.D. & 0.012833447230388 \tabularnewline
T-STAT & -4.33119975251899 \tabularnewline
p-value & 0.00250792527404546 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210829&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]28192.2300647172[/C][/ROW]
[ROW][C]beta[/C][C]-0.0555842234682221[/C][/ROW]
[ROW][C]S.D.[/C][C]0.012833447230388[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.33119975251899[/C][/ROW]
[ROW][C]p-value[/C][C]0.00250792527404546[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210829&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210829&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	28192.2300647172
beta	-0.0555842234682221
S.D.	0.012833447230388
T-STAT	-4.33119975251899
p-value	0.00250792527404546

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	16.0671101163934
beta	-0.529397444633802
S.D.	0.196801970471614
T-STAT	-2.69000073203109
p-value	0.0274966041238496
Lambda	1.5293974446338

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 16.0671101163934 \tabularnewline
beta & -0.529397444633802 \tabularnewline
S.D. & 0.196801970471614 \tabularnewline
T-STAT & -2.69000073203109 \tabularnewline
p-value & 0.0274966041238496 \tabularnewline
Lambda & 1.5293974446338 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210829&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]16.0671101163934[/C][/ROW]
[ROW][C]beta[/C][C]-0.529397444633802[/C][/ROW]
[ROW][C]S.D.[/C][C]0.196801970471614[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.69000073203109[/C][/ROW]
[ROW][C]p-value[/C][C]0.0274966041238496[/C][/ROW]
[ROW][C]Lambda[/C][C]1.5293974446338[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210829&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210829&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	16.0671101163934
beta	-0.529397444633802
S.D.	0.196801970471614
T-STAT	-2.69000073203109
p-value	0.0274966041238496
Lambda	1.5293974446338

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