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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

Sun, 30 May 2010 12:00:04 +0000

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/2010/May/30/t12752209778d2js3p637ctbmj.htm/, Retrieved Thu, 02 May 2024 15:40:31 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76691, Retrieved Thu, 02 May 2024 15:40:31 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

199

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

-       [Standard Deviation-Mean Plot] [Maandelijkse melk...] [2010-05-30 12:00:04] [5e13855820c5420788a37eb4bc7648e0] [Current]

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Dataseries X:

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Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	5 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 & 5 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76691&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]5 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=76691&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76691&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	5 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	615.75	56.1056227938957	174
2	630	58.5351487259035	177
3	658.75	56.2367156030487	176
4	673.083333333333	59.6100332209777	180
5	708.75	58.0706857670421	176
6	732.916666666667	59.3302901841322	177
7	748.833333333333	57.6396854027963	181
8	763.916666666667	58.3523129296725	181
9	782	57.3220566781948	179
10	834.083333333333	58.7869161901823	186
11	854.166666666667	61.0049675076224	195
12	842.583333333333	64.5254823987227	197
13	858.416666666667	64.8304899275212	196
14	862.666666666667	56.5755059967463	184

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 615.75 & 56.1056227938957 & 174 \tabularnewline
2 & 630 & 58.5351487259035 & 177 \tabularnewline
3 & 658.75 & 56.2367156030487 & 176 \tabularnewline
4 & 673.083333333333 & 59.6100332209777 & 180 \tabularnewline
5 & 708.75 & 58.0706857670421 & 176 \tabularnewline
6 & 732.916666666667 & 59.3302901841322 & 177 \tabularnewline
7 & 748.833333333333 & 57.6396854027963 & 181 \tabularnewline
8 & 763.916666666667 & 58.3523129296725 & 181 \tabularnewline
9 & 782 & 57.3220566781948 & 179 \tabularnewline
10 & 834.083333333333 & 58.7869161901823 & 186 \tabularnewline
11 & 854.166666666667 & 61.0049675076224 & 195 \tabularnewline
12 & 842.583333333333 & 64.5254823987227 & 197 \tabularnewline
13 & 858.416666666667 & 64.8304899275212 & 196 \tabularnewline
14 & 862.666666666667 & 56.5755059967463 & 184 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76691&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]615.75[/C][C]56.1056227938957[/C][C]174[/C][/ROW]
[ROW][C]2[/C][C]630[/C][C]58.5351487259035[/C][C]177[/C][/ROW]
[ROW][C]3[/C][C]658.75[/C][C]56.2367156030487[/C][C]176[/C][/ROW]
[ROW][C]4[/C][C]673.083333333333[/C][C]59.6100332209777[/C][C]180[/C][/ROW]
[ROW][C]5[/C][C]708.75[/C][C]58.0706857670421[/C][C]176[/C][/ROW]
[ROW][C]6[/C][C]732.916666666667[/C][C]59.3302901841322[/C][C]177[/C][/ROW]
[ROW][C]7[/C][C]748.833333333333[/C][C]57.6396854027963[/C][C]181[/C][/ROW]
[ROW][C]8[/C][C]763.916666666667[/C][C]58.3523129296725[/C][C]181[/C][/ROW]
[ROW][C]9[/C][C]782[/C][C]57.3220566781948[/C][C]179[/C][/ROW]
[ROW][C]10[/C][C]834.083333333333[/C][C]58.7869161901823[/C][C]186[/C][/ROW]
[ROW][C]11[/C][C]854.166666666667[/C][C]61.0049675076224[/C][C]195[/C][/ROW]
[ROW][C]12[/C][C]842.583333333333[/C][C]64.5254823987227[/C][C]197[/C][/ROW]
[ROW][C]13[/C][C]858.416666666667[/C][C]64.8304899275212[/C][C]196[/C][/ROW]
[ROW][C]14[/C][C]862.666666666667[/C][C]56.5755059967463[/C][C]184[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76691&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76691&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	615.75	56.1056227938957	174
2	630	58.5351487259035	177
3	658.75	56.2367156030487	176
4	673.083333333333	59.6100332209777	180
5	708.75	58.0706857670421	176
6	732.916666666667	59.3302901841322	177
7	748.833333333333	57.6396854027963	181
8	763.916666666667	58.3523129296725	181
9	782	57.3220566781948	179
10	834.083333333333	58.7869161901823	186
11	854.166666666667	61.0049675076224	195
12	842.583333333333	64.5254823987227	197
13	858.416666666667	64.8304899275212	196
14	862.666666666667	56.5755059967463	184

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	46.4642428974795
beta	0.0166977005713414
S.D.	0.00756611013815128
T-STAT	2.20690688695438
p-value	0.047543760177132

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 46.4642428974795 \tabularnewline
beta & 0.0166977005713414 \tabularnewline
S.D. & 0.00756611013815128 \tabularnewline
T-STAT & 2.20690688695438 \tabularnewline
p-value & 0.047543760177132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76691&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]46.4642428974795[/C][/ROW]
[ROW][C]beta[/C][C]0.0166977005713414[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00756611013815128[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.20690688695438[/C][/ROW]
[ROW][C]p-value[/C][C]0.047543760177132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76691&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76691&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	46.4642428974795
beta	0.0166977005713414
S.D.	0.00756611013815128
T-STAT	2.20690688695438
p-value	0.047543760177132

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	2.73941580025565
beta	0.202160831126426
S.D.	0.093151137600737
T-STAT	2.17024543482148
p-value	0.0507725905351827
Lambda	0.797839168873574

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.73941580025565 \tabularnewline
beta & 0.202160831126426 \tabularnewline
S.D. & 0.093151137600737 \tabularnewline
T-STAT & 2.17024543482148 \tabularnewline
p-value & 0.0507725905351827 \tabularnewline
Lambda & 0.797839168873574 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76691&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.73941580025565[/C][/ROW]
[ROW][C]beta[/C][C]0.202160831126426[/C][/ROW]
[ROW][C]S.D.[/C][C]0.093151137600737[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.17024543482148[/C][/ROW]
[ROW][C]p-value[/C][C]0.0507725905351827[/C][/ROW]
[ROW][C]Lambda[/C][C]0.797839168873574[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76691&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76691&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	2.73941580025565
beta	0.202160831126426
S.D.	0.093151137600737
T-STAT	2.17024543482148
p-value	0.0507725905351827
Lambda	0.797839168873574

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