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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

Sun, 21 Dec 2008 16:14:56 -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/2008/Dec/22/t1229901332x2cpekribz8qlvq.htm/, Retrieved Sun, 12 May 2024 22:40:17 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35905, Retrieved Sun, 12 May 2024 22:40:17 +0000

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Estimated Impact

172

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

-       [Standard Deviation-Mean Plot] [SD Mean plot Uitvoer] [2008-12-21 23:14:56] [ba85d9d0a82357dd3edf208eef933423] [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	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35905&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35905&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35905&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	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	15666.725	892.996981611174	2117.3
2	15249.375	1063.35653592763	2500.8
3	14547.05	1430.36349342862	3124.6
4	14576.65	1246.25632061252	2998.1
5	14903.675	796.360648512971	1654.1
6	14427.925	1576.94968715978	3415.6
7	15358.55	1371.39934981269	3283.4
8	15215.675	599.016518275303	1273
9	14308.025	1749.58233372997	3766
10	15710	936.7175703843	1865.5
11	16043.1	1443.41050525021	3320.6
12	15767.525	1651.06732423807	4004
13	17455	539.770864966484	1167.60000000000
14	17384.25	1392.01820989047	3132.3
15	16798.9	1460.95082509075	3444.9
16	18519.75	734.549410636661	1455.6
17	18377.425	1812.46487115383	3902.4
18	18243.8	1693.55000123016	3630
19	19175.325	1242.30124466653	2617.8
20	19360.875	1336.14905699177	2776.5
21	19510.775	1296.76646156250	3109
22	20138.225	1843.28559981898	4419.9
23	22326.575	758.880093185566	1585.40000000000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 15666.725 & 892.996981611174 & 2117.3 \tabularnewline
2 & 15249.375 & 1063.35653592763 & 2500.8 \tabularnewline
3 & 14547.05 & 1430.36349342862 & 3124.6 \tabularnewline
4 & 14576.65 & 1246.25632061252 & 2998.1 \tabularnewline
5 & 14903.675 & 796.360648512971 & 1654.1 \tabularnewline
6 & 14427.925 & 1576.94968715978 & 3415.6 \tabularnewline
7 & 15358.55 & 1371.39934981269 & 3283.4 \tabularnewline
8 & 15215.675 & 599.016518275303 & 1273 \tabularnewline
9 & 14308.025 & 1749.58233372997 & 3766 \tabularnewline
10 & 15710 & 936.7175703843 & 1865.5 \tabularnewline
11 & 16043.1 & 1443.41050525021 & 3320.6 \tabularnewline
12 & 15767.525 & 1651.06732423807 & 4004 \tabularnewline
13 & 17455 & 539.770864966484 & 1167.60000000000 \tabularnewline
14 & 17384.25 & 1392.01820989047 & 3132.3 \tabularnewline
15 & 16798.9 & 1460.95082509075 & 3444.9 \tabularnewline
16 & 18519.75 & 734.549410636661 & 1455.6 \tabularnewline
17 & 18377.425 & 1812.46487115383 & 3902.4 \tabularnewline
18 & 18243.8 & 1693.55000123016 & 3630 \tabularnewline
19 & 19175.325 & 1242.30124466653 & 2617.8 \tabularnewline
20 & 19360.875 & 1336.14905699177 & 2776.5 \tabularnewline
21 & 19510.775 & 1296.76646156250 & 3109 \tabularnewline
22 & 20138.225 & 1843.28559981898 & 4419.9 \tabularnewline
23 & 22326.575 & 758.880093185566 & 1585.40000000000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35905&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]15666.725[/C][C]892.996981611174[/C][C]2117.3[/C][/ROW]
[ROW][C]2[/C][C]15249.375[/C][C]1063.35653592763[/C][C]2500.8[/C][/ROW]
[ROW][C]3[/C][C]14547.05[/C][C]1430.36349342862[/C][C]3124.6[/C][/ROW]
[ROW][C]4[/C][C]14576.65[/C][C]1246.25632061252[/C][C]2998.1[/C][/ROW]
[ROW][C]5[/C][C]14903.675[/C][C]796.360648512971[/C][C]1654.1[/C][/ROW]
[ROW][C]6[/C][C]14427.925[/C][C]1576.94968715978[/C][C]3415.6[/C][/ROW]
[ROW][C]7[/C][C]15358.55[/C][C]1371.39934981269[/C][C]3283.4[/C][/ROW]
[ROW][C]8[/C][C]15215.675[/C][C]599.016518275303[/C][C]1273[/C][/ROW]
[ROW][C]9[/C][C]14308.025[/C][C]1749.58233372997[/C][C]3766[/C][/ROW]
[ROW][C]10[/C][C]15710[/C][C]936.7175703843[/C][C]1865.5[/C][/ROW]
[ROW][C]11[/C][C]16043.1[/C][C]1443.41050525021[/C][C]3320.6[/C][/ROW]
[ROW][C]12[/C][C]15767.525[/C][C]1651.06732423807[/C][C]4004[/C][/ROW]
[ROW][C]13[/C][C]17455[/C][C]539.770864966484[/C][C]1167.60000000000[/C][/ROW]
[ROW][C]14[/C][C]17384.25[/C][C]1392.01820989047[/C][C]3132.3[/C][/ROW]
[ROW][C]15[/C][C]16798.9[/C][C]1460.95082509075[/C][C]3444.9[/C][/ROW]
[ROW][C]16[/C][C]18519.75[/C][C]734.549410636661[/C][C]1455.6[/C][/ROW]
[ROW][C]17[/C][C]18377.425[/C][C]1812.46487115383[/C][C]3902.4[/C][/ROW]
[ROW][C]18[/C][C]18243.8[/C][C]1693.55000123016[/C][C]3630[/C][/ROW]
[ROW][C]19[/C][C]19175.325[/C][C]1242.30124466653[/C][C]2617.8[/C][/ROW]
[ROW][C]20[/C][C]19360.875[/C][C]1336.14905699177[/C][C]2776.5[/C][/ROW]
[ROW][C]21[/C][C]19510.775[/C][C]1296.76646156250[/C][C]3109[/C][/ROW]
[ROW][C]22[/C][C]20138.225[/C][C]1843.28559981898[/C][C]4419.9[/C][/ROW]
[ROW][C]23[/C][C]22326.575[/C][C]758.880093185566[/C][C]1585.40000000000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35905&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35905&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	15666.725	892.996981611174	2117.3
2	15249.375	1063.35653592763	2500.8
3	14547.05	1430.36349342862	3124.6
4	14576.65	1246.25632061252	2998.1
5	14903.675	796.360648512971	1654.1
6	14427.925	1576.94968715978	3415.6
7	15358.55	1371.39934981269	3283.4
8	15215.675	599.016518275303	1273
9	14308.025	1749.58233372997	3766
10	15710	936.7175703843	1865.5
11	16043.1	1443.41050525021	3320.6
12	15767.525	1651.06732423807	4004
13	17455	539.770864966484	1167.60000000000
14	17384.25	1392.01820989047	3132.3
15	16798.9	1460.95082509075	3444.9
16	18519.75	734.549410636661	1455.6
17	18377.425	1812.46487115383	3902.4
18	18243.8	1693.55000123016	3630
19	19175.325	1242.30124466653	2617.8
20	19360.875	1336.14905699177	2776.5
21	19510.775	1296.76646156250	3109
22	20138.225	1843.28559981898	4419.9
23	22326.575	758.880093185566	1585.40000000000

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1316.93480181557
beta	-0.00365320934627757
S.D.	0.0393558756641029
T-STAT	-0.0928250047707544
p-value	0.926922461489622

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1316.93480181557 \tabularnewline
beta & -0.00365320934627757 \tabularnewline
S.D. & 0.0393558756641029 \tabularnewline
T-STAT & -0.0928250047707544 \tabularnewline
p-value & 0.926922461489622 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35905&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1316.93480181557[/C][/ROW]
[ROW][C]beta[/C][C]-0.00365320934627757[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0393558756641029[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0928250047707544[/C][/ROW]
[ROW][C]p-value[/C][C]0.926922461489622[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35905&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35905&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	1316.93480181557
beta	-0.00365320934627757
S.D.	0.0393558756641029
T-STAT	-0.0928250047707544
p-value	0.926922461489622

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	8.08188756602598
beta	-0.103135244696595
S.D.	0.6250218303053
T-STAT	-0.165010627942735
p-value	0.870513718256071
Lambda	1.10313524469660

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 8.08188756602598 \tabularnewline
beta & -0.103135244696595 \tabularnewline
S.D. & 0.6250218303053 \tabularnewline
T-STAT & -0.165010627942735 \tabularnewline
p-value & 0.870513718256071 \tabularnewline
Lambda & 1.10313524469660 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35905&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.08188756602598[/C][/ROW]
[ROW][C]beta[/C][C]-0.103135244696595[/C][/ROW]
[ROW][C]S.D.[/C][C]0.6250218303053[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.165010627942735[/C][/ROW]
[ROW][C]p-value[/C][C]0.870513718256071[/C][/ROW]
[ROW][C]Lambda[/C][C]1.10313524469660[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35905&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35905&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	8.08188756602598
beta	-0.103135244696595
S.D.	0.6250218303053
T-STAT	-0.165010627942735
p-value	0.870513718256071
Lambda	1.10313524469660

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